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The Nonlinear Problem of the 3d Datum Transformation and the Procrustes Algorithm

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Abstract

A special nonlinear problem is the three-dimensional datum transformation solved by the Procrustes Algorithm. A definition of the three-dimensional datum transformation with the coupled unknowns of type dilatation unknown, also called scale factor, translation and rotation unknown follows afterwards.

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References

  • Aarts, E.H. and Korst, J. (1989): Simulated Annealing and Boltzman Machines, Wiley, New York

    Google Scholar 

  • Abbe, E. (1906): Über die Gesetzmäßigkeit in der Verteilung der Fehler bei Beobachtungsreihen, Gesammelte Abhandlungen, Vol. II, Jena 1863 (1906)

    Google Scholar 

  • Abdous, B. and R. Theodorescu (1998): Mean, median, mode IV, Statistica Neerlandica 52 (1998), 356-359

    Google Scholar 

  • Abel, J.S. and Chaffee, J.W. (1991): Existence and uniqueness of GPS solutions, IEEE Transactions on Aerospace and ElectronicSystems 27} (1991) 952-956.

    Google Scholar 

  • I. Abhandlung Monatsberichte der Akademie der Wissenschafte 1853, Werke 4 (1929) 1-11

    Google Scholar 

  • Absil, P.A., Mahony, R., Sepulehre, R. and Van Dooren, P. (2002): A Grassmann-Rayleigh quotient iteration for computing invariant subspaces, SIAM Review 44 (2002), 57-73

    Google Scholar 

  • Abramowitz, M. and J.A. Stegun (1965): Handbook of mathematical functions, Dover Publication, New York 1965

    Google Scholar 

  • Adams, M. and V. Guillemin (1996): Measure theory and probability, 2nd edition, Birkhäuser-Verlag, Basel Boston Berlin 1996

    Google Scholar 

  • Adelmalek, N.N. (1974): On the discrete linear L1 approximation and L1 solutions of overdetermined linear equations, J. Approximation Theory 11 (1974), 38-53

    Google Scholar 

  • Adler, R. and Pelzer, H. (1994): Development of a Long Term Geodetic Monitoring System of Recent Crustal Activity Along the Dead Sea Rift. Final scientific report for the Gennan-Israel Foundation GIF

    Google Scholar 

  • Aduol, F.W.O. (1989): Intergrierte geodätische Netzanalyse mit stochastischer Vorinformation über Schwerefeld und Referenzellipsoid, DGK, Reihe C, Heft Nr. 351

    Google Scholar 

  • Afifi, A.A. and V. Clark (1996): Computer-aided multivariate analysis, Chapman and Hall, Boca Raton 1996

    Google Scholar 

  • Agnew, D.C. (1992): The time-domain behaviour of power-law noises. Geophysical research letters, 19(4):333-336, 1992

    Google Scholar 

  • Agostinelli, C. and M. Markatou (1998): A one-step robust estimator for regression based on the weighted likelihood reweighting scheme, Stat. & Prob. Letters 37 (1998), 341-350

    Google Scholar 

  • Agréo, G. (1995): Maximum likelihood estimation for the exponential power function parameters, Comm. Statist. Simul. Comput. 24 (1995), 523-536

    Google Scholar 

  • Aickin, M. and C. Ritenbaugh (1996): Analysis of multivariate reliability structures and the induced bias in linear model estimation, Statistics in Medicine 15 (1996), 1647-1661

    Google Scholar 

  • Aitchinson, J. and I.R. Dunsmore (1975): Statistical prediction analysis, Cambridge University Press, Cambridge 1975

    Google Scholar 

  • Aitken, A.C. (1935): On least squares and linear combinations of observations, Proc. Roy. Soc. Edinburgh 55 (1935), 42-48

    Google Scholar 

  • Airy, G.B. (1861): On the algebraical and numerical theory of errors of observations and the combination of observations, Macmillan Publ., London 1861

    Google Scholar 

  • Aki, K. and Richards P.G. (1980): Quantitative seismology, W.H. Freeman, San Francisco

    Google Scholar 

  • Albert, A. (1969): Conditions for positive and nonnegative definiteness in terms of pseudo inverses, SIAM J. Appl. Math. 17 (1969), 434-440

    Google Scholar 

  • Alberda, J.E. (1974): Planning and optimization of networks: some general considerations, Boll. di Geodesicl, e Scienze, Aff. 33 (1974) 209-240

    Google Scholar 

  • Albertella, A. and F. Sacerdote (1995): Spectral analysis of block averaged data in geopotential global model determination, Journal of Geodesy 70 (1995), 166-175

    Google Scholar 

  • Alcala, J.T., Cristobal, J.A. and W. Gonzalez-Manteiga (1999): Goodness-of-fit test for linear models based on local polynomials, Statistics & Probability Letters 42 (1999), 39-46

    Google Scholar 

  • Aldrich, J. (1999): Determinacy in the linear model: Gauss to Bose and Koopmans, International Statistical Review 67 (1999), 211-219

    Google Scholar 

  • Alefeld, G. and J. Herzberger (1974): Einfhrung in die Intervallrechung, Bibliographisches Inst. Mannheim 1974

    Google Scholar 

  • Alefeld, G. and J. Herzberger (1983): Introduction to interval computation. Computer science and applied mathematics, Academic Press, New York London 1983

    Google Scholar 

  • Ali, A.K.A., Lin, C.Y. and E.B. Burnside (1997): Detection of outliers in mixed model analysis, The Egyptian Statistical Journal 41 (1997), 182-194

    Google Scholar 

  • Allende, S., Bouza, C. and I. Romero (1995): Fitting a linear regression model by combining least squares and least absolute value estimation, Questiio 19 (1995), 107-121

    Google Scholar 

  • Allmer, F. Louis Krger (1857-1923), 25 pages, Technical University of Graz, Graz 2001 Alzaid, A.A. and L. Benkherouf (1995): First-order integer-valued autoregressive process with Euler marginal distributions, J. Statist. Res. 29 (1995), 89-92

    Google Scholar 

  • Amiri-Simkooei, A.R. (2004): A new method for second order design of geodetic networks: aiming at high reliability, survey Review, 37 (2004), pp. 552-560

    Google Scholar 

  • Amiri-Simkooei, A.R. (2007): Least-squares estimation of variance components, Theory and EPS applications, Ph.D. Thesis, Delft Univ. of Tech., delft, The Netherlands 2007

    Google Scholar 

  • An, H.-Z., F.J. Hickernell and L.-X. Zhu (1997): A new class of consistent estimators for stochastic linear regressive models, J. Multivar. Anal. 63 (1997), 242-258

    Google Scholar 

  • Andel, J. (1984): Statistische Analyse von Zeitreihen, Akademie Verlag, Stuttgart 1984

    Google Scholar 

  • Anderson, P.L. and M.M. Meerscaert (1997): Periodic moving averages of random variables with regularly varying tails, Ann. Statist. 25 (1997), 771-785

    Google Scholar 

  • Anderson, R.D., Henderson H.V., Pukelsheim F. and Searle S.R. (1984): Best estimation of variance components from balanced data, with arbitrary kurtosis, Mathematische Operationsforschung und Statistik, Series Statistics 15, pp. 163-176

    Google Scholar 

  • Anderson, T.W. (1945): Non-central Wishart Distribution and Its Application to Statistics, doctoral dissertation, Princeton University

    Google Scholar 

  • Anderson, T.W. (1946): The non-central Wishart distribution and certain problems of multivariate statistics, Ann. Math. Stat., 17, 409-431

    Google Scholar 

  • Anderson, T.W. (1948): The asymptotic distributions of the roots of certain determinantal equations, J. Roy. Stat. Soc., B, 10, 132-139

    Google Scholar 

  • Anderson, T.W. (1951): Classification by multivariate analysis, psychometrika, 16, 31-50

    Google Scholar 

  • Anderson, T.W. (1973): Asymptotically efficient estimation of covariance matrices with linear structure, The Annals of Statistics 1 (1973), 135-141

    Google Scholar 

  • Anderson, T.W. (1984): An introduction to multivariate statistical analysis, 2nd ed., J. Wiley, New York 1982

    Google Scholar 

  • Anderson, T.W. (2003): An introduction to multivariate statistical analysis, J. Wiley, Stanford CA, 2003

    Google Scholar 

  • Anderson, T.W. and M.A. Stephens (1972): Tests for randomness of directions against equatorial and bimodal alternatives, Biometrika 59 (1972), 613-621

    Google Scholar 

  • Anderson, W.N. and R.J. Duffin (1969): Series and parallel addition of matrices, J. Math. Anal. Appl. 26 (1969), 576-594

    Google Scholar 

  • Ando, T. (1979): Generalized Schur complements, Linear Algebra Appl. 27 (1979), 173-186

    Google Scholar 

  • Andrews, D.F. (1971): Transformations of multivariate data, Biometrics 27 (1971), 825-840

    Google Scholar 

  • Andrews, D.F. (1974): Technometrics 16 (1974), 523-531

    Google Scholar 

  • Andrews, D.F., Bickel, P.J. and F.R. Hampel (1972): Robust estimates of location, Princeton University Press, Princeton 1972

    Google Scholar 

  • Angelier, J., Tarantola, A., Vallete, B. and S. Manoussis (1982): Inversion of field data in fault tectonics to obtain the regional stress - I, Single phase fault populations: a new method of computing the stress tensor, Geophys. J. R. astr. Soc., 69, 607-621

    Google Scholar 

  • Angulo, J.M. and Bueso, M.C. (2001): Random perturbation methods applied to multivariate Spatial Sampling design, Environmetrics, 12, 631-646.

    Google Scholar 

  • Anh, V.V. and T. Chelliah (1999): Estimated generalized least squares for random coefficient regression models, Scandinavian J. Statist. 26 (1999), 31-46

    Google Scholar 

  • Anido, C. and T. Valdèes (2000): Censored regression models with double exponential error distributions: an iterative estimation procedure based on medians for correcting bias, Revista Matemèatica Complutense 13 (2000), 137-159

    Google Scholar 

  • Anscoube, F.J. (1960): Rejection of outliers, Technometrics, 2 (1960), pp. 123-147

    Google Scholar 

  • Ansley, C.F. (1985): Quick proofs of some regression theorems via the QR Algorithm, The American Statistician 39 (1985), 55-59

    Google Scholar 

  • Anton, H. (1994): Elementary linear algebra, J. Wiley, New York 1994

    Google Scholar 

  • Arcadis (1997): Ingenieurgeologischer Situationsbericht für 1997, Bericht des Pumpspeicherwerks Hohenwarthe, VEAG, 1997

    Google Scholar 

  • Archambeau, C.B. and Bradford, J.C. and Broome, P.W. and Dean, W.C. and Flinn, E.A. (1965): Data processing techniques for the detection and interpretation of teleseismic signals, Proc. IEEE 53 (1965), 1860-1865

    Google Scholar 

  • Arellano-Valle, R. and Bolfarine, H. and Lachos, V (2005): Skew-normal linear mixed models. In Journal of Data Science vol 3, pp.415-438

    Google Scholar 

  • Arnold, B.C. and R.M. Shavelle (1998): Joint confidence sets for the mean and variance of a normal distribution, J. Am. Statist. Ass. 52 (1998), 133-140

    Google Scholar 

  • Arnold, B.F. and P. Stahlecker (1998): Prediction in linear regression combining crisp data and fuzzy prior information, Statistics & Decisions 16 (1998), 19-33

    Google Scholar 

  • Arnold, B.F. and P. Stahlecker (1999): A note on the robustness of the generalized least squares estimator in linear regression, Allg. Statistisches Archiv 83 (1999), 224-229

    Google Scholar 

  • Arnold, K.J. (1941): On spherical probability distributions, P.H. Thesis, M.I.T., Boston 1941

    Google Scholar 

  • Arnold, S.F. (1981): The theory of linear models and multivariate analysis, J. Wiley, New York 1981

    Google Scholar 

  • Arrowsmith, D.K. and C.M. Place (1995): Differential equations, maps and chaotic behavior, Champman and Hall, London 1995

    Google Scholar 

  • Arun, K.S. (1992): A unitarily constrained total least squares problem in signal processing, SIAM J. Matrix Anal. Appl. 13 (1992), 729-745

    Google Scholar 

  • Ashkenazi V. and Grist, S. (1982): Inter-comparison of 3-D geodetic network adjustment models, International sypmosium on geodetic networks and computations of the I.A.G. Munich, August 31 to September 5, 1981.

    Google Scholar 

  • Atiyah, M.F., Hitchin, N.J. and Singer, J.M.: Self-duality in four-dimensional Riemannian geometry. Proc. Royal Soc. London A362 (1978) 425-461

    Google Scholar 

  • Austen, G. and Grafarend, E.W. and Reubelt, T. (2001): Anal: Earth’s gravitational field from semi continuous ephe low earth orbiting GPS-tracked satellite of type CRA or Goce, in: Vistas for Geodesy in the New Millenn Adam and Schwarz, International Association of Geo posia 125, 309-315, 2001

    Google Scholar 

  • Aven, T. (1993): Reliability and risk analysis, Chapman and Hall, Boca Raton 1993

    Google Scholar 

  • Awange, L.J. (1999): Partial procrustes solution of the three dimensional orientation problem from GPS/LPS observations, Quo vadis geodesia...? Festschrift to E.W. Grafarend on the occasion of his 60th birthday, Eds. F. Krumm and V.S. Schwarze, Report Nr. 1999.6-1

    Google Scholar 

  • Awange, J.L. (2002): Gröbner bases, multi polynomial resultants and the Gauss-Jacobi combinatorial algorithms - adjustment of nonlinear GPS/LPS observations, Schriftenreihe der Institute des Studiengangs Geodäsie und Geoinformatik, Report 2002.1

    Google Scholar 

  • Awange, J. and E.W. Grafarend (2002): Linearized Least Squares and nonlinear Gauss-Jacobi combinatorial algorithm applied to the 7-parameter datum transformation C7(3) problem, Zeitschrift für Vermessungswesen 127 (2002), 109-116

    Google Scholar 

  • Awange, J.L. (2012): Environmental Monitoring using GNSS. Global Navigation Satellite Systems, Springer, Berlin-New York.

    Google Scholar 

  • Azzalini, A. (1996): Statistical inference, Chapman and Hall, Boca Raton 1996

    Google Scholar 

  • Azzam, A.M.H. (1996): Inference in linear models with non stochastic biased factors, Egyptian Statistical Journal, ISSR - Cairo University 40 (1996), 172-181

    Google Scholar 

  • Azzam, A., Birkes, D. and J. Seely (1988): Admissibility in linear models with polyhedral covariance structure, Probability and Statistics, essays in honor of Franklin A. Graybill, J.N. Srivastava, Ed. Elsevier Science Publishers, B.V. (North-Holland), 1988

    Google Scholar 

  • Baarda, W. (1967): Statistical Concepts in Geodesy. Netherlands Geodetic Commission, Publications on Geodesy, New Series, Vol. 2, No.4, Delft.

    Google Scholar 

  • Baarda, W. (1967): A generalization of the concept strength of the figure, Publications on Geodesy, New Series 2, Delft 1967

    Google Scholar 

  • Baarda, W. (1968): A testing procedure for use in geodetic networks, Netherlands Geodetic Commission, New Series, Delft, Netherlands, 2 (5), 1968

    Google Scholar 

  • Baarda, W. (1973): S-transformations and criterion matrices, Netherlands Geodetic Commission, Vol. 5, No. 1, Delft 1973

    Google Scholar 

  • Baarda, W. (1977): Optimization of design and computations of control networks, F. Halmos and J. Somogyi (eds.), Akademiai Kiado, Budapest 1977, 419-436

    Google Scholar 

  • Babai, L. (1986): On Lovasz’ lattice reduction and the nearest lattice point problem, Combinatorica 6 (1986), 1-13

    Google Scholar 

  • Babu, G.J. and E.D. Feigelson (1996): Astrostatistics, Chapman and Hall, Boca Raton 1996

    Google Scholar 

  • Bai, J. (1994): Least squares estimation of a shift in linear processes, Journal of Time Series Analysis 15 (1994), 453-472

    Google Scholar 

  • Bognarova, M., Kubacek, L. and Volaufova J. (1996): Comparison of MINQUE and LMVQUIE by simulation. Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 35 (1996), 25-38.

    Google Scholar 

  • Bachelier, L. (1900): Theorie de le speculation, Ann, Sci. EC. Norm. Super. 17 (1900) 21-26

    Google Scholar 

  • Bähr, H.G. (1988): A quadratic approach to the non-linear treatment of non-redundant observations Manuscripta Geodaetica, 13} (1988) 191-197.

    Google Scholar 

  • Bähr, H.G. (1991): Einfach überbestimmtes ebenes Einschneiden, differentialgeometrisch analysiert, Zeitschrift für Vermessungswesen 116} (1991) 545-552.

    Google Scholar 

  • Bai, W.M., Vigny, C., Ricard, Y. and Froidevaus, C. (1992): On the origin of deviatoric stresses in the lithosphere, J. geophys. Res., B97, 11728-11737

    Google Scholar 

  • Bai, Z.D., Chan, X.R., Krishnaiah, P.R. and L.C. Zhao (1987): Asymptotic properties of the EVLP estimation for superimposed exponential signals in noise, Technical Report 87-19, CMA, University of Pittsburgh, Pittsburgh 1987

    Google Scholar 

  • Bai, Z.D. and Y. Wu (1997): General M-estimation, J. Multivar. Anal. 63 (1997), 119-135

    Google Scholar 

  • Bajaj, C.L. (1989): Geometric Modelling with Algebraic Surfaces. In: The Mathematics of Surfaces III, Ed.: D.C. Handscomb, Clarendon Press, Oxford.

    Google Scholar 

  • Bajaj, C., Garity, T. and Waren, J. (1988): On the applications of multi-equational resultants, Department of Computer Science, Purdue University, Technical Report CSD-TR-826, pp. 1-22, 1988.

    Google Scholar 

  • Baksalary, J.K. and Kala, R. (1981): Linear transformations preserving best linear unbiased estimators in a general Gauss-Markoff model. Ann. Stat. 9 (1981), 913-916.

    Google Scholar 

  • Baksalary, J.K. and A. Markiewicz (1988): Admissible linear estimators in the general Gauss-Markov model, J. Statist. Planning and Inference 19 (1988), 349-359

    Google Scholar 

  • Baksalary, J.K. and Puntanen, S. (1989): Weighted-Least-squares estimation in the general Gauss-Markov model. In: Statistical Data Analysis and Inference, Pap. Int. Conf., Neuchatel/Switzerl. (Y. Dodge, ed.), North-Holland, Amsterdam, pp. 355-368.

    Google Scholar 

  • Baksalary, J.K. and Liski, E.P. and G. Trenkler (1989): Mean square error matrix improvements and admissibility of linear estimators, J. Statist. Planning and Inference 23 (1989), 313-325

    Google Scholar 

  • Baksalary, J.K. and F. Pukelsheim (1989): Some properties of matrix partial ordering, Linear Algebra and it Appl., 119 (1989), pp. 57-85

    Google Scholar 

  • Baksalary, J.K. and F. Pukelsheim (1991): On the Löwner, Minus and Star partial orderings of nonnegative definite matrices and their squares, Linear Algebra and its Applications 151 (1991), 135-141

    Google Scholar 

  • Baksalary, J.K. and Rao, C.R., Markiewicz, A. (1992): A study of the influence of the “natural restrictions” on estimation problems in the singular Gauss-Markov model. J. Stat. Plann. Inference 31, 3 (1992), 335-351.

    Google Scholar 

  • Balakrishnan, N. and Basu, A.P. (eds.) (1995): The exponential distribution, Gordon and Breach Publishers, Amsterdam 1995

    Google Scholar 

  • Balakrishnan, N. and R.A. Sandhu (1996): Best linear unbiased and maximum likelihood estimation for exponential distributions under general progressive type-II censored samples, Sankhya 58 (1996), 1-9

    Google Scholar 

  • Bamler, R. and P. Hartl (1998): Synthetic aperture radar interferometry, Inverse Problems 14 (1998), R1-R54

    Google Scholar 

  • Banachiewicz, T. (1937): Zur Berechnung der Determinanten, wie auch der Inversen und zur darauf basierten Au ösung der Systeme linearen Gleichungen, Acta Astronom. Ser. C3 (1937), 41-67

    Google Scholar 

  • Bancroft, S. (1985): An algebraic solution of the GPS equations, IEEE Transaction on Aerospace and Electronic Systems AES-21} (1985) 56-59.

    Google Scholar 

  • Bandemer, H. (2005): Mathematik und Ungewissheit: Drei Essais zu Problemen der Anwendung, Edition avn Gutenberg platz, Leipzig 2005

    Google Scholar 

  • Bandemer, H. et al. (1976): Optimale Versuchsplanning, Z. Auflage Akademic Verlag, Berlin 1976

    Google Scholar 

  • Bandemer, H. et al. (1977): Theorie und Anwendung der optimalen Versuchsplanung I. Akademie-Verlag, Berlin

    Google Scholar 

  • Bandemer, H. and W. Nather (1980): Theorie and Anwendung der optimalen Versuchsplanung II, akademic Verlag, Berlin 1980

    Google Scholar 

  • Bandemer, H. and S. Gottwald (1993): Einfhrung in die Fuzzy-Methoden, Akademic-Verlag, Berlin 1993

    Google Scholar 

  • Bahndorf, J. (1991): Zur Systematisierung der Seilnetzberechnung und zur Optimierung von Seilnetzen. Deutsche Geodätische Kommission, Reihe C, Nr. 373, Miinchen.

    Google Scholar 

  • Bansal, N.K., Hamedani, G.G. and H. Zhang (1999): Non-linear regression with multidimensional indices, Statistics & Probability Letters 45 (1999), 175-186

    Google Scholar 

  • Barankin, E.W. (1949): Locally best unbiased estimates, Ann. Math. Statist. 20 (1949), 477-501

    Google Scholar 

  • Barber, B.C. (1993): The non-isotropic two-dimensional random walk, Waves in Random Media, 3 (1993) 243-256

    Google Scholar 

  • Barham, R.H. and W. Drane (1972): An algorithm for least squares estimation of nonlinear parameters when some of the parameters are linear, Technometrics 14 (1972), 757-766

    Google Scholar 

  • Barlett, M. (1933): On the theory of statistical regression, Proc. Roy. Soc.. Edinb., 53, 260-283.

    Google Scholar 

  • Barlett, M. (1937): Property od sufficiency and statistical tests, Proc. Roy. Soc., A 160, 268-282

    Google Scholar 

  • Barlett, M. (1947): Multivariate analysis, J. Roy. Stat. Soc., Supple., 9, 176-197.

    Google Scholar 

  • Barlow, R.E., Clarotti, C.A. and F. Spizzichino (eds.) (1993): Reliability and decision making, Chapman and Hall, Boca Raton 1993

    Google Scholar 

  • Barlow, R.E. and F. Proschan (1966): Tolerance and confidence limits for classes of distributions based on failure rate, Ann. Math. Statist 37 (1966), 1593-1601

    Google Scholar 

  • Barnard, J., McCulloch, R. and X.-L. Meng (2000): Modeling covariance matrices in terms of standard deviations and correlations, with application to shrinkage, Statistica Sinica 10 (2000), 1281-1311

    Google Scholar 

  • Barnard, M.M. (1935): The scalar variations of skull parameters in four series of Egyptian skulls, Ann. Eugen. 6 (1935), 352-371

    Google Scholar 

  • Barndorff-Nielsen, O. (1978): Information and exponential families in statistical theory, J. Wiley, New York, 238 pp.

    Google Scholar 

  • Barndorff-Nielsen, O.E., Cox, D.R. and C. Klüppelberg (2001): Complex stochastic systems, Chapman and Hall, Boca Raton, Florida 2001

    Google Scholar 

  • Barnett, V. and Lewis, T. (1994): Outliers in Statistical Data. John Wiley, New York, 1994.

    Google Scholar 

  • Barnett, V. (1999): Comparative statistical inference, 3rd ed., J. Wiley, New York 1999

    Google Scholar 

  • Barone, J. and A. Novikoff (1978): A history of the axiomatic formulation of probability from Borel to Kolmogorov, Part I, Archive for History of Exact Sciences 18 (1978), 123-190

    Google Scholar 

  • Barrlund, A. (1998): Efficient solution of constrained least squares problems with Kronecker product structure, SIAM J. Matrix Anal. Appl. 19 (1998), 154-160

    Google Scholar 

  • Barrodale, I. and D.D. Oleski (1981): Exponential approximation using Prony’s method, The Numerical Solution of Nonlinear Problems, eds. Baker, C.T.H. and C. Phillips, 258-269

    Google Scholar 

  • Bartelme, N. and Meissl, P. (1975): Ein einfaches, rasches und numerisch stabiles Verfahren zur Bestimmung des kürzesten Abstandes eines Punktes von einem sphäroidischen Rotationsellipsoid, Allgemeine Vermessungs-Nachrichten 82} (1975) 436-439.

    Google Scholar 

  • Bartlett, M.S. (1980): An introduction to stochastic processes with special reference to methods and applications, paperback edition, University press, Cambridge 1980

    Google Scholar 

  • Bartlett, M.S. and D.G. Kendall (1946): The statistical analysis of variance-heterogeneity and the logarithmic transformation, Queen’s College Cambridge, Magdalen College Oxford, Cambridge/Oxford 1946

    Google Scholar 

  • Bartoszynski, R. and M. Niewiadomska-Bugaj (1996): Probability and statistical inference, J. Wiley, New York 1996

    Google Scholar 

  • Barut, A.O. and R.B. Haugen (1972): Theory of the conformally invariant mass, Annals of Physics 71 (1972), 519-541

    Google Scholar 

  • Basset JR., G. and R. Koenker (1978): Asymptotic theory of least absolute error 73 (1978), 618-622

    Google Scholar 

  • Basawa, I.V. (2001): Inference in stochastic processes in: D.N. Shanbhag and C.R. Rao. Handbook of statistics, pp. 55-77, Vol 19, Elsevier Science 2001

    Google Scholar 

  • Basch, A. (1913): Uber eine Anwendung der graphostatischen Methode auf den Ausgleich von Beobachtungsergebnissen. OZfV 11, 11-18, 42-46.

    Google Scholar 

  • Baselga, S. (2007): Global Optimization Solution of Robust Estimation. J Surv. Eng. 2007, 133, 123-128.

    Google Scholar 

  • Basu, S. and Mukhopadhyay, S. (2000): Binary response regression with normal scale mixture links. Dey, D.K., Ghosh S.K.-and Mallick, B.K. eds., Generalized linear models: A Bayesian perspective, Marcel Dekker, New York

    Google Scholar 

  • Batchelor, G.K. (1946): Theory of axisymmetric turbulenz, Proc. Royal Soc. A186 (1946) 480

    Google Scholar 

  • Batchelor, G.K. and A.A. Townsend (1950): The nature of turbulent motion at large wave numbers, Fluid Mech. (1952) 238-255

    Google Scholar 

  • Batchelor, G.K. (1953): The theory of homogeneous turbulence, Cambridge University Press, Cambridge, 1953.

    Google Scholar 

  • Batchelor, G.K. (1967): The theory of homogenous turbulence, Cambridge (1967)

    Google Scholar 

  • Baselga, S. (2007): Critical Limitation in Use of’t Test for Gross Error Detection. J Surv. Eng. 2007, 133,52-55.

    Google Scholar 

  • Bateman, H. (1910): The transformation of the electrodynamical equations, Proc. London Math. Soc. 8 (1910), 223-264, 469-488

    Google Scholar 

  • Bateman, H. (1910): The transformation of coordinates which can be used to transform one physical problem into another, Proc. London Math. Soc. 8 (1910), 469-488

    Google Scholar 

  • Bates, D.M. and D.G. Watts (1980): Relative curvature measures of nonlinearity (with discussion), J. Roy. Statist. Soc. B42 (1980), 1-25

    Google Scholar 

  • Bates, D.M. and M.J. Lindstorm (1986): Nonlinear least squares with conditionally linear parameters, Proceedings of the Statistical Computation Section, American Statistical Association, Washington 1986

    Google Scholar 

  • Bates, D.M. and D.G. Watts (1988a): Nonlinear regression analysis and its applications, J. Wiley, New York 1988

    Google Scholar 

  • Bates, D.M. and D.G. Watts (1988b): Applied nonlinear regression, J. Wiley, New York 1988

    Google Scholar 

  • Bates, R.A., Riccomagno, E., Schwabe, R. and H.P. Wynn (1998): Lattices and dual lattices in optimal experimental design for Fourier models, Computational Statistics & Data Analysis 28 (1998), 283-296

    Google Scholar 

  • Batschelet, E. (1965): Statistical methods for the analysis of problems in animal orientation and certain biological rhythms, Amer. Inst. Biol. Sciences, Washington

    Google Scholar 

  • Batschelet, E. (1971): Recent statistical methods for orientation, (Animal Orientation Symposium 1970 on Wallops Island), Amer. Inst. Biol. Sciences, Washington, D.C., 1971

    Google Scholar 

  • Batschelet, E. (1981): Circular statistics in biology, Academic Press, New York London 1981

    Google Scholar 

  • Bauer, H. (1992): Maß- und Integrationstheorie, 2. Au age, Walter de Gruyter, Berlin New York 1992

    Google Scholar 

  • Bauer, H. (1996): Probability theory, de Gruyter Verlag, Berlin New York 1996

    Google Scholar 

  • Bayen, F. (1976): Conformal invariance in physics, in: Cahen, C. and M. Flato (eds.), Differential geometry and relativity, Reidel Publ., 171-195, Dordrecht 1976

    Google Scholar 

  • Beale, E.M. (1960): Confidence regions in non-linear estimation, J. Roy. Statist. Soc. B22 (1960), 41-89

    Google Scholar 

  • Beaton, A.E. and J.W. Tukey (1974): Technometrics 16 (1974), 147-185

    Google Scholar 

  • Becker, T. and Weispfenning, V. (1993): Gröbner bases. A computational approach to commutative algebra. Graduate Text in Mathematics 141, Springer-Verlag, New York 1993.

    Google Scholar 

  • Becker, T., Weispfennig, V. and H. Kredel (1998): Gröbner bases: a computational approach to commutative algebra, Corr. 2. print., Springer-Verlag, Heidelberg Berlin New York 1998

    Google Scholar 

  • Beckermann, B. and E.B. Saff (1999): The sensitivity of least squares polynomial approximation, Int. Series of Numerical Mathematics, Vol. 131: Applications and computation of orthogonal polynomials (eds. W. Gautschi, G.H. Golub, G. Opfer), 1-19, Birkhäuser-Verlag, Basel Boston Berlin 1999

    Google Scholar 

  • Beckers, J., Harnad, J., Perroud, M. and P. Winternitz (1978): Tensor fields invariant under subgroups of the conformal group of space-time, J. Math. Phys. 19 (1978), 2126-2153

    Google Scholar 

  • Beder, C. and Forstner, W, (2006): Direct Solutions for Computing Cylinders from Minima/ Sets of 3D Points. European Conference on Computer Vision ECCV 2006. Graz, Austria 2006, S. 135-146.

    Google Scholar 

  • Behnken, D.W. and N.R. Draper (1972): Residuals and their variance, Technometrics 11 (1972), 101-111

    Google Scholar 

  • Behrens, W.A. (1929): Ein Beitrag zur Fehlerberechnung bei wenigen Beobachtungen, Landwirtschaftliche Jahrbücher 68 (1929), 807-837

    Google Scholar 

  • Belikov, M.V. (1991): Spherical harmonic analysis and synthesis with the use of column-wise recurrence relations, manuscripta geodaetica 16 (1991), 384-410

    Google Scholar 

  • Belikov, M.V. and K.A. Taybatorov (1992): An efficient algorithm for computing the Earth’s gravitational potential and its derivatives at satellite altitudes, manuscripta geodaetica 17 (1992), 104-116

    Google Scholar 

  • Ben-Menahem, A. and Singh, S.J. (1981): Seismic waves and sources. Springer-Verlag New York 1981

    Google Scholar 

  • Ben-Israel, A. and T. Greville (1974): Generalized inverses: Theory and applications, J. Wiley, New York 1974

    Google Scholar 

  • Benbow, S.J. (1999): Solving generalized least-squares problems with LSQR, SIAM J. Matrix Anal. Appl. 21 (1999), 166-177

    Google Scholar 

  • Benciolini. B. (1984): Continuous networks II. Erice Lecture Notes, this volume. Heidelberg.

    Google Scholar 

  • Benda, N. and R. Schwabe (1998): Designing experiments for adaptively fitted models, in: MODA 5 - Advances in model-oriented data analysis and experimental design, Proceedings of the 5th International Workshop in Marseilles, eds. Atkinson, A.C., Pronzato, L. and H.P. Wynn, Physica-Verlag, Heidelberg 1998

    Google Scholar 

  • Bennett, B. M. (1951): Note on a solution of the generalized Behrens-Fisher problem, Ann.Insr:Srat:XIath., 2, 87-90.

    Google Scholar 

  • Bennett, R.J. (1979): Spatial time series, Pion Limited, London 1979

    Google Scholar 

  • Benning, W. (1974): Der kürzeste Abstand eines in rechtwinkligen Koordinaten gegebenen Außenpunktes vom Ellipsoid, Allgemeine Vermessungs-Nachrichten 81} (1974) 429-433.

    Google Scholar 

  • Benning, W. (1987): Iterative ellipsoidische Lotfußpunktberechung, Allgemeine Vermessungs-Nachrichten 94} (1987) 256-260.

    Google Scholar 

  • Benning, W. and Ahrens, B. (1979): Konzept und Realisierung eines Systems zur automatischen Fehlerlokalisierung und automatischen Berechnung von Naherungskoordinaten. N achrichten aus dem 6ffentlichen Vermessungsdienst N ordrhein-Westfalen, Heft 2, 107-124.

    Google Scholar 

  • Beran, R.J. (1968): Testing for uniformity on a compact homogeneous space, J. App. Prob. 5 (1968), 177-195

    Google Scholar 

  • Beran, R.J. (1979): Exponential models for directional data, Ann. Statist. 7 (1979), 1162-1178

    Google Scholar 

  • Beran, J. (1994): Statistical methods for long memory processes, Chapman and Hall, Boca Raton 1994

    Google Scholar 

  • Berberan, A. (1992): Outlier detection and heterogeneous observations - a simulation case study, Australian Journal of Geodesy, Photogrammetry and Surveying 56 (1992), 49-61

    Google Scholar 

  • Berberan, A. (1995): Multiple Outlier Detection-A Real Case Study. Surv. Rev. 1995, 33, 41-49.

    Google Scholar 

  • Bergbauer, K. and Lechner, W. and Schuchert, M. and Walk, R. (1979): Anlage, Beobachtung und Ausgleichung eines dreidimensionalen Testnetzes. Diplomarbeit Hochschule der bundeswehr. Nunchen 1979.

    Google Scholar 

  • Berger, M.P.F. and F.E.S. Tan (1998): Optimal designs for repeated measures experiments, Kwantitatieve Methoden 59 (1998), 45-67

    Google Scholar 

  • Berman, A. and R.J. Plemmons (1979): Nonnegative matrices in the mathematical sciences, Academic Press, New York London 1979

    Google Scholar 

  • Bertsekas, D.P. (1996): Incremental least squares methods and the extended Kalman filter, Siam J. Opt. 6 (1996), 807-822

    Google Scholar 

  • Berry, J.C. (1994): Improving the James-Stein estimator using the Stein variance estimator, Statist. Probab. Lett. 20 (1994), 241-245

    Google Scholar 

  • Bertuzzi, A., Gandolfi, A. and C. Sinisgalli (1998): Preference regions of ridge regression and OLS according to Pitman’s criterion, Sankhya: The Indian Journal of Statistics 60 (1998), 437-447

    Google Scholar 

  • Bessel, F.W. (1838): Untersuchungen über die Wahrscheinlichkeit der Beobachtungsfehler, Astronomische Nachrichten 15 (1838), 368-404

    Google Scholar 

  • Betensky, R.A. (1997): Local estimation of smooth curves for longitudinal data, Statistics in Medicine 16 (1997), 2429-2445

    Google Scholar 

  • Betti, B. and Crespi, M. and Sanso, F. (1993): A geometric illustration of ambiguity resolution in GPS theory and a Bayesian approach. Manuscr Geod 18:317-330

    Google Scholar 

  • Beylkin, G. and N. Saito (1993): Wavelets, their autocorrelation function and multidimensional representation of signals, in: Proceedings of SPIE - The international society of optical engineering, Vol. LB26, Int. Soc. for Optical Engineering, Bellingham 1993

    Google Scholar 

  • Bezdek, J.C. (1973): Fuzzy Mathematics in Pattern Classification, Ph.D. Thesis, Cornell University, Ithaca, NY

    Google Scholar 

  • Bhatia, R. (1996): Matrix analysis, Springer-Verlag, Heidelberg Berlin New York 1996

    Google Scholar 

  • Bhattacharyya, D.P. and R.D. Narayan (1939): Moments of the D 2-statistic for population with unequal dispresions, Sankhya, 5,401-412.

    Google Scholar 

  • Bhattacharya, R.N. and R. Ranga Rao (1976): Normal approximation and asymptotic expansions, J. Wiley, New York 1976

    Google Scholar 

  • Bhimasankaram, P. and Sengupta, D. (1996): The linear zero functions approach to linear models. Sankhya, Ser. B 58, 3 (1996), 338-351.

    Google Scholar 

  • Bhimasankaram, P. and SahaRay, R. (1997): On a partitioned linear model and some associated reduced models. Linear Algebra Appl. 264 (1997), 329-339.

    Google Scholar 

  • Bhimasankaram, P. and Sengupta, D., and Ramanathan, S. (1995): Recursive inference in a general linear model. Sankhya, Ser. A 57, 2 (1995), 227-255.

    Google Scholar 

  • Biacs, Z.F., Krakiwsky, E.J. and Lapucha, D. (1990): Reliability Analysis of Phase Observations in GPS Baseline Estimation. J Surv. Eng. 1990, 116, 204-224.

    Google Scholar 

  • Biancale, R., Balmino, G., Lemoine, J.-M., Marty, J.-M., Moynot, B., Barlier, F., Exertier, P., Laurain, O., Gegout, P., Schwintzer, P., Reigber Ch., Bode A., Konig, R., Massmann, F.-H., Raimondo, J.C., Schmidt, R. and Zhu, S.Y., (2000): A new global Earth’s gravity field model from satellite orbit perturbations: GRlMS-Sl. Geophys. Res. Lett., 27,3611-3614.

    Google Scholar 

  • Bibby, J. (1974): Minimum mean square error estimation, ridge regression, and some unanswered questions, colloquia mathematica societatis Janos Bolyai, Progress in statistics, ed. J. Gani, K. Sarkadi, I. Vincze, Vol. I, Budapest 1972, North Holland Publication Comp., Amsterdam 1974

    Google Scholar 

  • Bickel, P.J., Doksum, K. and J.L. Hodges (1982): A Festschrift for Erich L. Lehmann, Chapman and Hall, Boca Raton 1982

    Google Scholar 

  • Bickel, P.J. and K.A. Doksum (1981): An analysis of transformations revisited, J. Am. Statist. Ass. 76 (1981), 296-311

    Google Scholar 

  • Bierman, G.J. (1977): Factorization Methods for discrete sequential estimation, Academic Press, New York London 1997

    Google Scholar 

  • Bill, R. (1985): Kriteriummatrizen ebener geodätischer Netze, Ph.D. Thesis, Akademic d. Wissenschafien, Deutsche Geodätische Kommission, München,

    Google Scholar 

  • Bill, R. (1985b): Kriteriummatrizen ebener geodätischer Netze, Deutsche Geodätische Kommission, München, Reihe A, No. 102

    Google Scholar 

  • Bill, R. and Kaltenbach H. (1986): Kriteriummatrizen ebener geodätischer Netze - Zur Schutzung von Korrelations funktionen uvittels Polynomen and Splines, Acl. Vermessungsnaeir AVN 96 (1986) 148-156

    Google Scholar 

  • Bilodeau, M. and D. Brenner (1999): Theory of multivariate statistics, Springer-Verlag, Heidelberg Berlin New York 1999

    Google Scholar 

  • Bingham, C. (1964): Distributions on the sphere and projective plane, Ph. D. Thesis, Yale University 1964

    Google Scholar 

  • Bingham, C. (1974): An antipodally symmetric distribution on the sphere, Ann. Statist. 2 (1974), 1201-1225

    Google Scholar 

  • Bingham, C., Chang, T. and D. Richards (1992): Approximating the matrix Fisher and Bingham distributions: Applications to spherical regression and Procrustes analysis, Journal of Multivariate Analysis 41 (1992), 314-337

    Google Scholar 

  • Bini, D. and V. Pan (1994): Polynomial and matrix computations, Vol. 1: Fundamental Algorithms, Birkhäuser-Verlag, Basel Boston Berlin 1994

    Google Scholar 

  • Bill, R. (1984): Eine Strategie zur Ausgleichung und Analyse von Verdichtungsnetzen, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, Report C295, 91 pages, München 1984

    Google Scholar 

  • Bill, R. (1985): Kriterium matrizen chener geodätischer Netze, Deutsche Geodätische Kommission, Series A, report 102, Munich 1985

    Google Scholar 

  • Bill, R. and H. Kaltenbach (1985): Kriterium matrizen ebener geodesticher Netze, zur Schutzung von Korrelations functionen mittels Polynomen and Spline, All. Vermessungswesen 96 (1986), pp. 148-156

    Google Scholar 

  • Birtill, J.W. and Whiteway, F.E. (1965): The application of phased arrays to the analysis of seismic body waves, Phil.Trans.Roy.Soc. London, A 258 (1965), 421-493

    Google Scholar 

  • Bischof, C.H. and G. Quintana-Orti (1998): Computing rank-revealing QR factorizations of dense matrices, ACM Transactions on Mathematical Software 24 (1998), 226-253

    Google Scholar 

  • Bischoff, W. (1992): On exact D-optimal designs for regression models with correlated observations, Ann. Inst. Statist. Math. 44 (1992), 229-238

    Google Scholar 

  • Bischoff, W. and Heck, B., Howind, J. and Teusch, A. (2005): A procedure for testing the assumption of homoscedasticity in least squares residuals: a case study of GPS carrier-phase observations, Journal of Geodesy, 78:397-404, 2005.

    Google Scholar 

  • Bischoff, W. and Heck, B. and Howind, J. and Teusch, A. (2006): A procedure for estimating the variance function of linear models and for checking the appropriateness of estimated variances: a case study of GPS carrier-phase observations. J Geod 79(12):694-704

    Google Scholar 

  • Bradley, J.V. (1968): Distribution-free statistical tests, Englewood Cliffs, Prentice-Hall 1968

    Google Scholar 

  • Briscoe, H.W. and Fleck, P.L (1965): Data recording and processing for the experimental large aperture seismic array, Proc. IEEE 53 (1965), 1852-1859

    Google Scholar 

  • Bjerhammar, A. (1951): Rectangular reciprocal matrices with special reference to calculation, Bull. Gèeodèesique 20 (1951), 188-210

    Google Scholar 

  • Bjerhammar, A. (1951): Application of calculus of matrices to the method of least-squares with special reference to geodetic calculations, Trans. RIT, No. 49, Stockholm 1951

    Google Scholar 

  • Bjerhammar, A. (1955): En ny matrisalgebra, SLT 211-288, Stockholm 1955

    Google Scholar 

  • Bjerhammar, A. (1958): A generalized matrix algebra, Trans. RIT, No. 124, Stockholm 1958

    Google Scholar 

  • Bjerhammar, A. (1969): Linear Prediction and Filtering, Royal Inst. Techn. Div. Geodesy, Stockholm 1969.

    Google Scholar 

  • Bjerhammar, A. (1973): Theory of errors and generalized matrix inverses, Elsevier, Amsterdam 1973

    Google Scholar 

  • Björck, A. (1967): Solving linear least squares problems by Gram-Schmidt orthogonalization, Nordisk Tidskr. Informationsbehandling (BIT) 7 (1967), 1-21

    Google Scholar 

  • Björck, A. (1990): Least Squares Methods. In: Handbook of Numerical Analysis, Eds.: P.G. Ciarlet, J.L. Lions, North Holland, Amsterdam

    Google Scholar 

  • Björck, A. (1996): Numerical methods for least squares problems, SIAM, Philadelphia 1996

    Google Scholar 

  • Björck, A. and G.H. Golub (1973): Numerical methods for computing angles between linear subspaces, Mathematics of Computation 27 (1973), 579-594

    Google Scholar 

  • Björkström, A. and R. Sundberg (1999): A generalized view on continuum regression, Scandinavian Journal of Statistics 26 (1999), 17-30

    Google Scholar 

  • Blackman, R.B. (1965): Linear data - smoothing and prediction in theory and practice, Reading 1965

    Google Scholar 

  • Blaha, G. (1987): Nonlinear Parametric Least-Squares Adjustment. AFGL Technical Report 87-0204, Air Force Geophysics Laboratory, Bedford, Mass.

    Google Scholar 

  • Blaha, G. (1991): Non-Iterative Geometric Approach to Nonlinear Parametric Least-Squares Adjustment with or without Constraints. Report No. PL-TR-91-2136, Phillips Laboratory, Air Force Systems Command, Hanscom Air Force Base Massachusetts.

    Google Scholar 

  • Blaha, G. and Besette, R.P. (1989): Nonlinear least squares method via an isomorphic geometrical setup, Bulletin Geodesique 63} (1989) 115-138.

    Google Scholar 

  • Blaker, H. (1999): Shrinkage and orthogonal decomposition, Scandinavian Journal of Statistics 26 (1999), 1-15

    Google Scholar 

  • Blaschke, W.; Leichtweiss, K. (1973): Elementare Differentialgeometrie. Springer-Verlag, Berlin Heidelberg.

    Google Scholar 

  • Blewitt, G. (2000): Geodetic network optimization for geophysical parameters, Geophysical Research Letters 27 (2000), 2615-3618

    Google Scholar 

  • Bloomfield, P. and W.L. Steiger (1983): Least absolute deviations - theory, applications and algorithms, Birkhäuser-Verlag, Basel Boston Berlin 1983

    Google Scholar 

  • Bobrow, J.E. (1989): A direct minimization approach for obtaining the distance between convex polyhedra, Int. J. Robotics Research 8 (1989), 65-76

    Google Scholar 

  • Boedecker, G. (1977): The development of an observation scheme for the variance-covariance matrix of the unknowns, Proceedings International Symposium on Optimization of Design and Computation of Control Networks, Sopron 1977.

    Google Scholar 

  • Boggs, P.T., Byrd, R.H. and R.B. Schnabel (1987): A stable and efficient algorithm for nonlinear orthogonal distance regression, SIAM J. Sci. Stat. Comput. 8 (1987), 1052-1078

    Google Scholar 

  • Boik, R.J. (1986): Testing the rank of a matrix with applications to the analysis of interaction in ANOVA. J. Am. Stat. Assoc. 81 (1986), 243-248.

    Google Scholar 

  • Bollerslev, T. (1986): Generalized autoregressive conditional heteroskedasticity, J. Econometrics 31 (1986), 307-327

    Google Scholar 

  • Boogaart, K.G. and van den A. Brenning (2001): Why is universal kriging better than IRFkkriging: estimation of variograms in the presence of trend, Proceedings of 2001 Annual Conference of the International Association for Mathematical Geology, September 6-12, 2001, Cancun, Mexico

    Google Scholar 

  • Boogaart, K.G. and van den H. Schaeben (2002a): Kriging of regionalized directions, axes, and orientations 1. Directions and axes, Mathematical Geology, to appear

    Google Scholar 

  • Boogaart, K.G. and van den H. Schaeben (2002b): Krigging of normalised directions, axes, Month. Geology 34 (2002) 479

    Google Scholar 

  • Boon, F. and Ambrosius, B. (1997): Results of real-time applications of the LAMBDA method in GPS based aircraft landings. In: Proceedings KIS97, pp 339-345

    Google Scholar 

  • Boon, F., de Jonge, P.J. and Tiberius, C.C.J.M. (1997): Precise aircraft positioning by fast ambiguity resolution using improved troposphere modelling. In: Proceedings ION GPS-97. vol. 2, pp 1877-1884

    Google Scholar 

  • Booth, J.G. and J.P. Hobert (1996): Standard errors of prediction in generalized linear mixed models, J. Am. Statist. Ass. 93 (1996), 262-272

    Google Scholar 

  • Bopp, H.; Krauss, H. (1978): Strenge oder herk6mmliche bedingte Ausgleichung mit Unbekannten bei nichtlinearen Bedingungsgleichungen? Allgemeine Vermessungsnachrichten, 85. Jg., Heft 1, 27-3l.

    Google Scholar 

  • Bordes L., Nikulin, M. and V. Voinov (1997): Unbiased estimation for a multivariate exponential whose components have a common shift, J. Multivar. Anal. 63 (1997), 199-221

    Google Scholar 

  • Borg, I. and P. Groenen (1997): Modern multidimensional scaling, Springer Verlag, Berlin New York 1997

    Google Scholar 

  • Borkowski, K.M. (1987): Transformation of geocentric to geodetic coordinates without approximation, Astrophys. Space. Sci. 139} (1987) 1-4.

    Google Scholar 

  • Borkowski, K.M. (1989): Accurate algorithm to transform geocentric to geodetic coordinates, Bull. Geod. 63} (1989) 50-56.

    Google Scholar 

  • Borovkov, A.A. (1998): Mathematical statistics, Gordon and Breach Science Publishers, Amsterdam 1998

    Google Scholar 

  • Borre, K. (1977): Geodetic elasticity theory. Bulletin Geodesique, 63-71.

    Google Scholar 

  • Borre, K. (1978): Error propagation in absolute geodetic networks - a continuous approach -. Studia geophysica et geodaetica, 213-223.

    Google Scholar 

  • Borre, K. (1979a): Covariance functions for random error propagation in large geodetic networks. Scientific Bulletin of the Stanislaw I Staszic University of Mining and Metallurgy, Krakow, 23-33.

    Google Scholar 

  • Borre, K. (1979b): On discrete networks versus continua. 2. Int. Symp. wei tgespannte Fl achentra.gwerke. Beri chtsheft 2. p. 79-85. Stuttgart.

    Google Scholar 

  • Borre, K. (1980): Elasticity and stress-strain relations in geodetic networks, in: Proceedings of the International School of Advanced Geodesy, ed. E. Grafarend and A. Marussi, p. 335-374, Florence.

    Google Scholar 

  • Borre, K. (2001): Plane networks and their applications, Birkhäuser-Verlag, Basel Boston Berlin 2001

    Google Scholar 

  • Borre, K. and Meissl, P. (1974): Strength analysis of leveling type networks, an application of random walk theory, Geodaetisk Institute Meddelelse No. 50, Copenhagen.

    Google Scholar 

  • Borre, K. and T. Krarup (1974): Foundation of a Theory of Elasticity, for Geodetic Networks. 7. nordiske geodaetm0de i K0benhavn.

    Google Scholar 

  • Borre, K. and S.L. Lauritzen (1983): Some geometric aspects of adjustment, In. Festschrift to Torben Krarup, Eds. E. Kejlso et al., Geod. Inst., No. 58, pp. 70-90.

    Google Scholar 

  • Bos, M.S., Fernandes, R.M., Williams, S.D.P. and L. Bastos (2008): Fast error analysis of continuous GPS observations, J. Geodesy 82 (2008) 157-166

    Google Scholar 

  • Bose, R.C. (1944): The fundamental theorem of linear estimation, Proc. 31st Indian Scientific Congress (1944), 2-3

    Google Scholar 

  • Bose, R.C. (1947): The design of experiments, Presidential Address to Statistics Section, 34th session of the Indian Science Congress Assoc. 1947

    Google Scholar 

  • Bossler, J. (1973): A note on the meaning of generalized inverse solutions in geodesy, J. Geophys. Res. 78 (1973), 2616

    Google Scholar 

  • Bossler, J., Grafarend, E. and R. Kelm (1973): Optimal design of geodetic nets II, J. Geophys. Res. 78 (1973), 5887-5897

    Google Scholar 

  • Bossler, J., Grafarend, E. and R. Kelm (1973) : Optimal Design of Geodetic Nets II, J. Geophysical Research 78 (1973) 5837-5898

    Google Scholar 

  • Boulware, D.G., Brown, L.S. and R.D. Peccei (1970): Deep inelastic electroproduction and conformal symmetry, Physical Review D2 (1970), 293-298

    Google Scholar 

  • Bowring, B.R. (1976): Transformation from spatial to geographical coordinates, Survey Review 23} (1976) 323-327.

    Google Scholar 

  • Bowring, B.R. (1985): The accuracy of geodetic latitude and height equations, Survey Review 28} (1985) 202-206.

    Google Scholar 

  • Box, G.E.P. and D.R. Cox (1964): Ana analysis of transformations, J. Roy. Statist. Soc. B26 (1964), 211-252

    Google Scholar 

  • Box, G.E.P. and G. Tiao (1973): Bayesian inference in statistical analysis, Addison-Wesley, Reading 1973

    Google Scholar 

  • Box, G.E.P. and N.R. Draper (1987): Empirical model-building and response surfaces, J. Wiley, New York 1987

    Google Scholar 

  • Box, M.J. (1971): Bias in nonlinear estimation, J. Roy. Statist. Soc. B33 (1971), 171-201

    Google Scholar 

  • Branco, M.D. (2001): A general class of multivariate skew-elliptical distributions, J. Multivar. Anal. 79 (2001), 99-113

    Google Scholar 

  • Brandt, S. (1992): Datenanalyse. Mit statistischen Methoden und Computerprogrammen, 3. Au., BI Wissenschaftsverlag, Mannheim 1992

    Google Scholar 

  • Brandt, S. (1999): Data analysis: statistical and computational methods for scientists and engineers, 3rd ed., Springer-Verlag, Heidelberg Berlin New York 1999

    Google Scholar 

  • Brandstätter, G. (1974): Notiz zur analytischen Lösung des ebenen Rückwärtsschnittes, ÖsterreichischeZeitschrift für Vermessungswesen 61} (1974) 134-136.

    Google Scholar 

  • Braess, D. (1986): Nonlinear approximation theory, Springer-Verlag, Heidelberg Berlin New York 1986

    Google Scholar 

  • Branham, R.L. (1990): Scientific Data Analysis. An Introduction to Overdetermined Systems, Springer-Verlag, New York

    Google Scholar 

  • Brauner, H. (1981): Differentialgeometrie. Vieweg, Wiesbaden.

    Google Scholar 

  • Breckling, J. (1989): Analysis of directional time series: application to wind speed and direction, Springer-Verlag, Heidelberg Berlin New York 1989

    Google Scholar 

  • Bremand, P. (1999): Markov chains, Gibbs fields, Monte Carlo simulation and queues, Spring Verlag, New York 1999

    Google Scholar 

  • Breslow, N.E. and D.G. Clayton (1993): Approximate inference in generalized linear mixed models, J. Am. Statist. Ass. 88 (1993), 9-25

    Google Scholar 

  • Brill, M. and E. Schock (1987): Iterative solution of ill-posed problems - a survey, in: Model optimization in exploration geophysics, ed. A. Vogel, Vieweg, Braunschweig 1987

    Google Scholar 

  • Brillinger, E.D. (1964): An introduction to polyspectra, Economic Research Program Memorandum no 67, Princeton 1964

    Google Scholar 

  • Bro, R. (1997): A fast non-negativity-constrained least squares algorithm, J. Chemometrics 11 (1997), 393-401

    Google Scholar 

  • Bro, R. and S. de Jong (1997): A fast non-negativity-constrained least squares algorithm, Journal of Chemometrics 11 (1997), 393-401

    Google Scholar 

  • Brock, J.E. (1968), Optimal matrices describing linear systems, AIAA J. 6 (1968), 1292-1296

    Google Scholar 

  • Brockwell, P. and Davies, R. (2003). Time Series: Theorie and Methods. Springer, New York

    Google Scholar 

  • Brokken, F.B. (1983): Orthogonal Procrustes rotation maximizing congruence, Psychometrika 48} (1983) 343-352.

    Google Scholar 

  • Brovelli, M.A., Sanso, F. and G. Venuti (2003): A discussion on the Wiener-Kolmogorov prediction principle with easy-to-compute and robust variants, Journal of Geodesy 76 (2003), 673-683

    Google Scholar 

  • Brown, B. and R. Mariano (1989): Measures of deterministic prediction bias in nonlinear models, Int. Econ. Rev. 30 (1989), 667-684

    Google Scholar 

  • Brown, B.M., P. Hall, and G.A. Young (1997): On the effect of inliers on the spatial median, J. Multivar. Anal. 63 (1997), 88-104

    Google Scholar 

  • Brown, H. and R. Prescott (1999): Applied mixed models in medicine, J. Wiley, New York 1999

    Google Scholar 

  • Brown, K.G. (1976): Asymptotic behavior of Minque-type estimators of variance components, The Annals of Statistics 4 (1976), 746-754

    Google Scholar 

  • Brown, P.J., Le, N.D. and J.V. Zidek (1994): Multivariate spatial interpolation and exposure to air pollutants. Can J Stat 2:489-509

    Google Scholar 

  • Brown, W.S. (1971): On Euclid’s Algorithm and the Computation of Polynomial Greatest Common Divisors. Journal of the ACM, 18(4), 478-504.

    Google Scholar 

  • Brualdi, R.A. and H. Schneider (1983): Determinantal identities: Gauss, Schur, Cauchy, Sylvester, Kronecker, Jacobi, Binet, Laplace, Muir and Cayley, Linear Algebra Appl. 52/53 (1983), 765-791

    Google Scholar 

  • Brunk, H.D. (1958): On the estimation of parameters restricted by inequalities, Ann. Math. Statist. 29 (1958), 437-454

    Google Scholar 

  • Brunner, F.K. (1979): On the analysis of geodetic networks for the determination of the incremental strain tensor, Survey Review 25} (1979) 146-162.

    Google Scholar 

  • Brunner, F.K. (1999): Zur Präzision von GPS Messungen, Geowiss. Mitteilungen, TU Wien, Heft 50:1-10, 1999.

    Google Scholar 

  • Brunner, F.K., Hartinger, H. and L. Troyer (1999): GPS signal diffraction modelling: the stochastic sigma-model, Journal of Geodesy 73 (1999), 259-267

    Google Scholar 

  • Brunner, F.K. (2009): Ranm-veit analyse von GPs messengun mittels Turbulenz theorie, First holloquium E. Grafarend, Stuttgart 2009

    Google Scholar 

  • Bruno, A.D. (2000): Power geometry in algebraic and differential equations, Elsevier, Amsterdam Lausanne New York Oxford Shannon Singapore Tokyo 2000

    Google Scholar 

  • Brus, D.J. and de Gruijter, J.J. (1997): Random sampling or geostatistical modeling? Chosing between design-based and model-based sampling strategies for soil (with discussion). Geoderma 80:1-44

    Google Scholar 

  • Brus, D.J. and Heuvelink, G.B.M. (2007): Optimization of sample patterns for universal kriging of environmental variables. Geoderma 138: 86-95

    Google Scholar 

  • Brzèezniak, Z. and T. Zastawniak (1959): Basic stochastic processes, Springer-Verlag, Heidelberg Berlin New York 1959

    Google Scholar 

  • Buchberger, B. (1965a): Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalen PolynomideaL Dissertation der Universitat Innsbruck.

    Google Scholar 

  • Buchberger, B. (1965b): An algorithm for finding a basis for the residue class ring of a zero dimensional polynomial ideal (German), Ph.D. thesis, University of Innsbruck, Institute of Mathematics.

    Google Scholar 

  • Buchberger, B. (1970): Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungsystems, Aequationes Mathematicae 4} (1970) 374-383.

    Google Scholar 

  • Buchberger, B. (1979): A criterion for detecting unnecessary reductions in the construction of Groebner bases. Proceedings of the 1979 European Symposium on Symbolic and Algebraic computation, Springer lecture notes in Computer Science 72, Springer-Verlag, pp. 3-21, Berlin-Heidelberg-New York 1979.

    Google Scholar 

  • Buchberger, B. (1985): Groebner Bases: An Algorithmic Method in Polynomial Ideal Theory. In: Multidimensional Systems Theory, Ed.: N.K. Bose, D. Reidel Publishing Company, Dordrecht-Boston-Lancaster.

    Google Scholar 

  • Buchberger, B. and Kutzler, B. (1986): Computer-Algebra fiir den Ingenieur. In: Mathematische Methoden in der Technik, Hrsg.: J. Lehn, H. Neunzert, H. Wacker, Band 4, Rechnerorientierte Verfahren, B.G. Teubner, Stuttgart

    Google Scholar 

  • Buchberger, B. (1999): Personal communication.

    Google Scholar 

  • Buchberger, B. and Winkler, F. (1998): Groebner bases and applications. London mathematical society lecture note series 251, Cambridge university press, 1998.

    Google Scholar 

  • Buell, C.E. (1972): Correlation functions for wind and geopotential on isobaric surfaces, Journal of Applied Meteorology, 1972.

    Google Scholar 

  • Bueso, M.C., Angulo, J.M., Qian, G. and Alonso, F.J. (1999): Spatial sampling design based on stochastic complexity. J. Multivar. Anal. 71: 94-110

    Google Scholar 

  • Buhmann, M.D. (2001): Approximatipn and interpolation with radial functions, In: Multivariate Approximation and Applications, Cambridge University Press, Cambridge 2001, 25-43

    Google Scholar 

  • Bunday, B.D., S.M.H. Bokhari, and K.H. Khan (1997): A new algorithm for the normal distribution function, Sociedad de Estadistica e Investigacion Operativa 6 (1997), 369-377

    Google Scholar 

  • Bunke, H. and O. Bunke (1974): Identifiability and estimability, Math. Operationsforschg. Statist. 5 (1974), 223-233

    Google Scholar 

  • Bunke, H. and O. Bunke (1986): Statistical inference in linear models, J. Wiley, New York 1986

    Google Scholar 

  • Bunke, H. and O. Bunke (1989): Nonlinear regression, functional relations and robust methods, Vol 2, Wiley 1989

    Google Scholar 

  • Bunke, O. (1977): Mixed models, empirical Bayes and Stein estimators, Math. Operationsforschg. Ser. Statistics 8 (1977), 55-68

    Google Scholar 

  • Buonaccorsi, J., Demidenko, E. and T. Tosteson (2000): Estimation in longitudinal random effects models with measurement error, Statistica Sinica 10 (2000), 885-903

    Google Scholar 

  • Burg, J.P (1964): Three-dimensional filtering with an array of seismometers, Geophysics 29 (1964), 693-713

    Google Scholar 

  • Burns, F., Carlson, D., Haynsworth, E., and T. Markham (1974): Generalized inverse formulas using the Schur complement, SIAM J. Appl. Math. 26 (1974), 254-259

    Google Scholar 

  • Businger, P. and G.H. Golub (1965): Linear least squares solutions by Householder transformations, Numer. Math., 7 (1965), 269-276

    Google Scholar 

  • Butler, N.A. (1999): The efficiency of ordinary least squares in designed experiments subject to spatial or temporal variation, Statistics & Probability Letters 41 (1999), 73-81

    Google Scholar 

  • Caboara, M. and E. Riccomagno (1998): An algebraic computational approach to the identifiability of Fourier models, J. Symbolic Computation 26 (1998), 245-260

    Google Scholar 

  • Cadet, A. (1996): Polar coordinates in Rnp, application to the computation of the Wishart and Beta laws, Sankhya: The Indian Journal of Statistics 58 (1996), 101-114

    Google Scholar 

  • Cai, J. (2004): Statistical inference of the eigenspace components of a symmetric random deformation tensor, Dissertation, Deutsche Geodätische Kommission (DGK) Reihe C, Heft Nr. 577, 138 Seiten, München, 2004

    Google Scholar 

  • Cai, J. and Grafarend, E. and Schaffrin, B. (2004): The A-optimal regularization parameter in uniform Tykhonov-Phillips regularization - α-weighted BLE, IAG Symposia 127 “Hotine-Marussi Symposium on Mathematical Geodesy”, Matera, Italy, 17-21 June 2002, edited by F. Sanso, Springer, 309-324

    Google Scholar 

  • Cai, J. and Grafarend, E. and Schaffrin B. (2005): Statistical inference of the eigenspace components of a two-dimensional, symmetric rank two random tensor, J. of Geodesy, Vo1. 78, 426-437

    Google Scholar 

  • Cai, J. and Grafarend, E. (2007): Statistical analysis of the eigenspace components of the twodimensicnial, symmetric rank-two strain rate tensor derived from the space geodetic measurements (ITRF92-ITRF2000 data sets) in central Mediterranean and Western Europe, Geophysical Journal International, Vol. 168, 449-472

    Google Scholar 

  • Cai, J. and Koivula, H. and Poutanen, M. (2008): The statistical analysis of the eigenspace components of the strain rate tensor derived from FinnRef GPS measurements (1997-2004), IAG Symposia 132 “VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy”, Wuhan, China, 29 May-2 June, 2006, eds. P. Xu, J. Liu and A. Dermanis, pp. 79-87, Springer, Berlin, Heidelberg

    Google Scholar 

  • Cai, J. and Hu, C. and Grafarend, E. and Wang, J. (2008): The uniform Tykhonov-Phillips regularization (a weighted S-homBLE) and its application in GPS rapid static positioning, in Fennoscandia, IAG Symposia 132 “VI Hotine-Marussi Symposium on Theoretical and Computational Geodesy”, Wuhan, China, 29 May-2 June, 2006, eds. P. Xu, J. Liu and A. Dermanis, pp. 221-229, Springer, Berlin, Heidelberg

    Google Scholar 

  • Cai, J. and Wang, J. and Wu, J. and Hu, C. and Grafarend, E. and Chen, J. (2008): Horizontal deformation rate analysis based on multi-epoch GPS measurements in Shanghai, Journal of Surveying Engineenng, Vol. 134(4), 132-137

    Google Scholar 

  • Cai, J. and Grafarend, E. and Hu, C. (2009): The total optimal criterion in solving the mixed integer linear model with GNSS carrier phase observations, Journal of GPS Solutions, Vol. 13, 221-230, doi: 10.1007 Is 10291-008-0 115-y

    Google Scholar 

  • Calder, C. and Cressie, N. (2007): Some topics in convolution-based modeling. In Proceedings of the 56th session of the International Statistics Institute, Lisbon.

    Google Scholar 

  • Cambanis, S. and I. Fakhre-Zakeri (1996): Forward and reversed time prediction of autoregressive sequences, J. Appl. Prob. 33 (1996), 1053-1060

    Google Scholar 

  • Campbell, H.G. (1977): An introduction to matrices, vectors and linear programming, 2nd ed., Printice Hall, Englewood Cliffs 1977

    Google Scholar 

  • Candy, J.V. (1988): Signal processing, McGrow Hill, New York 1988

    Google Scholar 

  • Canny, J.F. (1988): The complexity of robot motion planning, ACM doctoral dissertation award, MIT Press, 1988.

    Google Scholar 

  • Canny, J.F., Kaltofen, E. and Yagati, L. (1989): Solving systems of nonlinear polynomial equations faster, Proceedings of the International Symposium on Symbolic and Algebraic Computations ISSAC, July 17-19, Portland, Oregon 1989. pp. 121-128.

    Google Scholar 

  • Carlin, B.P. and T.A. Louis (1996): Bayes and empirical Bayes methods, Chapman and Hall, Boca Raton 1996

    Google Scholar 

  • Carlitz, L. (1963): The inverse of the error function, Pacific J. Math. 13 (1963), 459-470

    Google Scholar 

  • Carlson, D., Haynsworth, E. and T. Markham (1974): A generalization of the Schur complement by means of the Moore-Penrose inverse, SIAM J. Appl. Math. 26 (1974), 169-179

    Google Scholar 

  • Carlson, D. (1986): What are Schur complements, anyway? Linear Algebra and its Applications 74 (1986), 257-275

    Google Scholar 

  • Carmo Do, M. (1983): Diiferentialgeometrie von Kurven und Flachen. Vieweg-Studium, Braunschweig.

    Google Scholar 

  • Carroll, J.D., Green, P.E. and A. Chaturvedi (1999): Mathematical tools for applied multivariate analysis, Academic Press, San Diego 1999

    Google Scholar 

  • Carroll, J.D. and P.E. Green (1997): Mathematical tools for applied multivariate analysis, Academic Press, San Diego 1997

    Google Scholar 

  • Carroll, R.J. and D. Ruppert (1982a): A comparison between maximum likelihood and generalized least squares in a heteroscedastic linear model, J. Am. Statist. Ass. 77 (1982), 878-882

    Google Scholar 

  • Carroll, R.J. and D. Ruppert (1982b): Robust estimation in heteroscedastic linear models, Ann. Statist., 10 (1982), pp. 429-441

    Google Scholar 

  • Carroll, R.J., Ruppert, D. and L. Stefanski (1995): Measurement error in nonlinear models, Chapman and Hall, Boca Raton 1995

    Google Scholar 

  • Carruthers, P. (1971): Broken scale invariance in particle physics, Phys. Lett. Rep. 1 (1971), 1-30

    Google Scholar 

  • Caspary, W. (1987): Concepts of Network and Deformation Analysis, Monograph 11, The University of New South Wales, School of Surveying, N.S.W., Australia, 1987

    Google Scholar 

  • Caspary, W.; Borutta, H. (1986): Geometrische Deformationsanalysemit robusten Schätzverfahren, Allgemeine Vermessungsnachrichten 8-9/1986, S.315-326

    Google Scholar 

  • Caspary, W. and Lohse, P. and Van Mierlo, J. (1991): SSG 4.120: Non-linear Adjustment. In: National Report of the Federal Republic of Germany on the Geodetic Activities in the Years 1987-1991, Eds.: E.W. Grafarend, K. Schnadelbach  Deutsche Geodätische Kommission, Reihe B, Nr.294.

    Google Scholar 

  • Caspary, W. and K. Wichmann (1994): Lineare Modelle. Algebraische Grundlagen und statistische Anwendungen, Oldenbourg Verlag, München/Wien 1994

    Google Scholar 

  • Castillo, J. (1994): The singly truncated normal distribution, a non-steep exponential family, Ann. Inst. Statist. Math 46 (1994), 57-66

    Google Scholar 

  • Castillo, J. and P. Puig (1997): Testing departures from gamma, Rayleigh and truncated normal distributions, Ann. Inst. Statist. Math. 49 (1997), 255-269

    Google Scholar 

  • Cattani, E., Dickenstein, A. and Sturmfels, B. (1998): Residues and resultants, J. Math. Sci. University of Tokyo 5} (1998) 119-148.

    Google Scholar 

  • Cayley, A. (1843): On the application os Quaternions to the theory of rotation, Phil. May. 33, (1848), pp. 196-200

    Google Scholar 

  • Cayley, A. (1845): On Jacobi’s elliptic functions, in reply to the Rev. B. Bronwix and on quaternions, Philos, May. 261 (1845), pp. 208-211

    Google Scholar 

  • Cayley, A. (1855): Sept differents memoires d’analyse, No. 3, Remarque sur la notation des fonctions algebriques, Journal für die reine und angewandte Mathematik 50 (1855), 282-285

    Google Scholar 

  • Cayley, A. (1857): A memoir on the theory of matrices, Phil. Trans. Roy. Soc. London, 148 (1857), pp. 17-37 (collected works, vol. 2, 475-496)

    Google Scholar 

  • Cayley, A. (1858): A memoir on the theory of matrices, Phil. Transactions, Royal Society of London 148 (1858), 17-37

    Google Scholar 

  • Cayley, A. (1863): On Jacobi’s elliptic functions, in reply to the Rev. B. Bronwin, and on quaternions (appendix only), in: The collected mathematical Papers, Johnson reprint Co., p. 127, New York, 1963

    Google Scholar 

  • Cayley, A. (1885): On the Quaternion equation qQ − Qq’ = 0, Messenger, 14 (1885), pp. 108-112

    Google Scholar 

  • Cenkov, N.N. (1972): Statistical decision rule and optimal inference, Nauka 1972

    Google Scholar 

  • Champagne, F.H. (1978): The fine scale structure of the turbulent velocity field, J. Fluid. Mech. 86 (1978) 67-108

    Google Scholar 

  • Chaffee, J. and Abel, J. (1994): On the exact solutions of the pseudorange equations, IEEE Transactions on Aerospace and Electronic Systems 30} (1994) 1021-1030.

    Google Scholar 

  • Chan, K.-S. and H. Tong (2001): Chaos, a statistical perspective, Springer-Verlag, Heidelberg Berlin New York 2001

    Google Scholar 

  • Chan, K.-S. and H. Tong (2002): A note on the equivalence of two approaches for specifying a Markov process, Bernoulli 8 (2002), 117-122

    Google Scholar 

  • Chan, T.F. and P.C. Hansen (1991): Some applications of the rank revealing QR factorizations, Numer. Linear Algebra Appl., 1 (1991), 33-44

    Google Scholar 

  • Chan, T.F. and P.C. Hansen (1992): Some applications of the rank revealing QR factorization, SIAM J. Sci. Statist. Comput., 13 (1992), 727-741

    Google Scholar 

  • Chandrasekar, S. (1950): The theory of axisymmetric turbulence, Proc. Royal Soc. a2242 (1950) 557

    Google Scholar 

  • Chandrasekar, S. and I.C.F. Ipsen (1995): Analysis of a QR algorithm for computing singular values, SIAM J. Matrix Anal. Appl. 16 (1995), 520-535

    Google Scholar 

  • Chandrasekar, S., Gu, M. and A.H. Sayed (1998): A stable and efficient algorithm for the indefinite linear least-squares problem, SIAM J. Matrix Anal. Appl. 20 (1998), 354-362

    Google Scholar 

  • Chandrasekar, S., Golub, G.H., Gu, M. and A.H. Sayed (1998): Parameter estimation in the presence of bounded data uncertainties, SIAM J. Matrix Anal. Appl. 19 (1998), 235-252

    Google Scholar 

  • Chang, F.-C. and Y.-R. Yeh (1998): Exact A-optimal designs for quadratic regression, Statistica Sinica 8 (1998), 527-533

    Google Scholar 

  • Chang, H. and Fu, A.Q. and Le, N.D. and Zidek J.V. (2005): Designing environmental monitoring networks for measuring extremes. http://www.samsi.info/TR/tr2005-04.pdf

  • Chang, T. (1986): Spherical regression, Annals of Statistics 14 (1986), 907-924

    Google Scholar 

  • Chang, T. (1988): Estimating the relative rotations of two tectonic plates from boundary crossings, J. Am. Statist. Ass. 83 (1988), 1178-1183

    Google Scholar 

  • Chang, T. (1993): Spherical regression and the statistics of tectonic plate reconstructions, International Statis. Rev. 51 (1993), 299-316

    Google Scholar 

  • Chang, X.W., Yang, X., Zhou, T. (2005): MLAMBDA: a modified LAMBDA method for integer ambiguity determination, Proceedings ION GNSS2005, Long Beach

    Google Scholar 

  • Chapman, D.G. and H. Robbins (1951): Minimum variance estimation without regularity assumptions, Ann. Math. Statist. 22 (1951), 581-586

    Google Scholar 

  • Char, B.W. et al. (1990): MAPLE Reference Manual. Fifth Edition. Waterloo Maple Publishing

    Google Scholar 

  • Chartres, B.A. (1963): A geometrical proof of a theorem due to Slepian, SIAM Review 5 (1963), 335-341

    Google Scholar 

  • Chatfield, C. and A.J. Collins (1981): Introduction to multivariate analysis, Chapman and Hall, Boca Raton 1981

    Google Scholar 

  • Chatterjee, S. and A.S. Hadi (1986): Influential observations, high leverage points, and outliers in linear regression, Stat. Sci. 1 (1986), pp. 379-416

    Google Scholar 

  • Chatterjee, S. and A.S. Hadi (1988): Sensitivity analysis in linear regression, J. Wiley, New York 1988

    Google Scholar 

  • Chatterjee, S. and M. Mächler (1997): Robust regression: a weighted least-squares approach, Commun. Statist. Theor. Meth. 26 (1997), 1381-1394

    Google Scholar 

  • Chaturvedi, A. and A.T.K. Wan (1998): Stein-rule estimation in a dynamic linear model, J. Appl. Stat. Science 7 (1998), 17-25

    Google Scholar 

  • Chaturvedi, A. and A.T.K. Wan (1999): Estimation of regression coefficients subject to interval constraints in models with non-spherical errors, Indian Journal of Statistics 61 (1999), 433-442

    Google Scholar 

  • Chaturvedi, A. and A.T.K. Wan (2001): Stein-rule restricted regression estimator in a linear regression model with nonspherical disturbances, Commun. Statist.-Theory Meth. 30 (2001), 55-68

    Google Scholar 

  • Chauby, Y.P. (1980): Minimum norm quadratic estimators of variance components, Metrika 27 (1980), 255-262

    Google Scholar 

  • Chen, Hsin-Chu. (1998): Generalized reexive matrices: Special properties and applications, Society for Industrial and Applied Mathematics, 009 (1998), 141-153

    Google Scholar 

  • Chen, L: Math. Phys. 167 (1995) 443-469

    Google Scholar 

  • Chen, X. (2001): On maxima of dual function of the CDT subproblem, J. Comput. Mathematics 19 (2001), 113-124

    Google Scholar 

  • Chen Y.-S. (2001): Outliers detection and confidence interval modification in fuzzy regression Fuzzy Sets Syst. 119, 2 (2001), 259-272.

    Google Scholar 

  • Chen, Z. and J. Mi (1996): Confidence interval for the mean of the exponential distribution, based on grouped data, IEEE Transactions on Reliability 45 (1996), 671-677

    Google Scholar 

  • Chen, V.C.P., Tsui, K.L., Barton, R.R. and Meckesheimer, M. (2006): A review on design, modeling and applications of computer experiments. IIE Trans 38:273-291

    Google Scholar 

  • Chen, Y.Q., Kavouuras, M. and Chrzanowski, A. (1987): A Strategy for Detection of Outlying Observations in Measurements of High Precision. The Canadian Surveyor. 41:529-540.

    Google Scholar 

  • Cheng, C.L. and van J.W. Ness (1999): Statistical regression with measurement error, Arnold Publ., London 1999

    Google Scholar 

  • Cheng, C.L. (1998): Polynomial regression with errors in variables, J. Roy. Statist. Soc. B60 (1998), 189-199

    Google Scholar 

  • Cherioito, P. (2001): Mixed fractional Brownian motion, Bernoulli 7 (2001) 913-934

    Google Scholar 

  • Chiang, C.-Y. (1998): Invariant parameters of measurement scales, British Journal of Mathematical and Statistical Psychology 51 (1998), 89-99

    Google Scholar 

  • Chiang, C.L. (2003): Statistical methods of analysis, University of California, Berkeley, USA 2003

    Google Scholar 

  • Chikuse, Y. (1999): Procrustes analysis on some special manifolds, Commun. Statist. Theory Meth. 28 (1999), 885-903

    Google Scholar 

  • Chilées, J.P. and P. Delfiner (1999): Geostatistics - modelling spatial uncertainty, J. Wiley, New York 1999

    Google Scholar 

  • Chiodi, M. (1986): Procedures for generating pseudo-random numbers from a normal distribution of order, Riv. Stat. Applic. 19 (1986), 7-26

    Google Scholar 

  • Chmielewski, M.A. (1981): Elliptically symmetric distributions: a review and bibliography, International Statistical Review 49 (1981), 67-74

    Google Scholar 

  • Chow, Y.S. and H. Teicher (1978): Probability theory, Springer-Verlag, Heidelberg Berlin New York 1978

    Google Scholar 

  • Chow, T.L. (2000): Mathematical methods for physicists, Cambridge University Press, Cambridge 2000

    Google Scholar 

  • Christensen, R. (1991): Linear models for multivariate time series and spatial data. Springer, Berlin

    Google Scholar 

  • Christensen, R. (1996): Analysis of variance, design and regression, Chapman and Hall, Boca Raton 1996

    Google Scholar 

  • Chrystal, G. (1964): Textbook of Algebra (Vol. 1), Chelsea, New York 1964.

    Google Scholar 

  • Chrzanowski, A. and Chen, Y.Q. (1998): Deformation monitoring, analysis, and prediction - status report, Proc. FIG XIX into Congress, Helsinki, Vo1. 6, pp. 84-97

    Google Scholar 

  • Chrzanowski, A. Chen, Y.Q. and Secord, M. (1983): On the strain analysis of tectonic movements using fault crossing geodetic surveys, Tectonophysics, 97, 297-315:

    Google Scholar 

  • Crocetto, N. and Vettore, A. (2001): Best unbiased estimation of variance-covariance components: From condition adjustment to a generalized methodology. J. Inf. Optimization Sci. 22, 1 (2001), 113-122.

    Google Scholar 

  • Chiles, J.P. and P. Delfiner (1999): Geostatistics: modeling spatial uncertainty, Wiley series, New York 1999

    Google Scholar 

  • Chui, C.K. and G. Chen (1989): Linear Systems and optimal control, Springer-Verlag, Heidelberg Berlin New York 1989

    Google Scholar 

  • Chui, C.K. and G. Chen (1991): Kalman filtering with real time applications, Springer-Verlag, Heidelberg Berlin New York 1991

    Google Scholar 

  • Ciarlet, P.G. (1988): Mathematical elasticity, Vol. 1: three-dimensional elasticity, North Holland Publ. Comp., Amsterdam

    Google Scholar 

  • Claerbout, J.F. (1964): Detection of p - waves from weak sources at great distances, Geophysics 29 (1964), 197-211

    Google Scholar 

  • Clark, G.P.Y. (1980): Moments of the least squares estimators in a nonlinear regression model, JR. Statist. Soc. B42 (1980), 227-237

    Google Scholar 

  • Clerc-Bèerod, A. and S. Morgenthaler (1997): A close look at the hat matrix, Student 2 (1997), 1-12

    Google Scholar 

  • Cobb, L., Koppstein, P. and N.H. Chen (1983): Estimation and moment recursions relations for multimodal distributions of the exponential family, J. Am. Statist. Ass. 78 (1983), 124-130

    Google Scholar 

  • Cobb, G.W. (1997): Introduction to design and analysis of experiments, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Cochran, W. (1972): Some effects of errors of measurement on linear regression, in: Proceedings of the Sixth Berkeley Symposium on Mathematical Statistics and Probability, 527-539, UCP, Berkeley 1972

    Google Scholar 

  • Cochran, W. (1972): Stichprobenverfahren, de Gruyter, Berlin 1972

    Google Scholar 

  • Cohen, A. (1966): All admissible linear estimates of the mean vector, Ann. Math. Statist. 37 (1966), 458-463

    Google Scholar 

  • Cohen, C. and A. Ben-Israel (1969): On the computation of canonical correlations, Cahiers Centre èEtudes Recherche Opèer 11 (1969), 121-132

    Google Scholar 

  • Cohen J., Kesten M., and Newman C. (eds.) (1985): Random matrices and their applications, Amer. Math. Soc., Providence

    Google Scholar 

  • Collett, D. (1992): Modelling binary data, Chapman and Hall, Boca Raton 1992

    Google Scholar 

  • Collet, D. and T. Lewis (1981): Discriminating between the von Mises and wrapped normal distributions, Austr. J. Statist. 23 (1981), 73-79

    Google Scholar 

  • Colton, D., Coyle, J. and P. Monk (2000): Recent developments in inverse acoustic scattering theory, SIAM Review 42 (2000), 369-414

    Google Scholar 

  • Comte, F. and Rozenholc, Y. (2002): Adaptive estimation of volatility functions in (auto-) regressive models, Stoel cesses and their Applications 97, 111-145, 2002.

    Google Scholar 

  • Cook, R.D., Tsai, C.L. and B.C. Wei (1986): Bias in nonlinear regression, Biometrika 73 (1986), 615-623

    Google Scholar 

  • Cook, R.D. and S. Weisberg (1982): Residuals and influence in regression, Chapman and Hall, London 1982

    Google Scholar 

  • Cook, R.D. and Goldberg, M.L. (1986): Curvatures for parameter subsets in nonlinear regression. Annals of Statistics, 14.

    Google Scholar 

  • Corbeil, R.R. and S.R. Searle (1976): restricted maximum likelihood (REML) estimation of variance components in the mixed model, Technometrics, 18 (1976), pp. 31-38

    Google Scholar 

  • Cottle, R.W. (1974): Manifestations of the Schur complement, Linear Algebra Appl. 8 (1974), 189-211

    Google Scholar 

  • Coulman, C.E. and J. Vernin (1991): Significance of anisotropy and the outer scale of turbulence for optical and radio seeing, Applied Optics 30 (1991) 118-126

    Google Scholar 

  • Cox, L.B. and J.S.Y. Wang (1993): Fractal surfaces: measurement and applications in the earth Sciences. Fractals 1 1 (1993), pp. 87-115

    Google Scholar 

  • Cox, A.J. and N.J. Higham (1999): Row-wise backward stable elimination methods for the equality constrained least squares problem, SIAM J. Matrix Anal. Appl. 21 (1999), 313-326

    Google Scholar 

  • Cox, D., Little, J. and O’Shea, D. (1997): Ideals, Varieties, and Algorithms, An introduction to computational algebraic geometry and commutative algebra, Springer-Verlag, New York 1997.

    Google Scholar 

  • Cox, D., Little, J. and O’Shea, D. (1998): Using algebraic geometry. Graduate Text in Mathematics 185, Springer-Verlag, New York 1998.

    Google Scholar 

  • Cox, D.A. (1998): Introduction to Gröbner bases, Proceedings of Symposia in Applied Mathematics 53} (1998) 1-24.

    Google Scholar 

  • Cox, D.B. Brading, J.D.W. (1999): Integration of LAMBDA ambiguity resolution with Kalman filter for relative navigation of spacecraft. In: Proceedings ION NTM 99, pp 739-745

    Google Scholar 

  • Cox, D.R. and D.V. Hinkley (1979): Theoretical statistics, Chapman and Hall, Boca Raton 1979

    Google Scholar 

  • Cox, D.R. and V. Isham (1980): Point processes, Chapman and Hall, Boca Raton (1980)

    Google Scholar 

  • Cox, D.R. and E.J. Snell (1989): Analysis of binary data, Chapman and Hall, Boca Raton 1989

    Google Scholar 

  • Cox, D.R. and N. Wermuth (1996): Multivariate dependencies, Chapman and Hall, Boca Raton 1996

    Google Scholar 

  • Cox, D.R. and N. Reid (2000): The theory of the design of experiments, Chapman & Hall, Boca Raton 2000

    Google Scholar 

  • Cox, D.R. and P.J. Salomon (2003): Components of variance Chapman and Hall/CRC, Boca Raton London New York Washington DC

    Google Scholar 

  • Cox, R., Litte, J. and D. O’shea (1997) Ideals, variates and algorithms, an introduction

    Google Scholar 

  • Cox, T.F. and Cox, M.A. (1994): Multidimensional scaling, St. Edmundsbury Press, St. Edmunds, Suffolk 1994.

    Google Scholar 

  • Cox, T.F. and M.A.A. Cox (2001): Multidimensional scaling, Chapman and Hall, Boca Raton, Florida 2001;Chapman & Hall/CRC, Boca Raton London New York Washington D.C. 2003

    Google Scholar 

  • Craig, H.V.: a) Bull. Amerie. Soc. 36, 558 (1930J, 37, 731 (1931), 39, 919 (1933); b) Americ. J. Math. 57, 457 (1935), 58, 833 (1936), 59, 764 (1937), 61, 791 (1939J.

    Google Scholar 

  • Craig, A.T. (1943): Note on the independence of certain quadratic forms, The Annals of Mathematical Statistics 14 (1943), 195-197

    Google Scholar 

  • Cressie, N. (1991): Statistics for spatial data. Wiley, New York

    Google Scholar 

  • Croceto, N. (1993): Point projection of topographic surface onto the reference ellipsoid of revolution in geocentric Cartesian coordinates, Survey Review 32} (1993) 233-238.

    Google Scholar 

  • Cross, P.A. and K. Thapa (1979): The optimal design of levelling networks. Surv. Rev. 25, 68-79.

    Google Scholar 

  • Cross, P.A. (1985): The optimal design of levelling networks, Survey Review 25 (1979) 68-79

    Google Scholar 

  • Cross, P.A. (1985): Numerical methods in network design, in: Grafarend, E.W. and F. Sanso (eds.), Optimization and design of geodetic networks, Springer-Verlag, Heidelberg Berlin New York 1985, 429-435

    Google Scholar 

  • Crosilla, F. (1983a): A criterion matrix for a second order design of control networks, Bull. Geod. 57} (1983a) 226-239.

    Google Scholar 

  • Crosilla, F. (1983b): Procrustean transformation as a tool for the construction of a criterion Matrix for control networks, Manuscripta Geodetica 8} (1983b) 343-370.

    Google Scholar 

  • Crosilla, F. and A. Beinat, (2005): A forward scarth method for robust general procrustes analysis, Udine/Italy 2005

    Google Scholar 

  • Crowder, M. (1987): On linear and quadratic estimating function, Biometrika 74 (1987), 591-597

    Google Scholar 

  • Crowder, M.J. and D.J. Hand (1990): Analysis of repeated measures, Chapman and Hall, Boca Raton 1990

    Google Scholar 

  • Crowder, M.J., Kimber, A., Sweeting, T., and R. Smith (1993): Statistical analysis of reliability data, Chapman and Hall, Boca Raton 1993

    Google Scholar 

  • Crowder, J.M., Sweeting, T. and R. Smith (1994): Statistical analysis of reliability data, Chapman and Hall, Boca Raton 1994

    Google Scholar 

  • Csörgö, M. and L. Horvath (1993): Weighted approximations in probability and statistics, J. Wiley, New York 1993

    Google Scholar 

  • Csörgö, S. and L. Viharos (1997): Asymptotic normality of least-squares estimators of tail indices, Bernoulli 3 (1997), 351-370

    Google Scholar 

  • Csörgö, S. and J. Mielniczuk (1999): Random-design regression under long-range dependent errors, Bernoulli 5 (1999), 209-224

    Google Scholar 

  • Cummins, D. and A.C. Webster (1995): Iteratively reweighted partial least-squares: a performance analysis by Monte Carlo simulation, J. Chemometrics 9 (1995), 489-507

    Google Scholar 

  • Cunningham, E. (1910): The principle of relativity in electrodynamics and an extension thereof, Proc. London Math. Soc. 8 (1910), 77-98

    Google Scholar 

  • Czüber, E. (1891): Theorie der Beobachtungsfehler, Leipzig 1891

    Google Scholar 

  • D’Agostino, R. and M.A. Stephens (1986): Goddness-of-fit techniques, Marcel Dekker, New York 1986

    Google Scholar 

  • Daalen, D. van (1986): The Astrometry Satellite Hipparcos. Proc. I. Hotine-Marussi Symp. Math. Geodesy, Rome 1985, Milano 1986, 259-284.

    Google Scholar 

  • Dach, R. (2000): Einfluß von Auflasteffekten auf Präzise GPS-Messungen, DGK, Reihe C, Heft Nr. 519.

    Google Scholar 

  • Dai, L., Nagarajan, N., Hu, G. and Ling, K. (2005): Real-time attitude determination for micro satellites by LAMBDA method combined with Kalman filtering. In: AIAA proceedings 22nd ICSSC, Monterey

    Google Scholar 

  • Daniel, J.W. (1967): The conjugate gradient method for linear and nonlinear operator equations, SIAM J. Numer. Anal. 4 (1967), 10-26

    Google Scholar 

  • Dantzig, G.B. (1940): On the nonexistence of tests of Student’s hypothesis having power functions independent of 2, Ann. Math. Statist. 11 (1949), 186-192

    Google Scholar 

  • Das, I. (1996): Normal-boundary intersection: A new method for generating the Pareto surface in nonlinear multicriteria optimization problems, SIAM J. Optim. 3 (1998), 631ff.

    Google Scholar 

  • Das, R. and B.K. Sinha (1987): Robust optimum invariant unbiased tests for variance components. In Proc. of the Second International Tampere Conference in Statistics. T. Pukkila and S. Puntanen (eds.), University of Tampere/Finland (1987), 317-342

    Google Scholar 

  • Das Gupta, S., Mitra, S.K., Rao, P.S., Ghosh, J.K., Mukhopadhyay, A.C. and Y.R. Sarma (1994): Selected papers of C.R. Rao, Vol. 1, J. Wiley, New York 1994

    Google Scholar 

  • Das Gupta, S., Mitra, S.K., Rao, P.S., Ghosh, J.K., Mukhopadhyay, A.C. and Y.R. Sarma (1994): Selected papers of C.R. Rao, Vol. 2, J. Wiley, New York 1994

    Google Scholar 

  • Davenport, J.H., Siret, Y. and Tournier, E. (1988): Computer algebra. Systems and algorithms for algebraic computation, Academic Press Ltd., St. Edmundsbury, London 1988.

    Google Scholar 

  • David, F.N. (1937): A note on unbiased limits for the correlation coefficient, Biometrika, 29, 157-160

    Google Scholar 

  • David, F.N. (1938): Tables of the Ordinates and Probability Integral o/the Distribution of the Correlation Coefficient in Small Samples, London, Biometrika.

    Google Scholar 

  • David, F.N. (1953): A note on the evaluation of the multivariate normal integral, Biometrika, 40, 458-459

    Google Scholar 

  • David, F.N. (1954): Tables of the ordinates and probability integral of the distribution of the correlation coefficient in small samples, Cambridge University Press, London 1954

    Google Scholar 

  • David, F.N. and N.L. Johnson (1948): The probability integral transformation when parameters are estimated from the sample, Biometrika 35 (1948), 182-190

    Google Scholar 

  • David, H.A. (1957): Some notes on the statistical papers of Friedrich Robert Helmert (1943-1917), Bull. Stat. Soc. NSW 19 (1957), 25-28

    Google Scholar 

  • David, H.A. (1970): Order Statistics, J. Wiley, New York 1970

    Google Scholar 

  • David, H.A., Hartley, H.O. and E.S. Pearson (1954): The distribution of the ratio in a single normal sample, of range to standard deviation, Biometrika 41 (1954), 482-293

    Google Scholar 

  • Davidian, M. and A.R. Gallant (1993): The nonlinear mixed effects model with a smooth random effects density, Biometrika 80 (1993), 475-488

    Google Scholar 

  • Davidian, M., and D.M. Giltinan (1995): Nonlinear models for repeated measurement data, Chapman and Hall, Boca Raton 1995

    Google Scholar 

  • Davis, R.A. (1997): M-estimation for linear regression with infinite variance, Probability and Mathematical Statistics 17 (1997), 1-20

    Google Scholar 

  • Davis, R.A. and W.T.M. Dunsmuir (1997): Least absolute deviation estimation for regression with ARMA errors, J. Theor. Prob. 10 (1997), 481-497

    Google Scholar 

  • Davis, J.H. (2002): Foundations of deterministic and stochastic control, Birkhäuser-Verlag, Basel Boston Berlin 2002

    Google Scholar 

  • Davison, A.C. and D.V. Hinkley (1997): Bootstrap methods and their application, Cambridge University Press, Cambridge 1997

    Google Scholar 

  • Dawe, D.J. (1984): Matrix and finite element displacement analysis of structures, Clarendon Press, Oxford

    Google Scholar 

  • Decreusefond, L. and A.S. Üstünel (1999): Stochastic analysis of the fractional Brownian motion, Potential Anal. 10 (1999), 177-214

    Google Scholar 

  • Dedekind, R. (1901): Gauß in seiner Vorlesung über die Methode der kleinsten Quadrate, Berlin 1901

    Google Scholar 

  • Defant, A. and K. Floret (1993): Tensor norms and operator ideals, North Holland, Amsterdam 1993

    Google Scholar 

  • Deitmar, A. (2002): A first course in harmonic analysis, Springer-Verlag, Heidelberg Berlin New York 2002

    Google Scholar 

  • Demidenko, E. (2000): Is this the least squares estimate?, Biometrika 87 (2000), 437-452

    Google Scholar 

  • Denham, M.C. (1997): Prediction intervals in partial least-squares, J. Chemometrics 11 (1997), 39-52

    Google Scholar 

  • Denham, W. and S. Pines (1966): Sequential estimation when measurement function nonlinearity is comparable to measurement error, AIAA J4 (1966), 1071-1076

    Google Scholar 

  • Denis, J.-B. and A. Pazman (1999): Bias of LS estimators in nonlinear regression models with constraints. Part II: Bi additive models, Applications of Mathematics 44 (1999), 375-403

    Google Scholar 

  • Dermanis, A. (1977): Geodetic linear estimation techniques and the norm choice problem, Manuscripta geodetica 2 (1977), 15-97

    Google Scholar 

  • Dermanis, A. (1978): Adjustment of geodetic observations in the presence of signals, International School of Anvanced Geodesy, Erice, Sicily, May-June 1978, Bollettino di Geodesia e Scienze Affini 38 (1979), 513-539

    Google Scholar 

  • Dermanis, A. (1980): Adjustment of geodetic observations in the presence of signals. In: Proceedings of the international school of advanced geodesy. Bollettino di Geodesia e Scienze Affini. Vol. 38, pp. 419-445

    Google Scholar 

  • Dermanis, A. (1998): Generalized inverses of nonlinear mappings and the nonlinear geodetic datum problem, Journal of Geodesy 72 (1998), 71-100

    Google Scholar 

  • Dermanis, A. and E. Grafarend (1981): Estimability analysis of geodetic, astrometric and geodynamical quantities in Very Long Baseline Interferometry, Geophys. J. R. Astronom. Soc. 64 (1981), 31-56

    Google Scholar 

  • Dermanis, A. and F. Sanso (1995): Nonlinear estimation problems for nonlinear models, manuscripta geodaetica 20 (1995), 110-122

    Google Scholar 

  • Dermanis, A. and R. Rummel (2000): Data analysis methods in geodesy, Lecture Notes in Earth Sciences 95, Springer-Verlag, Heidelberg Berlin New York 2000

    Google Scholar 

  • Dette, H. (1993): A note on E-optimal designs for weighted polynomial regression, Ann. Stat. 21 (1993), 767-771

    Google Scholar 

  • Dette, H. (1997): Designing experiments with respect to ’standardized’ optimality criteria, J. R. Statist. Soc. B59 (1997), 97-110

    Google Scholar 

  • Dette, H. (1997): E-optimal designs for regression models with quantitative factors - a reasonable choice?, The Canadian Journal of Statistics 25 (1997), 531-543

    Google Scholar 

  • Dette, H. and W.J. Studden (1993): Geometry of E-optimality, Ann. Stat. 21 (1993), 416-433

    Google Scholar 

  • Dette, H. and W.J. Studden (1997): The theory of canonical moments with applications in statistics, probability, and analysis, J. Wiley, New York 1997

    Google Scholar 

  • Dette, H. and T.E. O’Brien (1999): Optimality criteria for regression models based on predicted variance, Biometrika 86 (1999), 93-106

    Google Scholar 

  • Deutsch, F. (2001): Best approximation in inner product spaces, Springer-Verlag, Heidelberg Berlin New York 2001

    Google Scholar 

  • Dewess, G. (1973): Zur Anwendung der Schätzmethode MINQUE auf Probleme der Prozeß-Bilanzierung, Math. Operationsforschg. Statistik 4 (1973), 299-313

    Google Scholar 

  • Dey, D. and Ghosh, S. and Mallick, B. (2000): Generalized linear models: A Bayesian perspective. Marcel Dekker, New York

    Google Scholar 

  • DiCiccio, T.J. and B. Efron (1996): Bootstrap confidence intervals, Statistical Science 11 (1996), 189-228

    Google Scholar 

  • Diebolt, J. and J. Züber (1999): Goodness-of-fit tests for nonlinear heteroscedastic regression models, Statistics & Probability Letters 42 (1999), 53-60

    Google Scholar 

  • Dieck, T. (1987): Transformation groups, W de Gruyter, Berlin/New York 1987

    Google Scholar 

  • Diggle, P.J., Liang, K.Y. and S.L. Zeger (1994): Analysis of longitudinal data, Clarendon Press, Oxford 1994

    Google Scholar 

  • Diggle, P., Lophaven S. (2006): Bayesian geostatistical design. Scand. J. Stat. 33:53-64

    Google Scholar 

  • Ding, C.G. (1999): An efficient algorithm for computing quantiles of the noncentral chi-squared distribution, Computational Statistics & Data Analysis 29 (1999), 253-259

    Google Scholar 

  • Dixon, A.L. (1908): The elimination of three quantics in two independent variables, Proc. London Mathematical Society series 2 6} (1908) 468-478.

    Google Scholar 

  • Dixon, G.M. (1994): Division Algebras: Octonions, Quaternions, Complex Numbers and the Algebraic Design of Physics, Kluwer Aca. Publ., Dordrecht-Boston-London 1994

    Google Scholar 

  • Dixon, W.J. (1951): Ratio involving extreme values, Ann. Math. Statistics 22 (1951), 68-78

    Google Scholar 

  • Dobbie, M.J. and Henderson, B.L. and Stevens, D.L. Jr. (2008): Sparse sampling: spatial design for monitoring stream networks. Stat. Surv. 2: 113-153

    Google Scholar 

  • Dobson, A.J. (1990): An introduction to generalized linear models, Chapman and Hall, Boca Raton 1990

    Google Scholar 

  • Dobson, A.J. (2002): An introduction to generalized linear models, 2nd ed., Chapman/Hall/CRC, Boca Raton 2002

    Google Scholar 

  • Dodge, Y. (1987): Statistical data analysis based on the L1-norm and related methods, Elsevier, Amsterdam 1987

    Google Scholar 

  • Dodge, Y. (1997): LAD Regression for Detecting Outliers in Response and Explanatory Variables, J. Multivar. Anal. 61 (1997), 144-158

    Google Scholar 

  • Dodge, Y. and D. Majumdar (1979): An algorithm for finding least square generalized inverses for classification models with arbitrary patterns, J. Statist. Comput. Simul. 9 (1979), 1-17

    Google Scholar 

  • Dodge, Y. and J. Jureckovèa (1997): Adaptive choice of trimming proportion in trimmed least-squares estimation, Statistics & Probability Letters 33 (1997), 167-176

    Google Scholar 

  • Donoho, D.L. and P.J. Hüber (1983): The notion of breakdown point, Festschrift für Erich L. Lehmann, eds. P.J. Bickel, K.A. Doksum and J.L. Hodges, Wadsworth, Belmont, Calif. 157-184, 1983

    Google Scholar 

  • Dorea, C.C.Y. (1997): L1-convergence of a class of algorithms for global optimization, Student 2 (1997)

    Google Scholar 

  • Dorrie, H. (1948): Kubische und biquadratische Gleichungen. Leibniz-Verlag, Miinchen

    Google Scholar 

  • Downs, T.D. and A.L. Gould (1967): Some relationships between the normal and von Mises distributions, Biometrika 54 (1967), 684-687

    Google Scholar 

  • Draper, N.R. and R. Craig van Nostrand (1979): Ridge regression and James-Stein estimation: review and comments, Technometrics 21 (1979), 451-466

    Google Scholar 

  • Draper, N.R. and J.A. John (1981): Influential observations and outliers in regression, Technometrics 23 (1981), 21-26

    Google Scholar 

  • Draper, N.R. and F. Pukelsheim (1996): An overview of design of experiments, Statistical Papers 37 (1996), 1-32

    Google Scholar 

  • Draper, N.R. and F. Pukelsheim (1998): Mixture models based on homogenous polynomials, J. Stat., Planning and Inference, 71 (1998), pp. 303-311

    Google Scholar 

  • Draper, N.R. and F. Pukelsheim (2002): Generalized Ridge Analysis Under Linear Restrictions, With Particular Applications to Mixture Experiments Problems, Technometrics, 44, 250-259.

    Google Scholar 

  • Draper, N.R. and F. Pukelsheim (2003): Canonical reduction of second order fitted models subject to linear restrictions, Statistics and Probability Letters, 63 (2003), pp. 401-410

    Google Scholar 

  • Drauschke, M., Forstner, W. and Brunn, A. (2009): Multidodging: Ein effizienter Algorithmus zur automatischen Verbesserung von digitalisierten Luftbildern. Seyfert, Eckhardt (Hg.): Publikationen der DGPF, Band 18: Zukunft mit Tradition. Jena 2009, S. 61-68.

    Google Scholar 

  • Drauschke, M. and Roscher, R. and Labe, T. and Forstner, W. (2009): Improving Image Segmentation using Multiple View Analysis. Object Extraction for 3D City Models, Road Databases and Traffic Monitoring - Concepts, Algorithms and Evaluatin (CMRT09). 2009, S. 211-216.

    Google Scholar 

  • Driscoll, M.F. (1999): An improved result relating quadratic forms and Chi-Square Distributions, The American Statistician 53 (1999), 273-275

    Google Scholar 

  • Driscoll, M.F. and B. Krasnicka (1995): An accessible proof of Craig’s theorem in the general case, The American Statistician 49 (1995), 59-62

    Google Scholar 

  • Droge, B. (1998): Minimax regret analysis of orthogonal series regression estimation: selection versus shrinkage, Biometrika 85 (1998), 631-643

    Google Scholar 

  • Dryden, I.L. (1998): General registration and shape analysis. STAT 96/03. Stochastic Geometry: Likelihood and Computation, by W.S. Kendell, O. Barndoff-Nielsen and M.N.N. van Lieshout, Chapman and Hall/CRC Press, 333-364, Boca Raton 1998.

    Google Scholar 

  • Drygas, H. (1970): The coordinate-free approach to Gauss-Markov estimation. SpringerVerlag, Berlin-Heidelberg-New York, 1970.

    Google Scholar 

  • Drygas, H. (1972): The estimation of residual variance in regression analysis, Math. Operations Forsch. Atatist., 3 (1972), pp. 373-388

    Google Scholar 

  • Drygas, H. (1975a): Weak and strong consistency of the least squares estimators in regression models. Z. Wahrscheinlichkeitstheor. Verw. Geb. 34 (1975), 119-127.

    Google Scholar 

  • Drygas, H. (1975b): Estimation and prediction for linear models in general spaces, Math. Operationsforsch. Statistik 6 (1975), 301-324

    Google Scholar 

  • Drygas, H. (1977): Best quadratic unbiased estimation in variance-covariance component models, Math. Operationsforsch. Statistik, 8 (1977), pp. 211-231

    Google Scholar 

  • Drygas, H. (1983): Sufficiency and completeness in the general Gauss-Markov model, Sankhya Ser. A45 (1983), 88-98

    Google Scholar 

  • Duan, J.C. (1997): Augmented GARCH (p,q) process and its diffusion limit, J. Econometrics 79 (1997), 97-127

    Google Scholar 

  • Duda, R.O., Hart, P.E. and Stork, D.G. (2000): Pattern classification, 2ed., Wiley, New York, 2000

    Google Scholar 

  • Duncan, W.J. (1944): Some devices for the solution of large sets of simultaneous linear equations, London, Edinburgh and Dublin Philosophical Magazine and Journal of Science (7th series) 35 (1944), 660-670

    Google Scholar 

  • Dunfour, J.M. (1986): Bias of s2 in linear regression with dependent errors, The American Statistician 40 (1986), 284-285

    Google Scholar 

  • Dunnett, C.W. and M. Sobel (1954): A bivariate generalization of Student’s t-distribution, with tables for certain special cases, Biometrika 41 (1954), 153-69

    Google Scholar 

  • Dupuis, D.J., Hamilton, D.C. (2000): Regression residuals and test statistics: Assessing naive outlier deletion. Can. J. Stat. 28, 2 (2000), 259-275

    Google Scholar 

  • Durand, D. and J.A. Greenwood (1957): Random unit vectors II : usefulness of Gram-Charlier and related series in approximating distributions, Ann. Math. Statist. 28 (1957), 978-986

    Google Scholar 

  • Durbin, J. and G.S. Watson (1950): Testing for serial correlation in least squares regression, Biometrika 37 (1950), 409-428

    Google Scholar 

  • Durbin, J. and G.S. Watson (1951): Testing for serial correlation in least squares regression II, Biometrika 38 (1951), 159-177

    Google Scholar 

  • Dvorak, G. and Benveniste, Y. (1992): On transformation strains and uniform fields in multiphase elastic media, Proc. R. Soc. Lond., A437, 291-310

    Google Scholar 

  • Ecker, E. (1977): Ausgleichung nach der Methode der kleinsten Quadrate, Öst. Z. Vermessungswesen 64 (1977), 41-53

    Google Scholar 

  • Eckert, M (1935): Eine neue ächentrene (azimutale) Erdkarte, Petermann’s Mitteilungen 81 (1935), 190-192

    Google Scholar 

  • Eckhart, C. and G. Young (1939): A principal axis transformation for non-Hermitean matrices, Bull. Amer. Math. Soc. 45 (1939), 188-121

    Google Scholar 

  • Eckl, M.C., Snay, R.A., Solder, T., Cline, M.W. and G.L. Mader (2001): Accuracy of GPS-derived positions as a function of interstation distance and observing-session duration, Journal of Geodesy 75 (2001), 633-640

    Google Scholar 

  • Edelman, A. (1989): Eigenvalues and condition numbers of random matrices, PhD dissertation, Massachussetts Institute of Technology 1989

    Google Scholar 

  • Edelman, A. (1998): The geometry of algorithms with orthogonality constraints, SIAM J. Matrix Anal. Appl. 20 (1998), 303-353

    Google Scholar 

  • Edelman, A., Elmroth, E. and B. Kagström (1997): A geometric approach to perturbation theory of matrices and matrix pencils. Part I: Versal deformations, SIAM J. Matrix Anal. Appl. 18 (1997), 653-692

    Google Scholar 

  • Edelman, A., Arias, T.A. and Smith, S.T. (1998): The geometry of algorithms with orthogonality constraints, SIAM J. Matrix Anal. Appl. 20 (1998), 303-353

    Google Scholar 

  • Edgar, G.A. (1998): Integral, probability, and fractal measures, Springer-Verlag, Heidelberg Berlin New York 1998

    Google Scholar 

  • Edgeworth, F.Y. (1883): The law of error, Philosophical Magazine 16 (1883), 300-309

    Google Scholar 

  • Eeg, J. and T. Krarup (1973): Integrated geodesy, Danish Geodetic Institute, Report No. 7, Copenhagen 1973

    Google Scholar 

  • Effros, E.G. (1997): Dimensions and C* algebras, Regional Conference Series in Mathematics 46, Rhode Island 1997

    Google Scholar 

  • Efron, B. and R.J. Tibshirani (1994): An introduction to the bootstrap, Chapman and Hall, Boca Raton 1994

    Google Scholar 

  • Eibassiouni, M.Y. and J. Seely (1980): Optimal tests for certain functions of the parameters in a covariance matrix with linear structure, Sankya 42 (1980), 64-77

    Google Scholar 

  • Eichhorn, A. (2005): Ein Beitrag zur parametrischen Identifikation von dynamischen Strukturmodellen mit Methoden der adaptiven Kalman Filterung, Deutsche Geodätische Kommission, Bayerische Akademic der Wissenschaften, Reihe C 585, München 2005

    Google Scholar 

  • Einstein, A. (1905): Ueber die von der molekularkinetische Theorie der Waerme geforderte Berechnung von in Fluessigkeiten suspendierten Teilchen, Ann. Phys. 17 (1905) 549-560

    Google Scholar 

  • Ekblom, S. and S. Henriksson (1969): Lp-criteria for the estimation of location parameters, SIAM J. Appl. Math. 17 (1969), 1130-1141

    Google Scholar 

  • Elden, L. (1977): Algorithms for the regularization of ill-conditioned least squares problems, 17 (1977), 134-145

    Google Scholar 

  • Elhay, S., Golub, G.H. and J. Kautsky (1991): Updating and downdating of orthogonal polynomials with data fitting applications, SIAM J. Matrix Anal. Appl. 12 (1991), 327-353

    Google Scholar 

  • Elian, S.N. (2000): Simple forms of the best linear unbiased predictor in the general linear regression model, American Statistician 54 (2000), 25-28

    Google Scholar 

  • Ellis, R.L. and I. Gohberg (2003): Orthogonal systems and convolution operators, Birkhäuser-Verlag, Basel Boston Berlin 2003

    Google Scholar 

  • Ellis, S.P. (1998): Instability of least squares, least absolute correlation and least median of squared linear regression, Stst. Sci., 13 (1998), pp. 337-350

    Google Scholar 

  • Ellis, S.P. (2000): Singularity and outliers in linear regression with application to least squares, least absolute deviation, and least median of squares linear regression. Metron 58, 1-2 (2000), 121-129.

    Google Scholar 

  • Ellenberg, J.H. (1973): The joint distribution of the standardized least squares residuals from a general linear regression, J. Am. Statist. Ass. 68 (1973), 941-943

    Google Scholar 

  • Elpelt, B. (1989): On linear statistical models of commutative quadratic type, Commun. Statist.-Theory Method 18 (1989), 3407-3450

    Google Scholar 

  • El-Basssiouni, M.Y. and Seely, J. (1980): Optimal tests for certain functions of the parameters in a covariance matrix with linear structure, Sankya A42 (1980), 64-77

    Google Scholar 

  • Elfving, G. (1952): Optimum allocation in linear regression theory, Ann. Math. Stat. 23 (1952), 255-263

    Google Scholar 

  • El-Sayed, S.M. (1996): The sampling distribution of ridge parameter estimator, Egyptian Statistical Journal, ISSR - Cairo University 40 (1996), 211-219

    Google Scholar 

  • Embree, P.J., Burg, P. and Backus, M.M. (1963): Wide band velocity filtering - the pie slid process, Geophysics 28 (1963), 948-974

    Google Scholar 

  • Engeln-Mullges, G. and Reutter, F. (1990): Formelsammlung zur numerischen Mathematik mit C-Programmen. Bibliographisches Institut Mannheim & F. A. Brockhaus AG

    Google Scholar 

  • Engl, H.W., Hanke, M. and A. Neubauer (1996): Regularization of inverse problems, Kluwer Academic Publishers, Dordrecht 1996

    Google Scholar 

  • Engl, H.W., A.K. Louis, and W. Rundell (1997): Inverse problems in geophysical applications, SIAM, Philadelphia 1997

    Google Scholar 

  • Engler, K., Grafarend, E.W., Teunissen, P. and J. Zaiser (1982): Test computations of three-dimensional geodetic networks with observables in geometry and gravity space, Proceedings of the International Symposium on Geodetic Networks and Computations. Vol. VII, 119-141 Report B258/VII. Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, München 1982.

    Google Scholar 

  • Eringen, A.C. (1962): Non linear theory of continuous media, McGraw Hill Book Comp., New York

    Google Scholar 

  • Ernst, M.D. (1998): A multivariate generalized Laplace distribution, Computational Statistics 13 (1998), 227-232

    Google Scholar 

  • Eshagh, M. and Sjöberg (2008): The modified best quadratic unbiased non-negative estimator (MBQUNE) of variance components. Stud. Geophysics Geod. 52 (2008) 305-320

    Google Scholar 

  • Ethro, U. (1991): Statistical Test of Significance for Testing Outlying Observations. Survey Review. 31:62-70.

    Google Scholar 

  • Euler, N. and W.H. Steeb (1992): Continuous symmetry, Lie algebras and differential equations, B.I. Wissenschaftsverlag, Mannheim 1992

    Google Scholar 

  • Even Tzur, G. (2004): Variance Factor Estimation for Two-Step Analysis of Deformation Networks. Journal of surveying engineering. Journal of Surveying Engineering, 130(3): 113-118.

    Google Scholar 

  • Even Tzur, G. (2006): Datuln Definition and its Influence on the Reliability of Geodetic Networks. ZN, 131: 87-95.

    Google Scholar 

  • Even Tzur, G. (2009): Two-Steps Analysis of Movement of the Kfar-Hanassi Network. FIG Working week 2009, Eilat, Israel.

    Google Scholar 

  • Everitt, B.S. (1987): Introduction to optimization methods and their application in statistics, Chapman and Hall, London 1987

    Google Scholar 

  • Fahrmeir, L. and G. Tutz (2001): Multivariate statistical modelling based on generalized linear models, Springer-Verlag, Heidelberg Berlin New York 2001

    Google Scholar 

  • Fakeev, A.G. (1981): A class of iterative processes for solving degenerate systems of linear algebraic equations, USSR. Comp. Maths. Math. Phys. 21 (1981), 15-22

    Google Scholar 

  • Falk, M., Hüsler, J. and R.D. Reiss (1994): Law of small numbers, extremes and rare events, Birkhäuser-Verlag, Basel Boston Berlin 1994

    Google Scholar 

  • Fan, J. and I. Gijbels (1996): Local polynomial modelling and its applications, Chapman and Hall, Boca Raton 1996

    Google Scholar 

  • Fang, K.-T. and Y. Wang (1993): Number-theoretic methods in statistics, Chapman and Hall, Boca Raton 1993

    Google Scholar 

  • Fang, K.-T. and Y.-T. Zhang (1990): Generalized multivariate analysis, Science Press Beijing, Springer Verlag, Bejing, Berlin New York 1990

    Google Scholar 

  • Fang, K.-T., Kotz, S. and K.W. Ng (1990): Symmetric multivariate and related distributions, Chapman and Hall, London 1990

    Google Scholar 

  • Farahmand, K. (1996): Random polynomials with complex coefficients, Statistics & Probability Letters 27 (1996), 347-355

    Google Scholar 

  • Farahmand, K. (1999): On random algebraic polynomials, Proceedings of the American Math. Soc. 127 (1999), 3339-3344

    Google Scholar 

  • Faraway, J. (2006). Extending the linear model with R. Chapman and Hall, CRE.

    Google Scholar 

  • Farebrother, R.W. (1988): Linear least squares computations, Dekker, New York 1988

    Google Scholar 

  • Farebrother, R.W. (1999): Fitting linear relationships, Springer-Verlag, Heidelberg Berlin New York 1999

    Google Scholar 

  • Farrel, R.H. (1964): Estimators of a location parameter in the absolutely continuous case, Ann. Math. Statist. 35 (1964), 949-998

    Google Scholar 

  • Fasséo, A. (1997): On a rank test for autoregressive conditional heteroscedasticity, Student 2 (1997), 85-94

    Google Scholar 

  • Faulkenberry, G.D. (1973): A method of obtaining prediction intervals, J. Am. Statist. Ass. 68 (1973), 433-435

    Google Scholar 

  • Fausett, D.W. and C.T. Fulton (1994): Large least squares problems involving Kronecker products, SIAM J. Matrix Anal. Appl. 15 (1994), 219-227

    Google Scholar 

  • Fazekas, I. and Kukush, A. S. Zwanzig (2004): Correction of nonlinear orthogonal regression estimator. Ukr. Math. J. 56, 1101-1118

    Google Scholar 

  • Fedorov, V.V. (1972): Theory of Optimal Experiments. Academic Press

    Google Scholar 

  • Fedorov, V.V. and Hackl, P. (1994): Optimal experimental design: spatial sampling. Calcutta Stat Assoc Bull 44:173-194

    Google Scholar 

  • Federov, V.V. and Müller, W.G. (1988): Two approaches in optimization of observing networks, in Optimal Design and Analysis of Experiments, Y. Dodge, V.V. Federov & H.P. Wynn, eds, North-Holland, Amsterdam, pp. 239-256

    Google Scholar 

  • Fedorov, V.V. and Flagnagan, D. (1997): Optimal monitoring on Merer‘s expansion of covariance kernel, J. Comb. Inf. Syst. Sci. 23(1997) 237-250

    Google Scholar 

  • Fedorov, V.V. and P. Hackl (1997): Model-oriented design of experiments, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Fedorov, V.V., Montepiedra, G. and C.J. Nachtsheim (1999): Design of experiments for locally weighted regression, J. Statist. Planning and Inference 81 (1999), 363-382

    Google Scholar 

  • Fedorov, V.V. and Müller, W.C. (2007): Optimum desighn of correlated fields via covariance kernel expansion, in: Lopez Fidalgo, Rodriguez, J. and Forney, B. (eds) Physica Verlag Heidelberg

    Google Scholar 

  • Feinstein, A.R. (1996): Multivariate analysis, Yale University Press, New Haven 1996

    Google Scholar 

  • Feldmann, R.V. (1962): Matrix theory I: Arthur Cayley - founder of matrix theory, Mathematics teacher, 57, (1962), pp. 482-484

    Google Scholar 

  • Felus, Y.A. and R.C. Burtch (2005): A new procrustes algorithm for three dimensional datum conversion, Ferris State University 2005

    Google Scholar 

  • Fengler, M., Freeden, W. and V. Michel (2003): The Kaiserslautern multiscale geopotential model SWITCH-03 from orbit pertubations of the satellite CHAMP and its comparison to the models EGM96, UCPH2002-02-0.5, EIGEN-1s, and EIGEN-2, Geophysical Journal International (submitted) 2003

    Google Scholar 

  • Fenyo, S. and H.W. Stolle (1984): Theorie und Praxis der linearen Integralgleichungen 4. Berlin

    Google Scholar 

  • Feuerverger, A. and P. Hall (1998): On statistical inference based on record values, Extremes 1:2 (1998), 169-190

    Google Scholar 

  • Fiebig, D.G., Bartels, R. and W.Krämer (1996): The Frisch-Waugh theorem and generalized least squares, Econometric Reviews 15 (1996), 431-443

    Google Scholar 

  • Fierro, R.D. (1996): Pertubation analysis for twp-sided (or complete) orthogonal decompositions, SIAM J. Matrix Anal. Appl. 17 (1996), 383-400

    Google Scholar 

  • Fierro, R.D. and J.R. Bunch (1995): Bounding the subspaces from rank revealing two-sided orthogonal decompositions, SIAM J. Matrix Anal. Appl. 16 (1995), 743-759

    Google Scholar 

  • Fierro, R.D. and P.C. Hansen (1995): Accuracy of TSVD solutions computed from rank-revealing decompositions, Numer. Math. 70 (1995), 453-471

    Google Scholar 

  • Fierro, R.D. and P.C. Hansen (1997): Low-rank revealing UTV decompositions, Numer. Algorithms 15 (1997), 37-55

    Google Scholar 

  • Fill, J.A. and D.E. Fishkind (1999): The Moore-Penrose generalized inverse for sums of matrices, SIAM J. Matrix Anal. Appl. 21 (1999), 629-635

    Google Scholar 

  • Finsterwalder, S. and Scheufele, W. (1937): Das Rückwartseinschneiden im Raum, Sebastian Finsterwalder zum 75 Geburtstage, pp. 86-100, Verlag Hebert Wichmann, Berlin 1937.

    Google Scholar 

  • Fischer, F.A. (1969): Einfuhrung in die Statische Übertragungstheorie, Bib. Institute, Maurheim, Zurigh 1969

    Google Scholar 

  • Fischler, M.A. and Bolles, R.C. (1981): Random Sample Consensus: A Paradigm for Medell Fitting with Application to Image Analysis and Automated Cartography, Communications of the ACM 24} (1981) 381-395

    Google Scholar 

  • Fiserova, E. (2004): Estimation in universal models with restrictions. Discuss. Math., Probab. Stat. 24, 2 (2004), 233-253.

    Google Scholar 

  • Fiserova, E. (2006): Testing hypotheses in universal models. Discuss. Math., Probab. Stat. 26 (2006), 127-149

    Google Scholar 

  • Fiserova, E. and Kubacek, L. (2003) Sensitivity analysis in singular mixed linear models with constraints. Kybernetika 39, 3 (2003), 317-332

    Google Scholar 

  • Fiserova, E. and Kubacek, L. (2004): Statistical problems of measurement in triangle. Folia Fac. Sci. Nat. Univ. Masarykianae Brunensis, Math. 15 (2004), 77-94

    Google Scholar 

  • Fiserova, E. and Kubacek, L. (2003): Insensitivity regions and outliers in mixed models with constraints. Austrian Journal of Statistic 35, 2-3 (2003), 245-252

    Google Scholar 

  • Fisher, N.I. (1993): Statistical Analysis of Circular Data, Cambridge University Press, Cambridge 1993

    Google Scholar 

  • Fisher, N.I. and Hall, P. (1989): Bootstrap confidence regions for directional data, J. Am. Statist. Ass. 84 (1989), 996-1002

    Google Scholar 

  • Fisher, N.J. (1985): Spherical medians, J. Roy. Statist. Soc. B47 (1985), 342-348

    Google Scholar 

  • Fisher, N.J. and A.J. Lee (1983): A correlation coefficient for circular data, Biometrika 70 (1983), 327-332

    Google Scholar 

  • Fisher, N.J. and A.J. Lee (1986): Correlation coefficients for random variables on a sphere or hypersphere, Biometrika 73 (1986), 159-164

    Google Scholar 

  • Fisher, R.A. (1915): Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population, Biometrika 10 (1915), 507-521

    Google Scholar 

  • Fisher, R.A. (1935): The fiducial argument in statistical inference, Annals of Eugenics 6 (1935), 391-398

    Google Scholar 

  • Fisher, R.A. (1939): The sampling distribution of some statistics obtained from nonlinear equations, Ann. Eugen. 9 (1939), 238-249

    Google Scholar 

  • Fisher, R.A. (1953): Dispersion on a sphere, Pro. Roy. Soc. Lond. A217 (1953), 295-305

    Google Scholar 

  • Fisher, R.A. (1956): Statistical Methods and Scientific Inference, Edinburg: Oliver and Boyd, 1956

    Google Scholar 

  • Fisher, R.A. and F. Yates (1942): Statistical tables for biological, agricultural and medical research, 2nd edition, Oliver and Boyd, Edinburgh 1942

    Google Scholar 

  • Fisz, M. (1971): Wahrscheinlichkeitsrechnung und mathematische Statistik, Berlin (Ost) 1971

    Google Scholar 

  • Fitzgerald, W.J., Smith, R.L., Walden, A.T. and P.C. Young (2001): Non-linear and nonstationary signal processing, Cambridge University Press, Cambridge 2001

    Google Scholar 

  • Fitzgibbon, A., Pilu, M. and Fisher, R.B. (1999): Direct least squares fitting of ellipses, IEEE Transactions on Pattern Analysis and Machine Intelligence 21} (1999) 476-480.

    Google Scholar 

  • Fletcher, R. and C.M. Reeves (1964): Function minimization by conjugate gradients, Comput. J. 7 (1964) 149-154

    Google Scholar 

  • Fletcher, R. (1987): Practical Methods of Optimization. Second Edition, John Wiley & Sons, Chicester.

    Google Scholar 

  • Fletling, R. (2007): Fuzzy clusterung zur Analyse von Überwachungsmessungen, in: F.K. Brunner (ed.) Ingenienr vermessung, pp. 311-316, Wichmann Verlag, Heidelberg 2007

    Google Scholar 

  • Flury, B. (1997): A first course in multivariate statistics, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Focke, J. and G. Dewess (1972): Über die Schätzmethode MINQUE von C.R. Rao und ihre Verallgemeinerung, Math. Operationsforschg. Statistik 3 (1972), 129-143

    Google Scholar 

  • Förstner, W. (1976): Statistical Test Methods for Blunder Detection in Planimetric Block Triangulation. Presented paper to Comm. III, ISP Helsinki 1976

    Google Scholar 

  • Förstner, W. (1978a): PrOfung auf grobe Bildkoordinatenfehler bei der relativen Orientierung? BuL, 1978, 205-212

    Google Scholar 

  • Förstner, W. (1978b): Die Suche nach groben Fehlern in photogrammetrischen Lageblocken, Dissertation der Universitat Stuttgart.

    Google Scholar 

  • Förstner, W. (1979a): Ein Verfahren zur Schatzung von Varianz- und Kovarianzkomponenten, Ally. Vermess. Nachrichten 86 (1979), pp. 446-453

    Google Scholar 

  • Förstner, W. (1979b): On Internal and External Reliability of Photogrammetric Coordinates. Proceedings of the Annual Convention of the ASP-ACSM, Washington 1979

    Google Scholar 

  • Förstner, W. (1979c): Konvergenzbeschleunigung bei der a posteriori Varianzschätzung, Zeitschrift für Vermessungswesen 104 (1979), 149-156

    Google Scholar 

  • Förstner, W. (1979d): Ein Verfahren zur Schätzung von Varianz- und Kovarianz-Komponenten, Allgemeine Vermessungsnachrichten 86 (1979), 446-453

    Google Scholar 

  • Förstner, W. (1980a): The Theoretical Reliability of Photogrammetric Coordinates. Archives of the ISPRS. XIV Congress of the Int. Society for Photogrammetry Comm. 111, Hamburg, 1980

    Google Scholar 

  • Förstner, W. (1980b): Zur PrOfung zusatzlicher Parameter in Ausgleichungen. ZN, 1980, 105, 510-519

    Google Scholar 

  • Förstner, W. (1983): Reliability and Discernability of Extended Gauss-Markov Models. Ackermann, F. (ed.) Deutsche Geodätische Kommission, A98, 1983, 79-103

    Google Scholar 

  • Förstner, W. (1985): Determination of the Additive Noise Variance in Observed Autoregressive Processes using Variance Component Estimation Technique. Statistics and Decision, Supplement Issue No. 2. München 1985, S. 263-274.

    Google Scholar 

  • Förstner, W. (1987): Reliability Analysis of Parameter Estimation in Linear Models with Applications to Mensuration Problems in Computer Vision. CVGIP - Computer Vision, Graphics, and Image Processing. 1987, S. 273-310.

    Google Scholar 

  • Förstner, W. (1990): Modelle intelligenter Bildsensoren und ihre Qualität. Grol1 Kopf, R.E. (ed.) Springer, 1990, 254, 1-21

    Google Scholar 

  • Förstner, W. (1993a): Image Matching. In: Haralick, R.M. I Shapiro, L.G. (Hg.): Computer and -RObot Vision. Addison-Wesley, S. 289-379

    Google Scholar 

  • Förstner, W. (1993c): Uncertain Spatial Relationships and their Use for Object location in Digital/mages. Forstner, W.; Haralick, R.M. Radig, B. (ed.)lnstitut für Photogrammetrie, Universitat Bonn, 1992 (Buchbeitrag)

    Google Scholar 

  • Förstner, W. (1994a): Diagnostics and Performance Evaluation in Computer Vision. Performance versus Methodology in Computer Vision, NSF/ARPA Workshop. Seattle 1994, S. 11-25.

    Google Scholar 

  • Förstner, W. (1994b): Generic Estimation Procedures for Orientation with Minimum and Redundant Information Technical Report. Institute for Photogrammetry, University Bonn.

    Google Scholar 

  • Förstner, W. (1995a): A 2D-data Model for Representing Buildings. Technical Report, Institut für Photogrammetrie, Universitat Bonn

    Google Scholar 

  • Förstner, W. (1995b): The Role of Robustness in Computer Vision. Proc. Workshop “Milestones in CCfmi5uier Vision”. Vorau 1995.

    Google Scholar 

  • Förstner, W. (1997a):Evaluation of Restoration Filters. Technical Report, Institut für Photogrammetrie, Universitat Bonn

    Google Scholar 

  • Förstner, W. (1997b): Parameter free information Preserving filter and Noise Variance Equalization, Technical Report, Institut für Photogrammetrie, Universitat Bonn

    Google Scholar 

  • Förstner, W. (1998): On the Theoretical Accuracy of Multi Image Matching, Restoration and Triangulation. Festschrift zum 65. Geburtstag von Prof. Dr.-Ing. mult. G. Konecny. Institut für Photogrammetrie, Universitat Hannover 1998

    Google Scholar 

  • Förstner, W. (1999a): On Estimating Rotations. Heipke, C. / Mayer, H. (Hg.): Festschrift für Prof. Dr.-Ing. Heinrich Ebner zum 60. Geburtstag. Lehrstuhl für Photogrammetrie und Fernerkundung, TU München 1999.

    Google Scholar 

  • Förstner, W. (1999b): Uncertain Neighborhood Relations of Point Sets and Fuzzy Delaunay Triangulation. Proceedings of DAGM Symposium Mustererkennung. Bonn, Germany 1999.

    Google Scholar 

  • Förstner, W. (1999c): Choosing Constraints for Points and Lines in Image Triplets 1999. Technical Report, Institut für Photogrammetrie, University Bonn.

    Google Scholar 

  • Förstner, W. (1999d): Interior Orientation from Three Vanishing Points, Technical Report, Institut für Photogrammetrie, Universitat Bonn

    Google Scholar 

  • Förstner, W. (1999e): Tensor-based Distance Transform. Technical Report, Institut für Photogrammetrie, Universitat Bonn.

    Google Scholar 

  • Förstner, W. (2000): Optimally Reconstructing the Geometry of Image Triplets. Vernon, David (Hg.): Appeared in: Computer Vision - ECCV 2000. 2000, S. 669-684.

    Google Scholar 

  • Förstner, W. (2001a): Algebraic Projective Geometry and Direct Optimal Estimation of Geometric Entities. Appeared at the Annual OeAGM 2001 Workshop.

    Google Scholar 

  • Förstner, W. (2001b): Direct optimal estimation of geometric entities using algebraic projective geometry. Festschrift anlasslich des 60. Geburtstages von Prof. Dr.-Ing. Bernhard Wrobel. Technische Universitat Darmstadt 2001, S. 69-87.

    Google Scholar 

  • Förstner, W. (2002): Computer Vision and Photogrammetry – Mutual Questions: Geometry, Statistics and Cognition. Bildteknik/lmage Science, Swedish Society for Photogrammetry and Remote Sensing. 2002, S. 151-164.

    Google Scholar 

  • Förstner, W. (2003): Notions of Scale in Geosciences. Neugebauer, Horst J. I Simmer, Clemens (Hg.): Dynamics of Multi-Scale Earth Systems. 2003, S. 17-39.

    Google Scholar 

  • Förstner, W. (2005): Uncertainty and Projective Geometry. Bayro Corrochano, Eduardo (Hg.): Handbook of Geometric Computing. 2005, S. 493-535.

    Google Scholar 

  • Förstner, W. (2009): Computer Vision and Remote Sensing - Lessons Learned. Fritsch, Dieter (Hg.): Photogrammetric Week 2009. Heidelberg 2009, S. 241-249.

    Google Scholar 

  • Förstner, W. and Schroth, R. (1981): On the estimation of covariance matrices for photogrammetric image coordinates. VI: Adjustment procedures of geodetic networks, 43-70.

    Google Scholar 

  • Förstner, W. and Wrobel, B. (1986): Digitale Photogrammetrie, Springer (Buch)

    Google Scholar 

  • Förstner, W. and Gulch, E. (1987): A Fast Operator for Detection and Precise Location of Distinct Points, Corners and Centres of Circular Features. Proceedings of the ISPRS Intercommission Workshop, 1987. Jg. 1987.

    Google Scholar 

  • Förstner, W. and Vosselmann, G. (1988): The Precision of a Digital Camera. ISPRS 16th Congress. Kyoto 1988, S. 148-157.

    Google Scholar 

  • Förstner, W. and Braun, C. (1993): Direkte Schatzung von Richtungen und Rotationen. Institut für Photogrammetrie, Bonn

    Google Scholar 

  • Förstner, W. and Shao, J. (1994): Gabor Wavelets for Texture Edge Extraction. ISPRS Commission III Symposium on Spatial Information from Digital Photogrammetry and Computer Vision. Munich, Germany

    Google Scholar 

  • Förstner, W. and Brugelmann, R. (1994): ENOVA - Estimation of Signal Dependent Noise Variance. 3rd ECCV, Stockholm

    Google Scholar 

  • Förstner, W. and Moonen, B. (1999): A Metric for Covariance Matrices. Krumm, F. Schwarze, V.S. (Hg.): Quo vadis geodesia …?, Festschrift for Erik W. Grafarend on the occasion of his 60th birthday. TR Dept. of Geodesy and Geoinformatics, Stuttgart University 1999.

    Google Scholar 

  • Förstner, W. and B. Moonen (2003): A metric for covariance matrices, in: E. Grafarend, F. Krumm and V. Schwarze: Geodesy - the Challenge of the 3rd Millenium, 299-309, Springer-Verlag, Heidelberg Berlin New York 2003

    Google Scholar 

  • Förstner, W. and Dickscheid, T. and Schindler, F. (2009): Detecting Interpretable and Accurate Scale-Invariant Keypoint. 12th IEEE International Conference on Computer Vision (ICCV’09). Kyoto, Japan 2009, S. 2256-2263.

    Google Scholar 

  • Forsgren, A. and W. Murray (1997): Newton methods for large-scale linear inequality-constrained minimization, Siam J. Optim. to appear

    Google Scholar 

  • Forsythe, A.R. (1960): Calculus of Variations. New York

    Google Scholar 

  • Forsythe, A.B. (1972): Robust estimation of straight line regression coefficients by minimizing p-th power deviations, Technometrics 14 (1972), 159-166

    Google Scholar 

  • Foster, L.V. (2003): Solving rank-deficient and ill-posed problems using UTV and QR factorizations, SIAM J. Matrix Anal. Appl. 25 (2003), 582-600

    Google Scholar 

  • Fotiou, A. and D. Rossikopoulos (1993): Adjustment, variance component estimation and testing with the affine and similarity transformations, Zeitschrift für Vermessungswesen 118 (1993), 494-503

    Google Scholar 

  • Fotiou, A.(1998): A pair of closed expressions to transform geocentric to geodetic coordinates, Zeitschrift für Vermessungswesen 123} (1998) 133-135.

    Google Scholar 

  • Fotopoulos, G. (2003): An Analysis on the Optimal Combination of Geoid, Orthometric and Ellipsoidal Height Data. Report No. 20185, Department of Geomatics Engineering, University of Calgary, Calgary, Canada.

    Google Scholar 

  • Fotopoulos, G., (2005): Calibration of geoid error models via a combined adjustment of ellipsoidal, orthometric and gravimetrical geoid height data. 1. Geodesy, 79, 111-123.

    Google Scholar 

  • Forstner, W., (1979): Ein Verfahren zur Achatzung von varianz und kovarianzkomponenten. Allgemeine Vermessungs-Nachrichten, 86, 446-453.

    Google Scholar 

  • Foucart, T. (1999): Stability of the inverse correlation matrix. Partial ridge regression, J. Statist. Planning and Inference 77 (1999), 141-154

    Google Scholar 

  • Fox, A.J. (1972): Outliers in time series. J. Royal Stat. Soc., Series B, 43, (1972), 350-363

    Google Scholar 

  • Fox, M. and H. Rubin (1964): Admissibility of quantile estimates of a single location parameter, Ann. Math. Statist. 35 (1964), 1019-1031

    Google Scholar 

  • Franses, P.H. (1998): Time series models for business and economic forecasting, Cambridge University Press, Cambridge 1998

    Google Scholar 

  • Fraser, D.A.S. (1963): On sufficiency and the exponential family, J. Roy. Statist. Soc. 25 (1963), 115-123

    Google Scholar 

  • Fraser, D.A.S. (1968): The structure of inference, J. Wiley, New York 1968

    Google Scholar 

  • Fraser, D.A.S. and I. Guttman (1963): Tolerance regions, Ann. Math. Statist. 27 (1957), 162-179

    Google Scholar 

  • Freeman, R.A. and P.V. Kokotovic (1996): Robust nonlinear control design, Birkhäuser-Verlag, Basel Boston Berlin 1996

    Google Scholar 

  • Freund, P.G.O. (1974): Local scale invariance and gravitation, Annals of Physics 84 (1974), 440-454

    Google Scholar 

  • Frey, M. and J.C. Kern (1997): The Pitman Closeness of a Class of Scaled Estimators, The American Statistician, May 1997, Vol. 51 (1997), 151-154

    Google Scholar 

  • Frisch, U. (1995): Turbulence, the legacy of A.N. Kolmogorov, Cambridge University Press, Cambridge 1995

    Google Scholar 

  • Fristedt, B. and L. Gray (1995): A modern approach to probability theory, Birkhäuser-Verlag, Basel Boston Berlin 1997

    Google Scholar 

  • Frobenius, F.G. (1893): Gedächtnisrede auf Leopold Kronecker (1893), Ferdinand Georg Frobenius, Gesammelte Abhandlungen, ed. J.S. Serre, Band III, 705-724, Springer-Verlag, Heidelberg Berlin New York 1968

    Google Scholar 

  • Frobenius, G. (1908): Über Matrizen aus positiven Elementen, Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften von Berlin, 471-476, Berlin 1908

    Google Scholar 

  • Fröhlich, H. and Hansen, H.H. (1976): Zur Lotfußpunktrechnung bei rotationsellipsoidischer Bezugsfläche, Allgemeine Vermessungs-Nachrichten 83} (1976) 175-179.

    Google Scholar 

  • Fuentes, M. (2002): lnterpolation of non stationary air pollution processes: a spatial spectral approach. In statistical Modeling, vol. 2, pp. 281-298.

    Google Scholar 

  • Fuentes, M. and Smith, R. (2001): A new class of non stationary models. In Tech. report at North Carolina State University, Institute of Statistics

    Google Scholar 

  • Fuentes, M., Chaudhuri, A. and Holland, D.M. (2007): Bayesian entropy for spatial sampling design of environmental data. J. Environ. Ecol. Stat. 14:323-340

    Google Scholar 

  • Fujikoshi, Y. (1980): Asymptotic expansions for the distributions of sample roots under non-normality, Biometrika 67 (1980), 45-51

    Google Scholar 

  • Fukushima, T. (1999): Fast transform from geocentric to geodetic coordinates, Journal of Geodesy 73} (1999) 603-610.

    Google Scholar 

  • Fuller, W.A. (1987): Measurement error models, Wiley, New York 1987

    Google Scholar 

  • Fulton, T., Rohrlich, F. and L. Witten (1962): Conformal invariance in physics, Reviews of Modern Physics 34 (1962), 442-457

    Google Scholar 

  • Furno, M. (1997): A robust heteroskedasticity consistent covariance matrix estimator, Statistics 30 (1997), 201-219

    Google Scholar 

  • Galil, Z. (1985): Computing d-optimum weighing designs: Where statistics, combinatorics, and computation meet, in: Proceedings of the Berkeley Conference in Honor of Jerzy Neyman and Jack Kiefer, Vol. II, eds. L.M. LeCam and R.A. Olshen, Wadsworth 1985

    Google Scholar 

  • Gallant, A.R. (1987): Nonlinear statistical models, J. Wiley, New York 1987

    Google Scholar 

  • Gallavotti, G. (1999): Statistical mechanics: A short treatise, Springer-Verlag, Heidelberg Berlin New York 1999

    Google Scholar 

  • Gander, W. (1981): Least squares with a quadratic constraint, Numer. Math. 36 (1981), 291-307

    Google Scholar 

  • Gander, W., Golub, G.H. and Strebel, R. (1994): Least-Squares fitting of circles and ellipses, BIT No. 43 (1994) 558-578.

    Google Scholar 

  • Gandin, L.S. (1963): Objective analysis of meteorological fields. Gidrometeorologicheskoe Izdatel’stvo (GIMIZ), Leningrad

    Google Scholar 

  • Gao, X.S. and Chou, S.C. (1990): Implicitization of rational parametric equations. Technical report, Department of Computer Science TR-90-34, University of Texas, Austin 1990.

    Google Scholar 

  • Gao, S. and T.M.F. Smith (1995): On the nonexistence of a global nonengative minimum bias invariant quadratic estimator of variance components, Statistics and Probability letters 25 (1995), 117-120

    Google Scholar 

  • Gao, S. and T.M.F. Smith (1998): A constrained MINQU estimator of correlated response variance from unbalanced dara in complex surveys, Statistica Sinica 8 (1998), 1175-1188

    Google Scholar 

  • Gao, Y., Lahaye, F., Heroux, P., Liao, X., Beck, N. and M. Olynik (2001): Modeling and estimation of C1-P1 bias in GPS receivers, Journal of Geodesy 74 (2001), 621-626

    Google Scholar 

  • Garcèìa-Escudero, L.A., Gordaliza, A. and C. Matrèan (1997): k-medians and trimmed k-medians, Student 2 (1997), 139-148

    Google Scholar 

  • Garcia-Ligero, M.J., Hermoso, A. and J. Linares (1998): Least squared estimation for distributed parameter systems with uncertain observations: Part 1: Linear prediction and filtering, Applied Stochastic Models and Data Analysis 14 (1998), 11-18

    Google Scholar 

  • Garderen K.J. van, (1999): Exact geometry of autoregressive models, Journal of Time Series Analysis 20 (1999), 1-21

    Google Scholar 

  • Gaspari, G. and Cohn, S.E. (1999): Construction of correlation I in two and three dimensions, Q. 1. R. Meteorol. Soc., 757, 1999.

    Google Scholar 

  • Gastwirth, J.L. and H. Rubin (1975): The behaviour of robust estimators on dependent data, Ann. Stat., 3 (1975), pp. 1070-1100

    Google Scholar 

  • Gatti, M. (2004): An empirical method of estimation of the variance-covariance matrix in GPS network design, Survey Review 37, (2004), pp. 531-541

    Google Scholar 

  • Gauss, C.F. (1809): Theoria Motus, Corporum Coelesium, Lib. 2, Sec. III, Perthes u. Besser Publ., 205-224, Hamburg 1809

    Google Scholar 

  • Gauss, C.F. (1816): Bestimmung der Genauigkeit der Beobachtungen, Z. Astronomi 1 (1816), 185-197

    Google Scholar 

  • Gauss, C.F. (1923): Anwendung der Wahrscheinlichkeitsrechnung auf eine Aufgabe der praktischen Geometrie, Gauss Works IV: 1923

    Google Scholar 

  • Gautschi, W. (1982): On generating orthogonal polynomials, SIAM Journal on Scientific and Statistical Computing 3 (1982), 289-317

    Google Scholar 

  • Gautschi, W. (1985): Orthogonal polynomials - constructive theory and applications, J. Comput. Appl. Math. 12/13 (1985), 61-76

    Google Scholar 

  • Gautschi, W. (1997): Numerical analysis - an introduction, Birkhäuser-Verlag, Basel Boston Berlin 1997

    Google Scholar 

  • Gauss, C.F. (1809): Theoria motus corporum coelestium. Gattingen

    Google Scholar 

  • Geisser, S. (1975): The predictive sample reuse method with applications. J. Math. Statist. 28: 385-394

    Google Scholar 

  • Gelb, A. (1974): Applied optimal estimation, Ed., MIT Press, Cambridge/Mass and London

    Google Scholar 

  • Gelfand, A.E. and D.K. Dey (1988): Improved estimation of the disturbance variance in a linear regression model, J. Econometrics 39 (1988), 387-395

    Google Scholar 

  • Gelfand, I.M., Kapranov, M.M. and Zelevinsky, A.V. (1990): Generalized Euler Integrals and A-Hypergeometry Functions, Advances in Mathematics 84} (1990) 255-271.

    Google Scholar 

  • Gelfand, I.M., Kapranov, M.M. and Zelevinsky, A.V. (1994): Discriminants, resultants and multidimensional determinants, Birkhäuser, Boston 1994.

    Google Scholar 

  • Gelderen, M. van and R. Rummel (2001): The solution of the general geodetic boundary value problem by least squares, Journal of Geodesy 75 (2001), 1-11

    Google Scholar 

  • Gelman, A., Carlin, J.B., Stern, H.S. and D.B. Rubin (1995): Bayesian data analysis, Chapman and Hall, London 1995

    Google Scholar 

  • Genton, M.G. (1998): Asymptotic variance of M-estimators for dependent Gaussian random variables, Statistics and Probability Lett. 38 (1998), 255-261

    Google Scholar 

  • Genton, M.G. and Y. Ma (1999): Robustness properties of dispersion estimators, Statistics & Probability Letters 44 (1999), 343-350

    Google Scholar 

  • Genugten, B. and Van Der, B. (1997): Testing in the restricted linear model using canonical partitions. Linear Algebra Appl. 264 (1997), 349-353.

    Google Scholar 

  • Gephart, J. and Forsyth D. (1984): An improved method for determining the regional stress tensor - using earthquake focal mechanism data: application to the San Fernando earthquake sequence, J. geophys. Res., B89, 9305-9320

    Google Scholar 

  • Gere, G.M. and W. Weaver (1965): Matrix algebra for engineers, Van Nostrand Co., New York 1956

    Google Scholar 

  • Ghosh, M., Mukhopadhyay, N. and P.K. Sen (1997): Sequential estimation, J. Wiley, New York 1997

    Google Scholar 

  • Ghosh, S. (1996): Wishart distribution via induction, The American Statistician 50 (1996), 243-246

    Google Scholar 

  • Ghosh, S. (1999): Multivariate analysis, design of experiments, and survey sampling, Marcel Dekker, Basel 1999

    Google Scholar 

  • Ghosh, S., Beran, J. and J. Innes (1997): Nonparametric conditional quantile estimation in the presence of long memory, Student 2 (1997), 109-117

    Google Scholar 

  • Ghosh, S. (ed.) (1999): Multivariate analysis, design of experiments, and survey sampling, Marcel Dekker, New York 1999

    Google Scholar 

  • Giacolone, M. (1997): Lp-norm estimation for nonlinear regression models, Student 2 (1997), 119-130

    Google Scholar 

  • Giering, O. (1984): Bemerkungen zum ebenen Trilaterationsproblem. Deutsche Geodätische Kommission, Reihe A, Nr. 101.

    Google Scholar 

  • Giering, O. (1986): Analytische Behandlung des raumlichen Trilaterationsproblems 4, 6, 0, o. Deutsche Geodätische Kommission, Reihe A, Nr. 104

    Google Scholar 

  • Gil, A. and J. Segura (1998): A code to evaluate prolate and oblate spheroidal harmonics, Computer Physics Communications 108 (1998), 267-278

    Google Scholar 

  • Gilbert, E.G. and C.P. Foo (1990): Computing the distance between general convex objects in three-dimensional space, JEEE Transactions on Robotics and Automation 6 (1990), 53-61

    Google Scholar 

  • Gilchrist, W. (1976): Statistical forecasting, Wiley, London 1976

    Google Scholar 

  • Gill, P.E., Murray, W. and Wright, M.H. (1981): Practical Optimization. Academic Press, London.

    Google Scholar 

  • Gill, P.E., Murray, W. and Saunders, M.A. (2002): Snopt: An SQP algorithm for large scale constrained optimization, Siam J. Optim. 12 (2002), 979-1006

    Google Scholar 

  • Gillard, D., Wyss, M. and J. Nakata (1992): A seismotectonic model for Western Hawaii based on stress tensor inversion from fault plane solutions, J. Geophys., Res., B97, 6629-6641

    Google Scholar 

  • Giri, N. (1977): Multivariate statistical inference, Academic Press, New York London 1977

    Google Scholar 

  • Giri, N. (1993): Introduction to probability and statistics, 2nd edition, Marcel Dekker, New York 1993

    Google Scholar 

  • Giri, N. (1996a): Multivariate statistical analysis, Marcel Dekker, New York 1996

    Google Scholar 

  • Giri, N. (1996b): Group invariance in statistical inference, World Scientific, Singapore 1996

    Google Scholar 

  • Girko, V.L. (1979): Distribution of eigenvalues and eigenvectors of hermitian stochastic matrices, Ukrain. Math. J., 31, 421-424

    Google Scholar 

  • Girko, V.L. (1985): Spectral theory of random matrices, Russian Math. Surveys, 40, 77-120

    Google Scholar 

  • Girko, V.L. (1988): Spectral theory of random matrices, Nauka, Moscow 1988

    Google Scholar 

  • Girko, V.L. (1990): Theory of random determinants, Kluwer Academic Publishers, Dordrecht 1990

    Google Scholar 

  • Girko, V.L. and A.K. Gupta (1996): Multivariate elliptically contoured linear models and some aspects of the theory of random matrices, in: Multidimensional statistical analysis and theory of random matrices, Proceedings of the Sixth Lukacs Symposium, eds. Gupta, A.K. and V.L. Girko, 327-386, VSP, Utrecht 1996

    Google Scholar 

  • Glatzer, E. (1999): über Versuchsplanungsalgorithmen bei korrelierten Beobachtungen, Master’s thesis, Wirtschaftsuniversität Wien

    Google Scholar 

  • Gleick, J. (1987): Chaos, viking, New York 1987

    Google Scholar 

  • Gleser, L.J. and I. Olkin (1972): Estimation for a regression model with an unknown covariance matrix, in: Proceedings of the sixth Berkeley symposium on mathematical statistics and probability, Vol. 1, 541-568, University of California Press, Berkeley 1972

    Google Scholar 

  • Glimm, J. (1960): On a certain class of operator algebras, Trans. American Mathematical Society 95 (1960), 318-340

    Google Scholar 

  • Gnedenko, B.V. and A.N. Kolmogorov (1968): Limit distributions for sums of independent random variables, Addison-Wesley Publ., Reading, Mass. 1968

    Google Scholar 

  • Gnedin, A.V. (1993): On multivariate extremal processes, J. Multivar. Anal. 46 (1993), 207-213

    Google Scholar 

  • Gnedin, A.V. (1994): On a best choice problem with dependent criteria, J. Applied Probability 31 (1994), 221-234

    Google Scholar 

  • Gneiting, T. (1999): Correlation functions for atmospheric data analysis, Q. J. R. Meteorol. Soc. 125 (1999), 2449-2464

    Google Scholar 

  • Gneiting, T. and Savati, Z. (1999): The characterization problem for isotropic covariance functions, Analy. Royal Met. Society 115 (1999) 2449-2450

    Google Scholar 

  • Gnot, S. and Michalski, A. (1994): Tests based on admissible estimators in two variance components models, Statistics 25 (1994), 213-223

    Google Scholar 

  • Gnot, S. and Trenkler, G. (1996): Nonnegative quadratic estimation of the mean squared errors of minimax estimators in the linear regression model, Acta Applicandae Mathematicae 43 (1996), 71-80

    Google Scholar 

  • Godambe, V.P. (1991): Estimating Functions, Oxford University Press 1991

    Google Scholar 

  • Godambe, V.P. (1995): A unified theory of sampling from finite populations, J. Roy. Statist. Soc. B17 (1955), 268-278

    Google Scholar 

  • Göbel, M. (1998): A constructive description of SAGBI bases for polynomial invariants of permutation groups, J. Symbolic Computation 26 (1998), 261-272

    Google Scholar 

  • Goldberger, A.S. (1962): Best linear unbiased prediction in the generalized linear regression model, J. Am. Statist. Ass. 57 (1962), 369-375

    Google Scholar 

  • Goldberger, A.S. (1964): Economic theory, Wiley, New York, 1964

    Google Scholar 

  • Goldberg, M.L., Bates, D.M. and Watts, D.G. (1983): Simplified methods for assessing nonlinearity. American Statistical Association/Business and Economic Statistics Section, 67-74.

    Google Scholar 

  • Goldie, C.M. and S. Resnick (1989): Records in a partially ordered set, Annals Probability 17 (1989), 678-689

    Google Scholar 

  • Goldie, C.M. and S. Resnick (1995): Many multivariate records, Stochastic Processes Appl. 59 (1995), 185-216

    Google Scholar 

  • Goldie, C.M. and S. Resnick (1996): Ordered independent scattering, Commun. Statist. Stochastic Models 12 (1996), 523-528

    Google Scholar 

  • Goldman, A.J. and Zelen, M. (2003): Weak generalized inverses and minimum variance linear unbiased estimation. J. Res. Natl. Bur. Stand., Sect. B 68 (1964), 151-172.

    Google Scholar 

  • Goldstine, H. (1977): A history of numerical analysis from the 16th through the 19th century, Springer-Verlag, Heidelberg Berlin New York 1977

    Google Scholar 

  • Golshstein, E.G. and N.V. Tretyakov (1996): Modified Lagrangian and monotone maps in optimization, J. Wiley, New York 1996

    Google Scholar 

  • Golub, G.H. (1968): Least squares, singular values and matrix approximations, Aplikace Matematiky 13 (1968), 44-51

    Google Scholar 

  • Golub, G.H. (1973): Some modified matrix eigenvalue problems, SIAM Review 15 (1973), 318-334

    Google Scholar 

  • Golub, G.H. and C.F. van Loan (1983): Matrix Computations. North Oxford Academic, Oxford.

    Google Scholar 

  • Golub, G.H. and C.F. van Loan (1996): Matrix computations, 3rd edition, John Hopkins University Press, Baltimore 1996

    Google Scholar 

  • Golub, G.H. and W. Kahan (1965): Calculating the singular values and pseudo-inverse of a matrix, SIAM J Numer. Anal. 2 (1965), 205-224

    Google Scholar 

  • Golub, G.H. and U. von Matt (1991): Quadratically constrained least squares and quadratic problems, Numer. Math. 59 (1991), 561-580

    Google Scholar 

  • Golub, G.H., Hansen, P.C. and O’Leary, D.P. (1999): Tikhonov regularization and total least squares, SIAM J. Matrix Anal. Appl. 21 (1999), 185-194

    Google Scholar 

  • Gèomez, E., Gèomez-Villegas, M.A. and Marèìn, J.M. (1998): A multivariate generalization of the power exponential family of distributions, Commun. Statist. - Theory Meth. 27 (1998), 589-600

    Google Scholar 

  • Gonin, R. and A.H. Money (1987): A review of computational methods for solving the nonlinear L 1 norm estimation problem, in: Statistical data analysis based on the L1 norm and related methods, Ed. Y. Dodge, North Holland 1987

    Google Scholar 

  • Gonin, R. and A.H. Money (1989): Nonlinear Lp-norm estimation, Marcel Dekker, New York 1989

    Google Scholar 

  • Goodall, C. (1991): Procrustes methods in the statistical analysis of shape, J. Roy. Stat. Soc. B53 (1991), 285-339

    Google Scholar 

  • Goodman, J.W. (1985): Statistical optics, J. Wiley, New York 1985

    Google Scholar 

  • Gordon, A.D. (1997): L1-norm and L2-norm methodology in cluster analysis, Student 2 (1997), 181-193

    Google Scholar 

  • Gordon, A.D. (1999): Classification, 2nd edition, Chapman and Hall, Yew York 1999

    Google Scholar 

  • Gordon, L. and M. Hudson (1977): A characterization of the Von Mises Distribution, Ann. Statist. 5 (1977), 813-814

    Google Scholar 

  • Gordon, R. and Stein, S. (1992): Global tectonics and space geodesy, Science, 256, 333-342

    Google Scholar 

  • Gordonova, V.I. (1973): The validation of algorithms for choosing the regularization parameter, Zh. vychisl. Mat. mat. Fiz. 13 (1973), 1328-1332

    Google Scholar 

  • Gorman, O.T.W. (2001): Adaptive estimation using weighted least squares, Aust. N. Z. J. Stat. 43 (2001), 287-297

    Google Scholar 

  • Gosset, W.S. (1908): The probable error of a mean, Biometrika, 6, 1-25.

    Google Scholar 

  • Gotthardt, E. (1940): Zur Unbestimmtheit des räumlichen Rückwärtseinschnittes, Mitteilungen der Ges. f. Photogrammetry e.V., Jänner 1940, Heft 5.

    Google Scholar 

  • Gotthardt, E. (1971): Grundsutzliches zur Fehlertheorie and Ausgleichung von Polygonzugen and Polygonnetzen, Wichmann Verlag, Karlsruhe 1971

    Google Scholar 

  • Gotthardt, E. (1974): Ein neuer gefährlicher Ort zum räumlichen Rückwärtseinschneiden, Bildm. u. Luftbildw., 1974.

    Google Scholar 

  • Gotthardt E. (1978): Einführung in die Ausgleichungsrechnung, 2nd ed., Wichmann, Karlsruhe 1978

    Google Scholar 

  • Gould, A.L. (1969): A regression technique for angular varietes, Biometrica 25 (1969), 683-700

    Google Scholar 

  • Gower, J.C. (1974): The median center, Applied Statistics 2, (1974), pp. 466-470

    Google Scholar 

  • Grabisch, M. (1998): Fuzzy Integral as a Flexible and Interpretable Tool of Aggregation, In (Ed. B. Bouchon-Meunier, Aggregation and Fusion of Imperfect Information, pp. 51-72, Physica Verlag, Heidelberg, 1998

    Google Scholar 

  • Grafarend, E.W.: a) DGK C 153, München 1970; b) AVN 77, 17 (1970); c) Vermessungstechnik 19, 66 (1971); d) ZfV 96, 41 (1971); e) ZAMM. imDruck.

    Google Scholar 

  • Grafarend, E.W. (1967a): Bergbaubedingte Deformation und ihr Deformationstensor, Bergbauwissenschaften 14 (1967), 125-132

    Google Scholar 

  • Grafarend, E.W. (1967b): Allgemeiner Fehlertensor bei a priori und a posteriori-Korrelationen, Zeitschrift für Vermessungswesen 92 (1967), 157-165

    Google Scholar 

  • Grafarend, E.W. (1969): Helmertsche Fußpunktkurve oder Mohrscher Kreis? Allgemeine Vermessungsnachrichten 76 (1969), 239-240

    Google Scholar 

  • Grafarend, E.W. (1970a): Praeidiktion und Punktamasse, AVN (1970), S. 17

    Google Scholar 

  • Grafarend, E.W. (1970b): Verallgemeinerte Methode der kleinsten Quadrate für zyklische Variable, Zeitschrift für Vermessungswesen 4 (1970), 117-121

    Google Scholar 

  • Grafarend, E.W. (1970c): Die Genauigkeit eines Punktes im mehrdimensionalen Euklidischen Raum, Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften C 153, München 1970

    Google Scholar 

  • Grafarend, E.W. (1970d): Fehlertheoretische Unschärferelation, Festschrift Professor Dr.-Ing. Helmut Wolf, 60. Geburtstag, Bonn 1970

    Google Scholar 

  • Grafarend, E.W. (1971a): Mittlere Punktfehler und Vorwärtseinschneiden, Zeitschrift für Vermessungswesen 96 (1971), 41-54

    Google Scholar 

  • Grafarend, E.W. (1971b): Isotropietests von Lotabweichungen Westdeutschlands, Z. Geophysik 37 (1971), 719-733

    Google Scholar 

  • Grafarend, E.W. (1972a): Nichtlineare Prädiktion, Zeitschrift für Vermessungswesen 97 (1972), 245-255

    Google Scholar 

  • Grafarend, E.W. (1972b): Isotropietests von Lotabweichungsverteilungen Westdeutschlands II, Z. Geophysik 38 (1972), 243-255

    Google Scholar 

  • Grafarend, E.W. (1972c): Genauigkeitsmaße geodätischer Netze, Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften A73, München 1972

    Google Scholar 

  • Grafarend, E.W. (1973a): Nichtlokale Gezeitenanalyse, Mitt. Institut für Theoretische Geodäsie No. 13, Bonn 1973

    Google Scholar 

  • Grafarend, E.W. (1973b): Optimales Design geodätische Netze 1 (zus. P. Harland), Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften A74, München 1973

    Google Scholar 

  • Grafarend, E.W. (1973c): Eine Lotabweichungskarte Westdeutschlands nach einem geodätisch konsistenten Kolmogorov-Wiener Modell , Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, Report A 82, München 1975

    Google Scholar 

  • Grafarend, E.W. (1974): Optimization of geodetic networks, Bollettino di Geodesia e Scienze Affini 33 (1974), 351-406

    Google Scholar 

  • Grafarend, E.W. (1975a): Three dimensional Geodesy 1. The holonomity problem, Zeitschrift für Vermessungswesen 100} (1975) 269-280.

    Google Scholar 

  • Grafarend, E.W. (1975b): Second order design of geodetic nets, Zeitschrift für Vermessungswesen 100 (1975), 158-168

    Google Scholar 

  • Grafarend, E.W. (1976): Geodetic applications of stochastic processes, Physics of the Earth and Planetory Interiors 12 (1976), 151-179

    Google Scholar 

  • Grafarend, E.W. (1977a): Geodasie - Gaufische oder Cartansche Flachengeometrie. Allgemeine Vermessungs-Nachrichten, 84. Jg., Heft 4, 139-150.

    Google Scholar 

  • Grafarend, E.W. (1977b): Stress-strain relations in geodetic networks Report 16, Geodetic Institute, University of Uppsala.

    Google Scholar 

  • Grafarend, E.W. (1978): Operational geodesy, in: Approximation Methods in Geodesy, eds. H. Moritz and H. Sünkel, 235-284, H. Wichmann Verlag, Karlsruhe 1978

    Google Scholar 

  • Grafarend, E.W. (1981): Die Beobachtungsgleichungen der dreidimensionalen Geodäsie im Geometrie- und Schwereraum. Ein Beitrag zur operationellen Geodäsie, Zeitschrift für Vermessungswesen 106} (1981) 411-429.

    Google Scholar 

  • Grafarend, E.W. (1982): Six lectures on geodesy and global geodynamics, In: H. Moritz and H. Snkel (Ed.), Lecture Notes, Mitt. Geod.. lnst. Techn. UnL Graz, 41, 531-685

    Google Scholar 

  • Grafarend, E.W. (1983): Stochastic models for point manifolds, in: Mathematical models of geodetic/photogrammetric point determination with regard to outliers and systematic errors, ed. F.E. Ackermann, Report A98, 29-52, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, München 1983

    Google Scholar 

  • Grafarend, E.W. (1984): Variance-covariance component estimation of Helmert type in the Gauss-Helmert model, Zeitschrift für Vermessungswesen 109 (1984), 34-44

    Google Scholar 

  • Grafarend, E.W. (1985a): Variance-covariance component estimation, theoretical results and geodetic applications, Statistics and Decision, Supplement Issue No. 2 (1985), 407-447

    Google Scholar 

  • Grafarend, E.W. (1985b): Criterion matrices of heterogeneously observed three-dimensional networks, manuscripta geodaetica 10 (1985), 3-22

    Google Scholar 

  • Grafarend, E.W. (1985c): Criterion matrices for deforming networks, in: Optimization and Design of Geodetic Networks, E. Grafarend and F. Sanso (eds.), 363-428, Springer-Verlag, Heidelberg Berlin New York 1985

    Google Scholar 

  • Grafarend, E.W. (1986a): Generating classes of equivalent linear models by nuisance parameter elimination - applications to GPS observations, manuscripta geodaetica 11 (1986) 262-271

    Google Scholar 

  • Grafarend, E.W. (1986b): Three dimensional deformation analysis: global vector spherical harmonic and local element representation, Tectonophysics, 130, 337-359

    Google Scholar 

  • Grafarend, E.W. (1988): Azimuth transport and the problem of orientation within geodetic traverses and geodetic networks, Vermessung, Photogrammetrie, Kulturtechnik 86} (1988) 132-150.

    Google Scholar 

  • Grafarend, E.W. (1989a): Four lectures on special and general relativity, Lecture Notes in Earth Sciences, F. Sanso and R. Rummel (eds.), Theory of Satellite Geodesy and Gravity Field Determination, Nr. 25, 115-151, Springer-Verlag Berlin New York 1989

    Google Scholar 

  • Grafarend, E.W. (1989b): Photogrammetrische Positionierung, Festschrift Prof. Dr.-Ing. Dr. H.C. Friedrich Ackermann zum 60. Geburtstag, Institut für Photogrammetrie, Universität Stuttgart, Report 14, 45-55, Suttgart

    Google Scholar 

  • Grafarend, E.W. (1990): Dreidimensionaler Vorwartsschnitt. Zeitschrift fiir Vermessungswesen, 10, 414-419.

    Google Scholar 

  • Grafarend, E.W. (1991a): Relativistic effects in geodesy, Report Special Study Group 4.119, International Association of Geodesy, Contribution to Geodetic Theory and Methodology ed. F. Sanso, 163-175, Politecnico di Milano, Milano/Italy 1991

    Google Scholar 

  • Grafarend, E.W. (1991b): The Frontiers of Statistical Scientific Theory and Industrial Applications (Volume II of the Proceedings of ICOSCO-I), American Sciences Press, 405-427, New York 1991

    Google Scholar 

  • Grafarend, E.W. (1991c): Application of Geodesy to Engineering. IAG-Symposium No. 108, Eds. K. Linkwitz, V. Eisele, H. J. Mönicke, Springer-Verlag, Berlin-Heidelberg-New York 1991.

    Google Scholar 

  • E. Grafarend, T. Krarup, R. Syffus: Journal of Geodesy 70 (1996) 276-286

    Google Scholar 

  • Grafarend, E.W. (1998): Helmut Wolf - das wissenschaftliche Werk/the scientific work , Heft A115, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, C.H. Beck’sche Verlagsbuchhandlung, 97 Seiten, München 1998

    Google Scholar 

  • Grafarend, E.W. (2000): Mixed integer-real valued adjustment (IRA) problems, GPS Solutions 4 (2000), 31-45

    Google Scholar 

  • Grafarend, E.W. and Kunz, J. (1965): Der Rückwärtseinschnitt mit dem Vermessungskreisel, Bergbauwissenschaften 12} (1965) 285-297.

    Google Scholar 

  • Grafarend, E. and E. Livieratos (1978): Rand defect analysis of satellite geodetic networks I : geometric and semi-dynamic mode, manuscipta geodaetica 3 (1978) 107-134

    Google Scholar 

  • Grafarend, E. and K. Heinz (1978): Rank defect analysis of satellite geodetic networks II : dynamic mode, manuscipta geodaetica 3 (1978) 135-156

    Google Scholar 

  • Grafarend, E.W. and P. Harland (1973) : Optimales Design geodaetischer Netze I, Deutsche Geodaetische Kommission, Bayerische Akademie der Wissenschaften, Series A, C.H. Beck Verlag, Munich 1973

    Google Scholar 

  • Grafarend, E.W. and B. Schaffrin (1974): Unbiased free net adjustment, Surv. Rev. XXII, 171 (1974), 200-218

    Google Scholar 

  • Grafarend, E.W., Heister, H., Kelm, R., Kropff, H. and B. Schaffrin (1979): Optimierung geodätischer Messoperationen , 499 pages, H. Wichmann Verlag, Karlsruhe 1979

    Google Scholar 

  • Grafarend, E.W. and G. Offermanns (1975): Eine Lotabweichungskarte Westdeutschlands nach einem geodätisch konsistenten Kolmogorov-Wiener Modell, Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften A82, München 1975

    Google Scholar 

  • Grafarend, E.W. and B. Schaffrin (1976): Equivalence of estimable quantities and invariants in geodetic networks, Z. Vermessungswesen 191 (1976), 485-491

    Google Scholar 

  • Grafarend, E.W., Schmitt, G. and B. Schaffrin (1976): Über die Optimierung lokaler geodätischer Netze (Optimal design of local geodetic networks), 7th course, High precision Surveying Engineering (7. Int. Kurs für Ingenieurvermessung hoher Präzision) 29 Sept - 8 Oct 1976, Darmstadt 1976

    Google Scholar 

  • Grafarend, E.W. and Richter, B. (1977): Generalized Laplace condition, Bull. Geod. 51} (1977) 287-293.

    Google Scholar 

  • Grafarend, E.W. and B. Richter (1978): Threedimensional geodesy II - the datum problem -, Zeitschrift für Vermessungswesen 103 (1978), 44-59

    Google Scholar 

  • Grafarend, E.W. and A. d’Hone (1978): Gewichtsschätzung in geodätischen Netzen, Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften A88, München 1978

    Google Scholar 

  • Grafarend, E.W. and B. Schaffrin (1979): Kriterion-Matrizen I - zweidimensional homogene und isotope geodätische Netze - ZfV 104 (1979), 133-149

    Google Scholar 

  • Grafarend, E.W., J.J. Mueller, H.B. Papo, and B. Richter (1979): Concepts for reference frames in geodesy and geodynamics: the reference directions, Bull. Gèeodèesique 53 (1979), 195-213

    Google Scholar 

  • Grafarend, E.W., Heister, H., Kelm, R., Knopff, H. and Schaffrin, B. (1979): Optimierung Geodätischer Messoperationen, Herbat Wichmann Verlag, Karlsruhe 1979.

    Google Scholar 

  • Grafarend, E.W. and R.H. Rapp (1980): Advances in geodesy. Selected papers from Rev. Geophys. Space Phys., Richmond, Virg., Am Geophys Union,Washington

    Google Scholar 

  • Grafarend, E.W. and A. Kleusberg (1980): Expectation and variance component estimation of multivariate gyrotheodolite observations, I. Allgemeine Vermessungs-Nachrichten 87 (1980), 129-137

    Google Scholar 

  • Grafarend, E.W., Kleusberg, A. and B. Schaffrin (1980): An introduction to the variance-covariance component estimation of Helmert type, Zeitschrift für Vermessungswesen 105 (1980), 161-180

    Google Scholar 

  • Grafarend, E.W. and B. Schaffrin (1982): Kriterion Matrizen II: Zweidimensionale homogene und isotrope geodätische Netze, Teil II a: Relative cartesische Koordinaten, Zeitschrift für Vermessungswesen 107 (1982), 183-194, Teil IIb: Absolute cartesische Koordinaten, Zeitschrift für Vermessungswesen 107 (1982), 485-493

    Google Scholar 

  • Grafarend, E.W., Knickemeyer, E.H. and B. Schaffrin (1982): Geodätische Datumtransformationen, Zeitschrift für Vermessungswesen 107 (1982), 15-25

    Google Scholar 

  • Grafarend, E.W., Krumm, F. and B. Schaffrin (1985): Criterion matrices of heterogeneously observed threedimensional networks, manuscripta geodaetica 10 (1985), 3-22

    Google Scholar 

  • Grafarend, E.W. and F. Sanso (1985): Optimization and design of geodetic networks, Springer-Verlag, Heidelberg Berlin New York 1985

    Google Scholar 

  • Grafarend, E.W. and V. Müller (1985): The critical configuration of satellite networks, especially of Laser and Doppler type, for planar configurations of terrestrial points, manuscripta geodaetica 10 (1985), 131-152

    Google Scholar 

  • Grafarend, E.W. and F. Krumm (1985): Continuous networks I, in: Optimization and Design of Geodetic Networks. E. Grafarend and F. Sanso (eds.), 301-341, Springer-Verlag, Heidelberg Berlin New York 1985

    Google Scholar 

  • Grafarend, E.W., Krumm, F. and B. Schaffrin (1985): Criterion matrices of heterogenously observed three dimensional networks, manuscripta geodetica 10 (1985) 3-22

    Google Scholar 

  • Grafarend, E.W., Krumm, F. and B. Schaffrin (1986): Kriterion-Matrizen III: Zweidimensionale homogene und isotrope geodätische Netze, Zeitschrift für Vermessungswesen 111 (1986), 197-207

    Google Scholar 

  • Grafarend, E.W., Krumm, F. and B. Schaffrin (1986): Kriterion-Matrizen III: Zweidimensional homogene und isotrope geodätische Netze, Zeitschrift für Vermessungswesen 111 (1986), 197-207

    Google Scholar 

  • Grafarend, E.W. and B. Schaffrin (1988): Von der statistischen zur dynamischen Auffasung geodätischer Netze, Zeitschrift für Vermessungswesen 113 (1988), 79-103

    Google Scholar 

  • Grafarend, E.W. and B. Schaffrin (1989a): The Planar Trisection Problem. Festschrift to Torben Krarup, Eds.: E. Kejlso, K. Poder, C.C. Tscherning, Geodaetisk Institute, No. 58, Kobenhavn, 149-172.

    Google Scholar 

  • Grafarend, E.W. and B. Schaffrin (1989b): The geometry of nonlinear adjustment - the planar trisection problem, Festschrift to Torben Krarup eds. E. Kejlso, K. Poder and C.C. Tscherning, Geodaetisk Institut, Meddelelse No. 58, 149-172, Kobenhavn 1989

    Google Scholar 

  • Grafarend, E.W. and A. Mader (1989): A graph-theoretical algorithm for detecting configuration defects in triangular geodetic networks, Bull. Gèeodèesique 63 (1989), 387-394

    Google Scholar 

  • Grafarend, E.W., Lohse, P. and Schaffrin, B. (1989): Dreidimensionaler Rückwärtsschnitt, Zeitschrift für Vermessungswesen 114 (1989) 61-67, 127-137, 172-175, 225-234, 278-287.

    Google Scholar 

  • Grafarend, E.W. and B. Schaffrin (1991): The planar trisection problem and the impact of curvature on non-linear least-squares estimation, Comput. Stat. Data Anal. 12 (1991), 187-199

    Google Scholar 

  • Grafarend, E.W. and Lohse, P. (1991): The minimal distance mapping of the topographic surface onto the (reference) ellipsoid of revolution, Manuscripta Geodaetica 16} (1991) 92-110.

    Google Scholar 

  • Grafarend, E.W. and B.Schaffrin (1993): Ausgleichungsrechnung in linearen Modellen, Brockhaus, Mannheim 1993

    Google Scholar 

  • Grafarend, E.W. and Xu, P. (1994): Observability analysis of integrated INS/GPS system, Bollettino di Geodesia e Scienze Affini 103 (1994), 266-284

    Google Scholar 

  • Grafarend, E.W., Krumm, F. and F. Okeke (1995): Curvilinear geodetic datum transformations, Zeitschrift für Vermessungswesen 120 (1995), 334-350

    Google Scholar 

  • Grafarend, E.W. and P. Xu (1995): A multi-objective second-order optimal design for deforming networks, Geophys. Journal Int. 120 (1995), 577-589

    Google Scholar 

  • Grafarend, E.W. and Keller, W. (1995): Setup of observational functionals in gravity space as well as in geometry space, Manuscripta Geodetica 20} (1995) 301-325.

    Google Scholar 

  • Grafarend, E.W., Krumm, F. and Okeke, F. (1995): Curvilinear geodetic datum transformation, Zeitschrift für Vermessungswesen 120} (1995) 334-350.

    Google Scholar 

  • Grafarend, E.W., Syffus, R. and You, R.J. (1995): Projective heights in geometry and gravity space, Allgemeine Vermessungs-Nachrichten 102} (1995) 382-402.

    Google Scholar 

  • Grafarend, E.W., Krarup, T. and R. Syffus (1996): An algorithm for the inverse of a multivariate homogeneous polynomial of degree n, Journal of Geodesy 70 (1996), 276-286

    Google Scholar 

  • Grafarend, E.W. and G. Kampmann (1996): C10(3): The ten parameter conformal group as a datum transformation in three dimensional Euclidean space, Zeitschrift für Vermessungswesen 121 (1996), 68-77

    Google Scholar 

  • Grafarend, E.W. and Shan, J. (1996): Closed-form solution of the nonlinear pseudo-ranging equations (GPS), Artificial Satellites, Planetary Geodesy No. 28, Special issue on the 30th anniversary of the Department of Planetary Geodesy, Vol. 31, No. 3, pp. 133-147, Warszawa 1996.

    Google Scholar 

  • Grafarend, E.W. and Shan, J. (1997a): Closed-form solution of P4P or the three-dimensional resection problem in terms of Möbius barycentric coordinates, Journal of Geodesy 71} (1997) 217-231.

    Google Scholar 

  • Grafarend, E.W., and Shan, J. (1997b): Closed form solution of the twin P4P or the combined three dimensional resection-intersection problem in terms of Möbius barycentric coordinates, Journal of Geodesy 71} (1997) 232-239.

    Google Scholar 

  • Grafarend, E.W. and Shan J. (1997c): Estimable quantities in projective networks, Zeitschrift für Vermessungswesen, Part I, 122 (1997), 218-226, Part II, 122 (1997), 323-333

    Google Scholar 

  • Grafarend, E.W. and Okeke, F. (1998): Transformation of conformal coordinates of type Mercator from global datum (WGS 84) to local datum (regional, national), Marine Geodesy 21} (1998) 169-180.

    Google Scholar 

  • Grafarend, E.W. and Syfuss, R. (1998): Transformation of conformal coordinates of type Gauss-Krüger or UTM from local datum (regional, national, European) to global datum (WGS 84) part 1: The transformation equations, Allgemeine Vermessungs-Nachrichten 105} (1998) 134-141.

    Google Scholar 

  • Grafarend, E.W. and Ardalan, A. (1999): World geodetic datum 2000, Journal of Geodesy 73} (1999) 611-623.

    Google Scholar 

  • Grafarend, E.W. and Awange, J.L. (2000): Determination of vertical deflections by GPS/LPS measurements, Zeitschrift für Vermessungswesen 125} (2000) 279-288.

    Google Scholar 

  • Grafarend, E.W. and J. Shan (2002): GPS Solutions: closed forms, critical and special configurations of P4P, GPS Solutions 5 (2002), 29-42

    Google Scholar 

  • Grafarend, E.W. and J. Awange (2002): Algebraic solution of GPS pseudo-ranging equations, GPS Solutions 5 (2002), 20-32

    Google Scholar 

  • Grafarend, E.W. and J. Awange (2002): Nonlinear adjustment of GPS observations of type pseudo-ranges, GPS Solutions 5 (2002), 80-93

    Google Scholar 

  • Graham, A. (1981): Kronecker products and matrix calculus, J. Wiley, New York 1981

    Google Scholar 

  • Gram, J.P. (1883): Über die Entwicklung reeller Functionen in Reihen mittelst der Methode der kleinsten Quadrate, J. Reine Angew. Math. 94 (1883), 41-73

    Google Scholar 

  • Granger, C.W.J. and Hatanka, M. (1964): Spectral analysis of economic time series, Princeton 1964

    Google Scholar 

  • Granger, C.W.J. and P. Newbold (1986): Forecasting economic time series, 2nd ed., Academic Press, New York London 1986

    Google Scholar 

  • Granger, C.W.J. and T. Teräsvirta (1993): Modelling nonlinear economic relations, Oxford University Press, New York 1993

    Google Scholar 

  • J.T. Graves: Transactions of the Irish Academy 21 (1848) 338

    Google Scholar 

  • Graybill, F.A. (1954): On quadratic estimates of variance components, The Annals of Mathematical Statistics 25 (1954), 267-372

    Google Scholar 

  • Graybill, F.A. (1961): An intorduction to linear statistical models, Mc Graw-Hill, New York, 1961

    Google Scholar 

  • Graybill, F.A. (1983): Matrices with applications in statistics, 2nd ed., Wadsworth, Beltmont 1983

    Google Scholar 

  • Graybill, F.A. and R.A. Hultquist (1961): Theorems concerning Eisenhart’s model II, The Annals of Mathematical Statistics 32 (1961), 261-269

    Google Scholar 

  • Green, B. (1952): The orthogonal approximation of an oblique structure in factor analysis, Psychometrika 17 (1952), 429-440

    Google Scholar 

  • Green, P.J. and B.W. Silverman (1993): Nonparametric regression and generalized linear models, Chapman and Hall, Boca Raton 1993

    Google Scholar 

  • Green, P.E., Frosch, R.A. and Romney, C.F. (1965): Principles of an experimental large aperture seismic array, Proc. IEEE 53 (1965) 1821-1833

    Google Scholar 

  • Green, P.E., Kelly, E.J. and Levin, M.J. (1966): A comparison of seismic array processing methods, Geophys. J. R. astr. Soc. 11 (1966) 67-84

    Google Scholar 

  • Greenbaum, A. (1997): Iterative methods for solving linear systems, SIAM, Philadelphia 1997

    Google Scholar 

  • Greenwood, J.A. and D. Durand (1955): The distribution of length and components of the sum of n random unit vectors, Ann. Math. Statist. 26 (1955), 233-246

    Google Scholar 

  • Greenwood, P.E. and G. Hooghiemstra (1991): On the domain of an operator between supremum and sum, Probability Theory Related Fields 89 (1991), 201-210

    Google Scholar 

  • Gregersen, S. (1992): Crustal stress regime in Fennoscandia from focal mechanisms, J. geophys. Res., B97, 11821-11827

    Google Scholar 

  • Grenander, U. (1981): Abstract inference, J. Wiley, New York 1981

    Google Scholar 

  • Greub, W.H. (1967): Multilinear algebra, Springer Verlag, Berlin 1967

    Google Scholar 

  • Grewal, M.S., Weill, L.R. and Andrews, A.P. (2001): Global Positioning Systems, Inertial Navigation and Integration, John Wiley & Sons, New York 2001.

    Google Scholar 

  • Griffith, D.F. and D.J. Higham (1997): Learning LaTeX, SIAM, Philadelphia 1997

    Google Scholar 

  • Grigoriu, M. (2002): Stochastic calculus, Birkhanser, Boston-Basel-Baein 2002

    Google Scholar 

  • Grimstad, A. and T.Mannseth (2000): Nonlinearity, sale and sensitivity for parameter estimation problems, SIAM J. Sci. Comput. 21 (2000), 2096-2113

    Google Scholar 

  • Grodecki, J. (1999): Generalized maximum-likelihood estimation of variance components with inverted gamma prior, Journal of Geodesy 73 (1999), 367-374

    Google Scholar 

  • Gröbner, W. (1968): Algebraische Geometrie I. Bibliographisches Institut, Mannheim.

    Google Scholar 

  • Gröbner, W. (1970): Algebraische Geometrie II. Bibliographisches Institut, Mannheim

    Google Scholar 

  • Gröbner, W. and N. Hofreiter (eds., 1973): Integraltafel, zweiter Teil, bestimmte Integrale. 5. ’verbesserte Auflage, Wien.

    Google Scholar 

  • Gröchenig, K. (2001): Foundations of time-frequency analysis, Birkäuser Verlag, Boston Basel Berlin 2001

    Google Scholar 

  • Groenigen, van J.W. and Siderius, W. and Stein, A. (1999): Constrained optimisation of soil sampling for minimisation of the kriging variance. Geoderma 87:239-259

    Google Scholar 

  • Groß, J. (1996): On a class of estimators in the general Gauss-Markov model, Commun. Statist. - Theory Meth. 25 (1996), 381-388

    Google Scholar 

  • Groß, J. (1996): Estimation using the linear regression model with incomplete ellipsoidal restrictions, Acta Applicandae Mathematicae 43 (1996), 81-85

    Google Scholar 

  • Groß, J. (1998): Statistical estimation by a linear combination of two given statistics, Statistics and Probability Lett. 39 (1998), 379-384

    Google Scholar 

  • Groß, J. (2003): Linear regression. Springer, Berlin, 2003.

    Google Scholar 

  • Groß, J. and G. Trenkler (1997): When do linear transforms of ordinary least squares and Gauss-Markov estimator coincide?, Sankhya 59 (1997), 175-178

    Google Scholar 

  • Groß, J., Trenkler, G. and E.P. Liski (1998): Necessary and sufficient conditions for superiority of misspecified restricted least squares regression estimator, J. Statist. Planning and Inference 71 (1998), 109-116

    Google Scholar 

  • Groß, J., Puntanen, S. (2000): Estimation under a general partitioned linear model. Linear Algebra Appl. 321, 1-3 (2000), 131-144.

    Google Scholar 

  • Groß, J., Trenkler, G. and H.J. Werner (2001): The equality of linear transforms of the ordinary least squares estimator and the best linear unbiased estimator, Sankhya: The Indian Journal of Statistics 63 (2001), 118-127

    Google Scholar 

  • Großmann, W. (1973): Grundzüge der Ausgleichungsrechnung, Springer-Verlag, Heidelberg Berlin New York 1973

    Google Scholar 

  • Großman, N. (1980): Four Lectures on Geometry for-Geodesists. In: Proceedings of the International School of Advanced Geodesy, Erice (Italy), May 18.-June 2.1978, Eds.: E. W. Grafarend, A. Marussi, published by the University FAF, Munich.

    Google Scholar 

  • Groten, E. (1964): Symposium “Extension of the Gravity Anomalies to Unsurveyed Areas”, Columbus (Ohio) 1964

    Google Scholar 

  • Groten, E. (1964): lnst. f. Astr. Phys. Geod., Publ. No. 39, Miinchen 1967.

    Google Scholar 

  • Grubbs, F.E. (1973): Errors of measurement, precision, accuracy and the statistical comparison of measuring instruments, Technometrics 15 (1973), 53-66

    Google Scholar 

  • Grubbs, F.E. and G. Beck (1972): Extension of sample sizes and precentage points for significance tests of outlying observations, Technometrics 14 (1972), 847-854

    Google Scholar 

  • Gruen, A. and Kahmen, H. (Eds.) (1989): Optical 3-D Measurement Techniques. Wichmann, Karlsruhe.

    Google Scholar 

  • Gründig, L. (1975): Die Berechnung vorgespannter Seil- und Hangenetze unter der Beriicksichtigung ihrer topologischen und physikalischen Eigenschaften und der Ausgleichungsrechnung. Sonderforschungsbereich 64, Universitat Stuttgart, Mitteilungen 34/1975.

    Google Scholar 

  • Gründig, L. (1976): Ausgleichung grofier geodätischer Netze, Bestimmung von Naherungskoordinaten, Ausgleichungstechniken und Fehlersuche. VII. Internationaler Kurs fiir Ingenieurvermessungen, Darmstadt, 41-51.

    Google Scholar 

  • Grunert, J.A. (1841): Das Pothenotsche Problem in erweiterter Gestalt; nebst Bemerkungen über seine Anwendungen in der Geodäsie, Grunerts Archiv für Mathematik und Phsyik 1 pp. 238-241, 1841.

    Google Scholar 

  • Guckenheimer, J., Myers, M. and Sturmfels, B. (1997): Computing Hopf birfucations, SIAM J. Numerical Analysis 34} (1997) 1-21.

    Google Scholar 

  • Guenther, W.C. (1964): Another derivation of the non-central Chi-Square distribution, J. Am. Statist. Ass. 59 (1964), 957-960

    Google Scholar 

  • Gui, Q. and J. Zhang (1998): Robust biased estimation and its applications in geodetic adjustments, Journal of Geodesy 72 (1998), 430-435

    Google Scholar 

  • Gui, Q.M. and J.S. Liu (2000): Biased estimation in the Gauss-Markov model, Allgemeine Vermessungsnachrichten 107 (2000), 104-108

    Google Scholar 

  • Gulliksen, H. and S.S. Wilks (1950), Regression tests for several samples Psychometrica, 15, 91-114

    Google Scholar 

  • Gullikson, M. (1995a): The partial Procrustes problem - A first look, Department of Computing Science, Umea University, Report UMINF-95.11, Sweden 1995.

    Google Scholar 

  • Gullikson, M. (1995b): Algorithms for the partial Procrustes problem, Department of Industrial Technology, Mid Sweden University s-891 18, Report 1995:27, Ornskoldsvik, Sweden 1995.

    Google Scholar 

  • Gullikson, M. and Söderkvist, I. (1995): Surface fitting and parameter estimation with nonlinear least squares, Zeitschrift für Vermessungswesen 25} (1989) 611-636.

    Google Scholar 

  • Gullikson, M., Soederkvist, I. and P.A. Wedin (1997): Algorithms for constrained and weighted nonlinear least-squares, Siam J. Optim. 7 (1997), 208-224

    Google Scholar 

  • Gullikson, M. and P.A. Wedin (2000): The use and properties of Tikhonov filter matrices, SIAM J. Matrix Anal. Appl. 22 (2000), 276-281

    Google Scholar 

  • Gumbel, E.J., Greenwood, J.A. and D. Durand (1953): The circular normal distribution: theory and tables, J. Am. Statist. Ass. 48 (1953), 131-152

    Google Scholar 

  • Gundlich, B. and Koch, K.R. (2002): Confidence regions for GPS baselines by Bayesian statistics. J Geod 76:55-62

    Google Scholar 

  • Guolin, L. (2000): Nonlinear curvature measures of strength and nonlinear diagnosis, Allgemeine Vermessungsnachrichten 107 (2000), 109-111

    Google Scholar 

  • Gupta, A.K. and D.G. Kabe (1997): Linear restrictions and two step multivariate least squares with aplications, Statistics & Probability Letters 32 (1997), 413-416

    Google Scholar 

  • Gupta, A.K. and D.K. Nagar (1998): Quadratic forms in disguised matrix T-variate, Statistics 30 (1998), 357-374

    Google Scholar 

  • Gupta, S.S. (1963): Probability integrals of multivariate normal and multivariate t1, Annals of Mathematical Statistics 34 (1963), 792-828

    Google Scholar 

  • Gurtin, M.E. (1981): An introduction to continuum mechanics, Academic Press, New York

    Google Scholar 

  • Guttman, I. (1970): Statistical tolerance regions, Griffin, London 1970

    Google Scholar 

  • Guttman, L. (1946): Enlargement methods for computing the inverse matrix, Ann. Math. Statist. 17 (1946), 336-343

    Google Scholar 

  • Guttorp, P. and Sampson, P. (1994). Methods for estimating heterogeneous spatial covariance. In Patil, G. and Rao, C. eds., Handbook of Statistics, vol. 12, pp. 661-689.

    Google Scholar 

  • Guu, S.M., Lur, Y.Y. and C.T. Pang (2001): On infinite products of fuzzy matrices, SIAM J. Matrix Anal. Appl. 22 (2001), 1190-1203

    Google Scholar 

  • Haantjes, J. (1937): Conformal representations of an n-dimensional Euclidean space with a non-definite fundamental form on itself, in: Nederl. Akademie van Wetenschappen, Proc. Section of Sciences, Vol. 40, 700-705, Noord-Hollandsche Uitgeversmaatschappij, Amsterdam 1937

    Google Scholar 

  • Haantjes, J. (1940): Die Gleichberechtigung gleichförmig beschleunigter Beobachter für die elektromagnetischen Erscheinungen, in: Nederl. Akademie van Wetenschappen, Proc. Section of Sciences, Vol. 43, 1288-1299, Noord-Hollandsche Uitgeversmaatschappij, Amsterdam 1940

    Google Scholar 

  • Habermann, S.J. (1996): Advanced statistics, volmue I: description of populations, Springer-Verlag, Heidelberg Berlin New York 1996

    Google Scholar 

  • Hadamard, J. (1893): Leson sur la propagation des ondes et les quations de l’hydrodynamique, Paris 1893, reprint Chelsea Publ., New York 1949

    Google Scholar 

  • Hadamard, J. (1899): Theorem sur les series entieres, Acta Math. 22 (1899), 1-28

    Google Scholar 

  • Hadamard, J. Lecons sur la propagation des ondes et les équations de l’hydrodynamique, Paris 1893, reprint Chelsea Publ., New York 1949

    Google Scholar 

  • Härdle, W., Liang, H. and J. Gao (2000): Partially linear models, Physica-Verlag, Heidelberg 2000

    Google Scholar 

  • Hager, W.W. (1989): Updating the inverse of a matrix, SIAM Rev. 31 (1989), 221-239

    Google Scholar 

  • Hager, W.W. (2000): Iterative methods for nearly singular linear systems, SIAM J. Sci. Comput. 22 (2000), 747-766

    Google Scholar 

  • Hahn, M. and R. Bill (1984): Ein Vergleich der L1- und L2-Norm am Beispiel. Helmerttransformation, AVN 11-12, pp. 440, 1984

    Google Scholar 

  • Hahn, W. and P. Weibel (1996): Evolutionäre Symmetrietheorie, Wiss. Verlagsgesellschaft, Stuttgart 1996

    Google Scholar 

  • Hajos G. (1970): Einfiihrung in die Geometrie. BSB B. G. Teubner, Leipzig.

    Google Scholar 

  • Hald, A. (1998): A history of mathematical statistics from 1750 to 1930, J. Wiley, New York 1998

    Google Scholar 

  • Hald, A. (2000): The early history of the cumulants and the Gram-Charlier series, International Statistical Review 68 (2000), 137-153

    Google Scholar 

  • Halmos, P.R. (1946): The theory of unbiased estimation, Ann. Math. Statist. 17 (1946), 34-43

    Google Scholar 

  • Hamilton, W.C. (1964): Statistics in Physical Science. The Ronald Press Company, New-York

    Google Scholar 

  • Hammer, E. (1896): Zur graphischen Ausgleichung beim trigonometrischen Einschneiden von Punkten, Optimization methods and softwares 5} (1995) 247-269.

    Google Scholar 

  • Hammersley, J.M. (1950): On estimating restricted parameters, J. R. Statist. Soc. B12 (1950), 192

    Google Scholar 

  • Hampel, F.R. (1971) A general qualitative definition of robustness, Ann. Math. Phys. Statist. 42 (1971) DOI 10.1214/aoms/1177693054

    Google Scholar 

  • Hampel, F.R. (1973): Robust estimation: a condensed partial survey, Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete 27 (1973), 87-104

    Google Scholar 

  • Hampel, F.R. (1974): The influence curve and its role in robust estimation, J. Ann. Stat. Assoc., 69 (1974), pp. 383-393

    Google Scholar 

  • Hampel, F.R., Ronchetti, E.M., Rousseeuw, P.J. and W.A. Stahel (1986): Robust statistics, J. Wiley, New York 1986

    Google Scholar 

  • Han, S. (1995): Ambiguity resolution techniques using integer least squares estimation for rapid static or kinematic positioning. In: Symposium Satellite Navigation Technology: 1995 and beyond, Brisbane, Australia, 10 p

    Google Scholar 

  • Han, S. C., Kwon, J. H. and Jekeli, C. (2001): Accurate absolute GPS positioning through satellite clock error estimation, Journal of Geodesy 75} (2001) 33-43.

    Google Scholar 

  • Han, Y.Y. (1992): Geometric analysis of finite strain tensors in tectonodeformation mechanics, Se. China, B35, 102-116

    Google Scholar 

  • Hanagal, D.D. (1996): UMPU tests for testing symmetry and stress-passing in some bivariate exponential models, Statistics 28 (1996), 227-239

    Google Scholar 

  • Hand, D.J. and M.J. Crowder (1996): Practical longitudinal data analysis, Chapman and Hall, Boca Raton 1996

    Google Scholar 

  • Hand, D.J., Daly, F., McConway, K., Lunn, D. and E. Ostrowski (1993): Handbook of small data sets, Chapman and Hall, Boca Raton 1993

    Google Scholar 

  • Hand, D.J. and C.C. Taylor (1987): Multivariate analysis of variance and repeated measures, Chapman and Hall, Boca Raton 1987

    Google Scholar 

  • Handl, A. (2010): Multivariate Analysemethoden. Theorie und Praxis multivariater Verfahren unter besonderer Berücksichtigung von S-PLUS, Springer-Verlag, Heidelberg Berlin New York

    Google Scholar 

  • Hanke, M. (1991): Accelerated Landweber iterations for the solution of ill-posed equations, Numer. Math. 60 (1991), 341-375

    Google Scholar 

  • Hanke, M. and P.C. Hansen (1993): Regularization methods for large-scale problems, Surveys Math. Indust. 3 (1993), 253-315

    Google Scholar 

  • Hanselman, D. and Littlefield, B. (1997): The student edition of Matlab, Prentice-Hall, New Jersey 1997.

    Google Scholar 

  • Hansen, E. (1992): Global Optimization Using Interval Analysis, Marcel Dekker, New York

    Google Scholar 

  • Hansen, P.C. (1987): The truncated SVD as a method for regularization, BIT 27 (1987), 534-553

    Google Scholar 

  • Hansen, P.C. (1990): The discrete Picard condition for discrete ill-posed problems, BIT 30 (1990), 658-672

    Google Scholar 

  • Hansen, P.C. (1990): Truncated singular value decomposition solutions to discrete ill-posed problems with ill-determined numerical rank, SIAM J. Sci. Statist. Comput. 11 (1990), 503-518

    Google Scholar 

  • Hansen, P.C. (1994): Regularization tools: a Matlab package for analysis and solution of discrete ill-posed problems, Numer. Algorithms 6 (1994), 1-35

    Google Scholar 

  • Hansen, P.C. (1995): Test matrices for regularization methods, SIAM J. Sci. Comput. 16 (1995), 506-512

    Google Scholar 

  • Hansen, P.C. (1998): Rank-deficient and discrete ill-posed problems, SIAM, Philadelphia 1998

    Google Scholar 

  • Hanssen, R.F. (2001): Radar infriometry, Kluwer Academic Pule, Dordecht-Boston-London 2001

    Google Scholar 

  • Hanssen, R.F., Teunissen, P.J.G. and Joosten, P. (2001): Phase ambiguity resolution for stacked radar interferometric data. In: Proc KIS2001, international symposium on kinematic systems in geodesy, Geomatics and Navigation, Banff, pp 317-320

    Google Scholar 

  • Haralick, R.M., Lee, C., Ottenberg, K., and Nölle, M. (1991): Analysis and Solution of the Three Point Perspective Pose Estimation Problem, Proc. IEEE Org. on Computer Vision and Pattern Recognition, pp. 592-598, 1991.

    Google Scholar 

  • Haralick, R.M., Lee, C., Ottenberg, K., and Nölle, M. (1994): Review and Analysis of Solution of the Three Point Perspective Pose Estimation Problem, International Journal of Computer Vision 13 3} (1994) 331-356.

    Google Scholar 

  • Hardtwig, E. (1968): Fehler- und Ausgleichsrechung, Bibliographisches Institut, Mannheim 1968

    Google Scholar 

  • Harley, B.I. (1954): A note on the probability integral of the correlation coefficient, Biometrika, 41, 278-280

    Google Scholar 

  • Harley, B.I. (1956): Some properties of an angular transformation for the correlation coefficient, Biometrika 43 (1956), 219-223

    Google Scholar 

  • Harris, B. (1967): Spectral analysis of time series, New York 1967

    Google Scholar 

  • Harter, H.L. (1964): Criteria for best substitute interval estimators with an application to the normal distribution, J. Am. Statist. Ass. 59 (1964), 1133-1140

    Google Scholar 

  • Harter, H.L. (1974/75): The method of least squares and some alternatives (five parts) International Statistics Review 42 (1974), 147-174, 235-264, 43 (1975), 1-44, 125-190, 269-278

    Google Scholar 

  • Harter, H.L. (1977): The non-uniqueness of absolute values regression, Commun. Statist. Simul. Comput. 6 (1977), 829-838

    Google Scholar 

  • Hartley, H.O. and J.N.K. Rao (1967): Maximum likelihood estimation for the mixed analysis of variance model, Biometrika 54 (1967), 93-108

    Google Scholar 

  • Hartinger, H. and Brunner, F.K. (1999): Variances of GPS Phase Observations: The SIGMA- Model. GPS Solution 2/4: 35-43, 1999

    Google Scholar 

  • Hartman, P. and G.S. Watson (1974): Normal distribution functions on spheres and the modified Bessel function, Ann.Prob. 2 (1974), 593-607

    Google Scholar 

  • Hartmann, C., Van Keer Berghen, P., Smeyersverbeke, J. and D.L. Massart (1997): Robust orthogonal regression for the outlier detection when comparing two series of measurement results, Analytica Chimica Acta 344 (1997), 17-28

    Google Scholar 

  • Hartung, J. (1978): Zur Verwendung von Vorinformation in der Regressionsanalyse, Tech. report, Inst. für Angew. Statistik, Universität Bonn, Germany 1978

    Google Scholar 

  • Hartung, J. (1981): Non-negative minimum biased invariant estimation in variance componet models, Annals of Statistics 9(1981), 278-292

    Google Scholar 

  • Hartung, J. (1982): Statistik, pp. 611-613, Oldenburg Verlag, Miinchen

    Google Scholar 

  • Hartung, J. (1999): Ordnungserhaltende positive Varianzschätzer bei gepaarten Messungen ohne Wiederholungen, Allg. Statistisches Archiv 83 (1999), 230-247

    Google Scholar 

  • Hartung, J. and B. Voet (1986): Best invariant unbiased estimators for the mean squared error of variance component estimators, J. Am. Statist. Ass. 81 (1986), 689-691

    Google Scholar 

  • Hartung, J. and Elpelt, B. (1989): Multivariate Statistik, Oldenbourg Verlag, München 1989

    Google Scholar 

  • Hartung, J., Elpelt, B. and K.H. Klösener (1995): Statistik, Oldenbourg Verlag, München 1995

    Google Scholar 

  • Hartung, J. and K.H. Jöckel (1982): Zuverlässigkeits- und Wirtschaftlichkeitsüberlegungen bei Straßenverkehrssignalanlagen, Qualität und Zuverlässigkeit 27 (1982), 65-68

    Google Scholar 

  • Hartung, J. and D. Kalin (1980): Zur Zuverlässigkeit von Straßenverkehrssignalanlagen, Qualität und Zuverlässigkeit 25 (1980), 305-308

    Google Scholar 

  • Hartung, J. and H.J. Werner (1980): Zur Verwendung der restringierten Moore-Penrose-Inversen beim Testen von linearen Hypothesen, Z. Angew. Math. Mechanik 60 (1980), T344-T346

    Google Scholar 

  • Harvey, A.C. (1993): Time series models, 2nd ed., Harvester Wheatsheaf, New York 1993

    Google Scholar 

  • Harville, D.A. (1976): Extension of the Gauss-Markov theorem to include the estimation of random effects, Annals of Statistics 4 (1976), 384-395

    Google Scholar 

  • Harville, D.A. (1977): Maximum likelihood approaches to variance component estimation and to related problems, J. Am. Statist. Ass. 72 (1977), 320-339

    Google Scholar 

  • Harville, D.A. (1997): Matrix algebra from a statistician’s perspective, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Harville, D.A. (2001): Matrix algebra: exercises and solutions, Springer-Verlag, Heidelberg Berlin New York 2001

    Google Scholar 

  • Haselett, J. (1989): Space time modeling in meterology- a review, Bul. Int. Statist. 53 (1989) 229-246

    Google Scholar 

  • Hasselman, K., Munk, W. and MacDonald, G. (1963): Bispectrum of ocean waves in: M. Rosenblatt: Timeseries analysis, New York 1963

    Google Scholar 

  • Hassibi, A. and S. Boyd (1998): Integer parameter estimation in linear models with applications to GPS, JEEE Trans. on Signal Processing 46 (1998), 2938-2952

    Google Scholar 

  • Haslett, J. (1989): Space time modeling in meteorology - a review, Bull. lnt. Stat. lnst., 53, 229-246, 1989

    Google Scholar 

  • Haslett, J. and K. Hayes (1998): Residuals for the linear model with general covariance structure, J. Roy. Statist. Soc. B60 (1998), 201-215

    Google Scholar 

  • Hastie, T.J. and R.J. Tibshirani (1990): Generalized additive models, Chapman and Hall, Boca Raton 1990

    Google Scholar 

  • Hauser, M.A., Pötscher, B.M. and E. Reschenhofer (1999): Measuring persistence in aggregate output: ARMA models, fractionally integrated ARMA models and nonparametric procedures, Empirical Economics 24 (1999), 243-269

    Google Scholar 

  • Haussdorff, F. (1901): Beiträge zur Wahrscheinlichkeitsrechnung, Königlich Sächsische Gesellschaft der Wissenschaften zu Leipzig, berichte Math. Phys. Chasse 53 (1901), 152-178

    Google Scholar 

  • Hawkins, D.M. (1993): The accuracy of elemental set approximation for regression, J. Am. Statist. Ass. 88 (1993), 580-589

    Google Scholar 

  • Hayakawa, T. and Puri, M.L. (1985): Asymptotic distributions of likelihood ratio criterion for testing latent roots and latent vectors of a covariance matrix under an elliptical population, Biometrica, 72, 331-338

    Google Scholar 

  • Hayes, K. and J. Haslett (1999): Simplifying general least squares, American Statistician 53 (1999), 376-381

    Google Scholar 

  • O. Hazlett: On the theory of associative division algebras, Trans. American Math. Soc. 18 (1917) 167-176

    Google Scholar 

  • He, K. (1995): The robustness of bootstrap estimator of variance, J. Ital. Statist. Soc. 2 (1995), 183-193

    Google Scholar 

  • He, X. (1991): A local breakdown property of robust tests in linear regression, J. Multivar. Anal. 38, 294-305, 1991

    Google Scholar 

  • He, X., Simpson, D.G. and Portnoy, S.L. (1990): Breakdown robustness of tests, J. Am. Statist. Ass. 85, 446-452, 1990

    Google Scholar 

  • Healy, D.M. (1998): Spherical Deconvolution, J. Multivar. Anal. 67 (1998), 1-22

    Google Scholar 

  • Heck, B. (1981): Der Ein uß einzelner Beobachtungen auf das Ergebnis einer Ausgleichung und die Suche nach Ausreißern in den Beobachtungen, Allgemeine Vermessungsnachrichten 88 (1981), 17-34

    Google Scholar 

  • Heck, B.(1987): Rechenverfahren und Auswertemodelle der Landesvermessung, Wichmann Verlag, Karlsruhe 1987.

    Google Scholar 

  • Heideman, M.T., Johnson, D.H. and C.S. Burrus (1984): Gauss and the history of the fast Fourier transform, JEEE ASSP Magazine 1 (1984), 14-21

    Google Scholar 

  • Heiligers, B. (1994): E-optimal designs in weighted polynomial regression, Ann. Stat. 22 (1994), 917-929

    Google Scholar 

  • Hein, G. (1986): Integrated geodesy. In: Suenkel H (ed), Mathematical and numerical techniques in physical geodesy. Lecture Notes in Earth Sciences vol. 7. Springer, Heidelberg, pp. 505-548

    Google Scholar 

  • Hein, G. and Landau, H. (1983): A contribution to 3D - operational geodesy, Part 3: Opera - a multi-purpose program for operational adjustment of geodetic observations of terrestrial type. Deutsche Geodätische Kommission, 8ayerische Akademie der Wissenschaften, Report B 264, München

    Google Scholar 

  • Heine, V. (1955): Models for two-dimensional stationary stochastic processes, Biometrika 42 (1955), 170-178

    Google Scholar 

  • Heinrich, L. (1985): Nonuniform estimates, moderate and large derivations in the central limit theorem for m-dependent random variable, Math. Nachr. 121 (1985), 107-121

    Google Scholar 

  • Heitz, S. (1967): Habilitationsschrift, Bonn 1967

    Google Scholar 

  • Hekimoglu, S. (1998): Application of equiredundancy design to M-estimation, Journal of Surveying Engineering 124 (1998), 103-124

    Google Scholar 

  • Hekimoglu, S. and M. Berber (2003): Effectiveness of robust methods in heterogeneous linear models, Journal of Geodesy 76 (2003), 706-713

    Google Scholar 

  • Helmert, F.R. (1875): Über die Berechnung des wahrscheinlichen Fehlers aus einer endlichen Anzahl wahrer Beobachtungsfehler, Z. Math. U. Physik 20 (1875), 300-303

    Google Scholar 

  • Helmert, F.R. (1876): Diskussion der Beobachtungsfehler in Koppes Vermessung für die Gotthardtunnelachse, Z. Vermessungswesen 5 (1876), 129-155

    Google Scholar 

  • Helmert, F.R. (1876): Die Genauigkeit der Formel von Peters zur Berechnung der wahrscheinlichen Beobachtungsfehler direkter Beobachtungen gleicher Genauigkeit, Astronomische Nachrichten 88 (1876), 113-120

    Google Scholar 

  • Helmert, F.R. (1876): Die Genauigkeit der Formel von Peters zur Berechnung des wahrscheinlichen Fehlers direkter Beobachtungen gleicher Genauigkeit, Astron. Nachrichten 88 (1976), 113-132

    Google Scholar 

  • Helmert, F.R. (1876a): Über die Wahrscheinlichkeit der Potenzsummen der Beobachtungsfehler, Z. Math. U. Phys. 21 (1876), 192-218

    Google Scholar 

  • Helmert, F.R. (1907): Die Ausgleichungsrechnung nach der Methode der kleinsten Quadrate, mit Anwendungen auf die Geodäsie, die Physik und die Theorie der Messinstrumente, B.G. Teubner, Leipzig Berlin 1907

    Google Scholar 

  • Helmert, F.R. (1924): Die Ausgleichungsrechnung nach der. Methode der Kleinsten Quadrate. 3. Auflage. Teubner. Leipzig. 1924

    Google Scholar 

  • Henderson, H.V. (1981): The vec-permutation matrix, the vec operator and Kronecker products: a review, Linear and Multilinear Algebra 9 (1981), 271-288

    Google Scholar 

  • Henderson, H.V. and S.R. Searle (1981): Vec and vech operators for matrices, with some uses in Jacobians and multivariate statistics

    Google Scholar 

  • Henderson, H.V. and S.R. Searle (1981): On deriving the inverse of a sum of matrices, SIAM Review 23 (1981), 53-60

    Google Scholar 

  • Henderson, H.V., Pukelsheim, F. and S.R. Searle (1983): On the history of the Kronecker product, Linear and Multilinear Algebra 14 (1983), 113-120

    Google Scholar 

  • Hendriks, H. and Z. Landsman (1998): Mean location and sample mean location on manifolds: Asymptotics, tests, confidence regions, J. Multivar. Anal. 67 (1998), 227-243

    Google Scholar 

  • Hengst, M. (1967): Einfuehrung in die Mathematische Statistik und ihre Anwendung, Bibliographisches Institut, Mannheim 1967

    Google Scholar 

  • Henrici, P. (1962): Bounds for iterates, inverses, spectral variation and fields of values of non-normal matrices, Numer. Math. 4 (1962), 24-40

    Google Scholar 

  • Hensel, K. (1968): Leopold Kronecker’s Werke, Chelsea Publ. Comp., New York 1968

    Google Scholar 

  • Herzberg, A.M. and A.V. Tsukanov (1999): A note on the choice of the best selection criterion for the optimal regression model, Utilitas Mathematica 55 (1999), 243-254

    Google Scholar 

  • Hesse, K. (2003): Domain decomposition methods in multiscale geopotential determination from SST and SGG, Berichte aus der Mathematik, Shaker Verlag, Aachen 2003

    Google Scholar 

  • Hetherington, T.J. (1981): Analysis of directional data by exponential models, Ph.D. Thesis, University of California, Berkeley 1981

    Google Scholar 

  • Heuel, S. and Forstner, W. (2001): Matching, Reconstructing and Grouping 30 Lines From Multiple Views Using Uncertain Projective Geometry. CVPR 2001, Posters Session 4.2001, S. 721.

    Google Scholar 

  • Heyde, C.C. (1997): Quasi-likelihood and its application. A general approach to optimal parameter estimation, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Hickernell, F.J. (1999): Goodness-of-fit statistics, discrepancies and robust designs, Statistics and Probability Letters 44 (1999), 73-78

    Google Scholar 

  • Hida, T. and Si, S. (2004): An innovation approach to random fields: application of white noice theory, World Scientific 2004

    Google Scholar 

  • Higham, N.J. and F. Tisseur (2000): A block algorithm for matrix 1-norm estimation, with an application to 1-norm pseudospectra, SIAM J. Matrix Anal. Appl. 21 (2000), 1185-1201

    Google Scholar 

  • Hinze, J.O. (1975): Turbulence, Mc Graw Hill, New York 1975

    Google Scholar 

  • Heikkinen, M. (1982): Geschlossene Formeln zur Berechnung räumlicher geodätischer Koordinaten aus rechtwinkligen Koordinaten, Zeitschrift für Vermessungswesen 107} (1982) 207-211.

    Google Scholar 

  • Hein, G. (1982a): A contribution to 3D-operational Geodesy (Principles and observation equations of terrestrial type), DGK Reihe B, Heft Nr. 258/VII pp. 31-64.

    Google Scholar 

  • Hein, G. (1982b): A contribution to 3D-operational Geodesy part 2, DGK Reihe B, Heft Nr. 258/VII pp. 65-85.

    Google Scholar 

  • Heiskanen, W. A. and Moritz, H. (1976): Physical Geodesy, Freeman and Company, London 1976.

    Google Scholar 

  • Hemmleb, G. (1986): Vor hundert Fahren wurde Friedvich Robert Helmert Direkto des Pvenssischen Geodetischen Institutes, Vermessungstechnik 34, (1986), pp. 178

    Google Scholar 

  • Hide, R. (2010): A path od discovery in geophysical fluid dynamics, Royal Astron. Soc., Astronomy and Geophysics, 51 (2010) 4.16-4.23

    Google Scholar 

  • Hinde, J. (1998): Overdispersion: models and estimation, Comput. Stat. & Data Anal. 27 (1998), 151-170

    Google Scholar 

  • Hinkley, D. (1979): Predictive likelihood, Ann. Statist. 7 (1979), 718-728

    Google Scholar 

  • Hinkley, D., Reid, N. and E.J. Snell (1990): Statistical theory and modelling, Chapman and Hall, Boca Raton 1990

    Google Scholar 

  • Hiroven, R.A.: a) Publ. Inst. Geod. Photogr. Cart., Ohio State University Report No.4, 1956; b) Ann. Acad. Scient. 1962.

    Google Scholar 

  • Hirvonen, R.A. (1971): Adjustment by least squares in geodesy and photogrammetry, Frederick Ungar Publ. Co., New York

    Google Scholar 

  • Hirvonen, R.A. and Moritz, H. (1963): Practical computation of gravity at high altitudes, Institute of Geodesy, Photogrammetry and Cartography, Ohio State University, Report No. 27, Ohio 1963.

    Google Scholar 

  • Hjorth, J.S.U. (1993): Computer intensive statistical methods, Chapman and Hall, Boca Raton 1993

    Google Scholar 

  • Ho, L.L. (1997): Regression models for bivariate counts, Brazilian J. Probability and Statistics 11 (1997), 175-197

    Google Scholar 

  • Hoaglin, D.C. and R.E. Welsh (1978): The Hat Matrix in regression and ANOVA, The American Statistician 32 (1978), 17-22

    Google Scholar 

  • Hodge, W.V.D. (1941): Theory and applications of harmonic integrals, Cambridge University Press, Cambridge 1941

    Google Scholar 

  • Hodge, W.V.D. and D. Pedoe (1968): Methods of algebraic geometry, I, Cambridge University Press, Cambridge 1968

    Google Scholar 

  • Hoel, P.G. (1965): Minimax distance designs in two dimensional regression, Ann. Math. Statist. 36 (1965), 1097-1106

    Google Scholar 

  • Hoel, P.G., S.C. Port and C.J. Stone (1972): Introduction to stochastic processes, Houghton Mifflin Publ., Boston 1972

    Google Scholar 

  • Hoerl, A.E. and Kennard, R.W. (1970): Ridge regression: biased estimation for nonorthogonal problems, Technometrics 12 (1970), 55-67

    Google Scholar 

  • Hoerl, A.E. and R.W. Kennard (2000): Ridge regression: biased estimation for nonorthogonal problems, Technometrics 42 (2000), 80-86

    Google Scholar 

  • Höpke, W. (1980): Fehlerlehre und Ausgleichungsrechnung, De Gruyter, Berlin 1980

    Google Scholar 

  • Hoffmann, K. (1992): Improved estimation of distribution parameters: Stein-type estimators, Teubner-Texte zur Mathematik, Stuttgart/Leipzig 1992

    Google Scholar 

  • Hofmann, B. (1986): Regularization for applied inverse and ill-posed problems, Teubner Texte zur Mathematik 85, Leipzig 1986

    Google Scholar 

  • Hofman-Wellenhof, B., Lichtenegger, H. and Collins, J. (1994): Global Positioning System: Theory and practice, Springer-Verlag, Wien 1994.

    Google Scholar 

  • Hofmann-Wellenhof, B., Moritz, H. (2005): Physical Geodesy, Springer Wien, New York

    Google Scholar 

  • Hogg, R.V. (1972): Adaptive robust procedures: a partial review and some suggestions for future applications and theory, J. Am. Statist. Ass. 43 (1972), 1041-1067

    Google Scholar 

  • Hogg, R.V. and R.H. Randles (1975): Adaptive distribution free regression methods and their applications, Technometrics 17 (1975), 399-407

    Google Scholar 

  • Hong, C.S. and H.J. Choi (1997): On L1 regression coefficients, Commun. Statist. Simul. Comp. 26 (1997), 531-537

    Google Scholar 

  • Hora, R.B. and R.J. Buehler (1965): Fiducial theory and invariant estimation, Ann. Math. Statist. 37 (1965), 643-656

    Google Scholar 

  • Horaud, R., Conio, B. and Leboulleux, O. (1989): An Analytical Solution for the Perspective 4-Point Problem, Computer Vision, Graphics and Image Processing 47} (1989) 33-44.

    Google Scholar 

  • Horn, R.A. (1989): The Hadamard product, in Matrix Theory and Applications, C.R. Johnson, ed., Proc. Sympos. Appl. Math. 40 (1989), 87-169

    Google Scholar 

  • Horn, R.A. and C.R. Johnson (1990): Matrix analysis, Cambridge University Press, Cambridge 1990

    Google Scholar 

  • Horn, R.A. and C.R. Johnson (1991): Topics on Matrix analysis, Cambridge University Press, Cambridge 1991

    Google Scholar 

  • Horn, S.D. and R.A. Horn (1975): Comparison of estimators of heteroscedastic variances in linear models, Am. Stat. Assoc., 70, 872-879.

    Google Scholar 

  • Hornoch, A.T. (1950): über die Zurückführung der Methode der kleinsten Quadrate auf das Prinzip des arithmetischen Mittels, Österr. Zeitschrift für Vermessungswesen 38 (1950), 13-18

    Google Scholar 

  • Hoschek, J. and Lasser, D. (1992): Grundlagen der geometrischen Datenverarbeitung. B.G. Teubner, Stuttgart.

    Google Scholar 

  • Hosking, J.R.M. and J.R. Wallis (1997): Regional frequency analysis. An approach based on L-moments, Cambridge University Press 1997

    Google Scholar 

  • Hosoda, Y. (1999): Truncated least-squares least norm solutions by applying the QR decomposition twice, trans. Inform. Process. Soc. Japan 40 (1999), 1051-1055

    Google Scholar 

  • Hotelling, H. (1931): The generalization of Student’s ratio, Ann. Math. Stat., 2, 360-378.

    Google Scholar 

  • Hotelling, H. (1933): analysis of a complex of statistical variables into principal components, J. Educ. Psych., 24, 417-441, 498-520.

    Google Scholar 

  • Hotelling, H. (1951): A generalized T test and measure of multivariate dispersion, Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability, University of California Press, Berkeley and Los Angeles, 23-41.

    Google Scholar 

  • Hotelling, H. (1953): New light on the correlation coefficient and its transform, J. Roy. Statist. Soc. B15 (1953), 225-232

    Google Scholar 

  • Householder, A.S. (1958): Unitary Triangulation of a Nonsymmetric Matrix. J. Assoc. Compo Mach., Vol. 5, 339.

    Google Scholar 

  • Howind, J., Böhringer, M., Mayer, M., Kutterer, H., Lindner, K.v. and Heck, B (2000): Korrelationsstudien bei GPS-Phasenbeobachtungen. In: Dietrich, R. (ed): Deutsche Beiträge zu GPS-Kampagnen des Scientific Committee on Antartic Research (SCAR) 1995-1998, Deutsche Geodätische Kommission B310: 201-205, Munich, 2000.

    Google Scholar 

  • Hoyle, M.H. (1973), Transformations - an introduction and a bibliography, Int. Statist. Review 41 (1973), 203-223

    Google Scholar 

  • Hsu, J.C. (1996): Multiple comparisons, Chapman and Hall, Boca Raton 1996

    Google Scholar 

  • Hsu, P.L. (1938a): Notes on Hotelling’s, generalized T, Ann. Math. Stat., 9, 231-243

    Google Scholar 

  • Hsu, P.L. (1938b): On the best unbiassed quadratic estimate of the variance, Statist. Res. Mem., Univ. London 2 (1938), 91-104.

    Google Scholar 

  • Hsu, P.L. (1940a): On generalized analysis of variance (1), Biometrika, 31, 221-237

    Google Scholar 

  • Hsu, P.L. (1940s): An algebraic derivation of the distribution of rectangular coordinates, Proc. Edinburgh Math. Soc. 6 (1940), 185-189

    Google Scholar 

  • Hsu, R. (1999): An alternative expression for the variance factors in using Iterated Almost Unbiased Estimation, Journal of Geodesy 73 (1999), 173-179

    Google Scholar 

  • Hsu, Y.S., Metry, M.H. and Y.L. Tong (1999): Hypotheses testing for means of dependent and heterogeneous normal random variables, J. Statist. Planning and Inference 78 (1999), 89-99

    Google Scholar 

  • Huang, J.S. (1999): Third-order expansion of mean squared error of medians, Statistics & Probability Letters 42 (1999), 185-192

    Google Scholar 

  • Hüber, P.J. (1964): Robust estimation of a location parameter, Annals Mathematical Statistics 35 (1964), 73-101

    Google Scholar 

  • Hüber, P.J. (1972): Robust statistics: a review, Annals Mathematical Statistics 43 (1972), 1041-1067

    Google Scholar 

  • Hüber, P.J. (1981): Robust Statistics, J. Wiley, New York 1981

    Google Scholar 

  • Hüber, P.J. (1984): Finite sample breakdown of M- and P- estimators, Ann. Stat., 12 (1984), pp. 119-126

    Google Scholar 

  • Hüber, P.J. (1985): Projection persuit, Annals of Statistics 13, (1984), pp. 435-475

    Google Scholar 

  • Huckeman, S., Hotz, T. and A. Munk (2007): Intrinsic shape analysis: geodesic PCA for Riemannian manifolds modulo isometric Lie group actions, Statistica Sinicia 2007

    Google Scholar 

  • Huckeman, S. (2009): On the meaning of the mean slope, Digital Signal Processing 16 (2009) 468-478

    Google Scholar 

  • Huckeman, S. (2010): On the meaning of mean slope, arXiv. (1002.07950.) (stat. ME), preprint 2010

    Google Scholar 

  • Huet, S., A. Bouvier, M.A. Gruet and E. Jolivet (1996): Statistical tools for nonlinear regression, Springer-Verlag, Heidelberg Berlin New York 1996

    Google Scholar 

  • Huffel, van S. and H. Zha (1991a): The restricted total least squares problem: Formulation, algorithm, and properties, SIAM J. Matrix Anal. Appl. 12 (1991), 292-309

    Google Scholar 

  • Huffel, van S. and H. Zha (1991b): The total least squares problem, SIAM J. Matrix Anal. Appl. 12 (1991), 377-407

    Google Scholar 

  • Huffel, van S. and H. Zha (1993): The total least square problem, in: C.R. Rao (ed.), Handbook of Statistics, Vol. 2, pp. 337-408, North Holland, Amsterdam-London-New York-Tokyo 1993

    Google Scholar 

  • Hugentobler, U. and Dach, R. and Fridez, P. (2004): Bernese GPS Software Version 5.0. University of Bern, 2004.

    Google Scholar 

  • Humak K M. S. (1977): Statistische Methoden der Modellbildung Band I. Statistische Inferenz für lineare Parameter. Akademie-Verlag, Berlin, 1977.

    Google Scholar 

  • Hunter, D.B. (1995): The evaluation of Legendre functions of the second kind, Numerical Algorithms 10 (1995), 41-49

    Google Scholar 

  • Huwang, L. and Y.H.S. Huang (2000): On errors-in-variables in polynomical regression-Berkson case, Statistica Sinica 10 (2000), 923-936

    Google Scholar 

  • Hwang, C. (1993): Fast algorithm for the formation of normal equations in a least-squares spherical harmonic analysis by FFT, manuscripta geodaetica 18 (1993), 46-52

    Google Scholar 

  • Ibragimov, F.A. and R.Z. Kasminskii (1981): Statistical estimation, asymptotic theory, Springer-Verlag, Heidelberg Berlin New York 1981

    Google Scholar 

  • ICD (2000): Interface Control Document, Navstar GPS Space Segment/Navigation User Interfaces, ICDGPS-200C

    Google Scholar 

  • Ihorst, G. and G. Trenkler (1996): A general investigation of mean square error matrix superiority in linear regression, Statistica 56 (1996), 15-23

    Google Scholar 

  • Imhof, L. (2000): Exact designs minimizing the integrated variance in quadratic regression, Statistics 34 (2000), 103-115

    Google Scholar 

  • Imhof, J.P. (1961): Computing the distribution of quadratic forms in normal variables, Biometrika 48 (1961), 419-426

    Google Scholar 

  • Imon, A.H.M.R. (2002): On deletion residuals. Calcutta Stat. Assoc. Bull. 53, 209-210 (2002), 65-79.

    Google Scholar 

  • Inda, de M.A. et al. (1999): Parallel fast Legendre transform, proceedings of the ECMWF Workshop Towards TeraComputing - the Use of Parallel Processors in Meteorology”, Worls Scientific Publishing Co 1999

    Google Scholar 

  • Ireland, K. and Rosen, M. (1990): A classical introduction to modern number theory, Springer-Verlag, New York 1990.

    Google Scholar 

  • Irle, A. (1990): Sequentialanalyse: Optimale sequentielle Tests, Teubner Skripten zur Mathematischen Stochastik. Stuttgart 1990

    Google Scholar 

  • Irwin, J.O. (1937): On the frequency distribution of the means of samples from a population having any law of frequency with finite moments with special reference to Pearson’s Type II, Biometrika 19 (1937), 225-239

    Google Scholar 

  • Isham, V. (1993): Statistical aspects of chaos, in: Networks and Chaos, Statistical and Probabilistic Aspects (ed. D.E. Barndorff-Nielsen et al.), 124-200, Chapman and Hall, London 1993

    Google Scholar 

  • Ishibuchi, H., Nozaki, K. and Tanaka H. (1992): Distributed representation of fuzzy rules and its application to pattern classification, Fuzzy Sets and Systems 52 (1992), 21-32

    Google Scholar 

  • Ishibuchi, H., Nozaki, K., Yamamoto, N. and Tanaka, H. (1995): Selecting fuzzy if-then rules for classification problems using genetic algorithms, IEEE Transactions on Fuzzy Systems 3 (1995), 260-270

    Google Scholar 

  • Ishibuchi, H. and Murata, T. (1997): Minimizing the fuzzy rule base and maximizing its performance by a multi-objective genetic algorithm, in: Sixth FUZZ-IEEE Conference, Barcelona 1997, 259-264

    Google Scholar 

  • Ishimaru, A. (1978): Wave Propagation and Scattering in Random Media, Vol.2. Academic Press, New York, 1978.

    Google Scholar 

  • Ivanov, A.V., S. Zwanzig, (1981): An asymptotic expansion for the distribution of the least squares estimator of a vector parameter in nonlinear regression. Soviet Math. Dokl. Vol. 23 (1981), No.1, 118-121.

    Google Scholar 

  • Ivanov, A.V., S. Zwanzig, (1996): Saddlepoint approximation in nonlinear regression. Theory of Stochastic Processes, 2, (18),1996,156-162.

    Google Scholar 

  • Ivanov, A.V., S. Zwanzig, (1983): An asymptotic expansion of the distribution of the least squares estimator in the nonlinear regression model. Statistics, VoL 14 (1983), No. 1, 7-27.

    Google Scholar 

  • Izenman, A.J. (1975): Reduced-rank regression for the multivariate linear model, J. Multivar. Anal. 5 (1975), 248-264

    Google Scholar 

  • Jacob, N. (1996): Pseudo-differential operators and Markov processes, Akademie Verlag, Berlin 1996

    Google Scholar 

  • Jacobi, C.G.J. (1841): Deformatione et proprietatibus determinatum, Crelle’s J. reine angewandte Mathematik, Bd.22

    Google Scholar 

  • Jacod, J., Protter, P. (2000): Probability essentials, Springer-Verlag, Heidelberg Berlin New York 2000

    Google Scholar 

  • Jaeckel, L.A. (1972): Estimating regression coefficients by minimizing the dispersion of the residuals, Annals Mathematical Statistics 43 (1972), 1449-1458

    Google Scholar 

  • Jajuga, K. (1995): On the principal components of time series, Statistics in Transition 2 (1995), 201-205

    Google Scholar 

  • James, A.T. (1954): Normal multivariate analysis and the orthogonal group, Ann. Math. Statist. 25 (1954), 40-75

    Google Scholar 

  • Jammalamadaka S. R., Sengupta D. (1999): Changes in the general linear model: A unified approach. Linear Algebra Appl. 289, 1-3 (1999), 225-242.

    Google Scholar 

  • Jammalamadaka, S.R., SenGupta, A. (2001): Topics in circular statistics, World Scientific, Singapore 2001

    Google Scholar 

  • Janacek, G. (2001): Practical time series, Arnold, London 2001

    Google Scholar 

  • Jara, A., Quintana, E. and E. Sammertin (2008): Linear effects mixed models with skew-elliptical distributions: A Bayesian approach. In Computational Statist. Data Analysis 52 (2008) 5033-5045

    Google Scholar 

  • Jeffery, H. (1961): Cartesian tensors, Cambridge University Press

    Google Scholar 

  • Jekeli, C. (2001): Inertial Navigation Systems with Geodetic Applications. Walter deGruyter, Berlin-New York, 352p

    Google Scholar 

  • Jennison, C. and B.W. Turnbull (1997): Distribution theory of group sequential t, x2 and F-Tests for general linear models, Sequential Analysis 16 (1997), 295-317

    Google Scholar 

  • Jennrich, R.I. (1969): Asymptotic properties of nonlinear least squares estimation, Ann. Math. Statist. 40 (1969), 633-643

    Google Scholar 

  • Jensen, J.L. (1981): On the hyperboloid distribution, Scand. J. Statist. 8 (1981), 193-206

    Google Scholar 

  • Jiang, J. (1997): A derivation of BLUP - Best linear unbiased predictor, Statistics & Probability Letters 32 (1997), 321-324

    Google Scholar 

  • Jiang, J. (1999): On unbiasedness of the empirical BLUE and BLUP, Statistics & Probability 41 (1999), 19-24

    Google Scholar 

  • Jiang, J., Jia, H. and H. Chen (2001): Maximum posterior estimation of random effects in generalized linear mixed models, Statistica Sinica 11 (2001), 97-120

    Google Scholar 

  • Joe, H. (1997): Multivariate models and dependence concepts, Chapman and Hall, Boca Raton 1997

    Google Scholar 

  • Jörgensen, B. (1984): The delta algorithm and GLIM, Int. Statist. Review 52 (1984), 283-300

    Google Scholar 

  • Jörgensen, B. (1997): The theory of dispersion models, Chapman and Hall, Boca Raton 1997

    Google Scholar 

  • Jörgensen, B., Lundbye-Christensen, S., Song, P.X.-K. and L. Sun (1996b): State space models for multivariate longitudinal data of mixed types, Canad. J. Statist. 24 (1996b), 385-402

    Google Scholar 

  • Jorgensen, P.C., Kubik, K., Frederiksen, P. and W. Weng (1985): Ah, robust estimation! Australian Journal of Geodesy, Photogrammetry and Surveying 42 (1985), 19-32

    Google Scholar 

  • John, S. (1962): A tolerance region for multivariate normal distributions, Sankya A24 (1962), 363-368

    Google Scholar 

  • Johnson, N.L. and S. Kotz (1972): Distributions in statistics: continuous multivariate distributions, J. Wiley, New York 1972

    Google Scholar 

  • Johnson, N.L., Kotz, S. and X. Wu (1991): Inspection errors for attributes in quality control, Chapman and Hall, Boca Raton 1991

    Google Scholar 

  • Johnson, N.L. and S. Kotz and Balakrishnan, N. (1994): Continuous Univariate Distributions, vol 1. 2nd ed, John Wiley & Sons, New York, 784p

    Google Scholar 

  • Johnson, N.L. and S. Kotz and Balakrishnan, N. (1995): Continuous Univariate Distributions, vol 2. 2nd ed, John Wiley & Sons, New York, 752p

    Google Scholar 

  • Jonge de, P.J., Tiberius, C.C.J.M. (1996a): The LAMBDA method for integer ambiguity estimation: implementation aspects. Publications of the Delft Computing Centre, LGR-Series No. 12

    Google Scholar 

  • Jonge de, P.J., Tiberius, C.C.J.M. (1996b): Integer estimation with the LAMBDA method. In: Beutler, G et al. (eds) Proceedings IAG symposium No. 115, GPS trends in terrestrial, airborne and spaceborne applications. Springer, Heidelberg, pp 280-284

    Google Scholar 

  • Jonge de, P.J., Tiberius, C.C.J.M., Teunissen, P.J.G. (1996): Computational aspects of the LAMBDA method for GPS ambiguity resolution. In: Proceedings ION GPS-96, pp 935-944

    Google Scholar 

  • Jordan, W., Eggert, O. and Kneissl, M. (1956): Handbuch der Vermessungskunde, Vol. III, Hohenmessung. Metzlersche Verlagsbuchhandlung, 10th edition, Stuttgart.

    Google Scholar 

  • Jorgenson, B. (1999): Multivariate dispersion models, J. multivariate Analysis, 74, (1999), pp. 267-281

    Google Scholar 

  • Joshi, V.M. (1966): Admissibility of confidence intervals, Ann. Math. Statist. 37 (1966), 629-638

    Google Scholar 

  • Judge, G.G. and M.E. Bock (1978): The statistical implications of pre-test and Stein-rule estimators in econometrics, Amsterdam 1978

    Google Scholar 

  • Judge, G.G., W.E. Griffiths, R.C. Hill, and T.C. Lee (1980): The Theory and Practice of Econometrics, New York: John Wiley & Sons, 793 pages

    Google Scholar 

  • Judge, G.G. and T.A. Yancey (1981): Sampling properties of an inequality restricted estimator, Economics Lett. 7 (1981), 327-333

    Google Scholar 

  • Judge, G.G. and T.A. Yancey (1986): Improved methods of inference in econometrics, Amsterdam 1986

    Google Scholar 

  • Jukièc, D. and R. Scitovski (1997): Existence of optimal solution for exponential model by least squares, J. Comput. Appl. Math. 78 (1997), 317-328

    Google Scholar 

  • Jupp, P.E. and K.V. Mardia (1980): A general correlation coefficient for directional data and related regression problems, Biometrika 67 (1980), 163-173

    Google Scholar 

  • Jupp, P.E. and K.V. Mardia (1989): A unified view of the theory of directional statistics, 1975-1988, International Statist. Rev. 57 (1989), 261-294

    Google Scholar 

  • Jureckova, J. (1995): Affine- and scale-equivariant M-estimators in linear model, Probability and Mathematical Statistics 15 (1995), 397-407

    Google Scholar 

  • Jureckova, J.; Sen, P.K. (1996): In Robust Statistical Procedures Asymptotics and Interrelation, John Wiley & Sons: New York, USA, 1996.

    Google Scholar 

  • Jurisch, R. and G. Kampmann (1997): Eine Verallgemeinerung des arithmetischen Mittels für einen Freiheitsgrad bei der Ausgleichung nach vermittelnden Beobachtungen, Zeitschrift für Vermessungswesen 122 (1997), 509-521

    Google Scholar 

  • Jurisch, R. and G. Kampmann (1998): Vermittelnde Ausgleichungsrechnung mit balancierten Beobachtungen - erste Schritte zu einem neuen Ansatz, Zeitschrift für Vermessungswesen 123 (1998), 87-92

    Google Scholar 

  • Jurisch, R. and G. Kampmann (2001): Plücker-Koordinaten - ein neues Hilfsmittel zur Geometrie-Analyse und Ausreissersuche, Vermessung, Photogrammetrie und Kulturtechnik 3 (2001), 146-150

    Google Scholar 

  • Jurisch, R. and G. Kampmann (2002): Teilredundanzen und ihre natürlichen Verallgemeinerungen, Zeitschrift für Vermessungswesen 127 (2002), 117-123

    Google Scholar 

  • Jurisch, R., Kampmann, G. and B. Krause (1997): über eine Eigenschaft der Methode der kleinsten Quadrate unter Verwendung von balancierten Beobachtungen, Zeitschrift für Vermessungswesen 122 (1997), 159-166

    Google Scholar 

  • Jurisch, R., Kampmann, G. and J. Linke (1999a): über die Analyse von Beobachtungen in der Ausgleichungsrechnung - Äußere und innere Restriktionen, In “Qua Vadis Geodesia”, Festschrift für Erik W. Grafarend, Schriftenreihe der Institute des Studienganges Geodäsie und Geoinformatik 1999, 207-230

    Google Scholar 

  • Jurisch, R., Kampmann, G. and J. Linke (1999b): über die Analyse von Beobachtungen in der Ausgleichungsrechnung - Teil I, Zeitschrift für Vermessungswesen 124 (1999), 350-357

    Google Scholar 

  • Jurisch, R., Kampmann, G. and J. Linke: über die Analyse von Beobachtungen in der Ausgleichungsrechnung - Teil II, Zeitschrift für Vermessungswesen 124 (1999), 350-357

    Google Scholar 

  • Kagan, A.M., Linnik, J.V. and C.R. Rao (1965): Characterization problems of the normal law based on a property of the sample average, Sankya A27 (1965), 405-406

    Google Scholar 

  • Kagan, A. and L.A. Shepp (1998): Why the variance?, Statist. Prob. Letters 38 (1998), 329-333

    Google Scholar 

  • Kagan, A. and Z. Landsman (1999): Relation between the covariance and Fisher information matrices, Statistics & Probability Letters 42 (1999), 7-13

    Google Scholar 

  • Kagan, Y.Y. (1992): Correlations of earthquake focal mechanisms, Geophys. J. Int., 110, 305-320

    Google Scholar 

  • Kagan, Y.Y. (1990): Random stress and earthquake statistics: spatial dependence, Geophys. J. Int., 102, 573-583

    Google Scholar 

  • Kagan, Y.Y. (1991): Likelihood analysis of earthquake catalogues, Geophys. J. Int., 106, 135-148

    Google Scholar 

  • Kagan, Y.Y. and L. Knopoff (1985):Lorder statistical moment of the seismic moment tensor, Geophys. J. R. astr. Soc., 81,429-444

    Google Scholar 

  • Kahmen, H. and Faig, W. (1988): Surveying, Walter de Gruyter, Berlin 1988.

    Google Scholar 

  • Kahn, M., Mackisack, M.S., Osborne, M.R. and G.K. Smyth (1992): On the consistency of Prony’s method and related algorithms, Jour. Comp. and Graph. Statist. 1 (1992), 329-349

    Google Scholar 

  • Kahng, M.W. (1995): Testing outliers in nonlinear regression, Journal of the Korean Stat. Soc. 24 (1995), 419-437

    Google Scholar 

  • Kakkuri, J. and Chen, R. (1992): On horizontal crustal strain in Finland, Bull. Geod., 66, 12-20

    Google Scholar 

  • Kakwani, N.C. (1968): Note on the unbiasedness of mixed regression estimation, Econometrica 36 (1968), pp. 610-611

    Google Scholar 

  • Kalkbrener, M. (1990a): Primitive Polynomial Remainder Sequences. Technical Report RISCLinz Series no. 90-01.0, Research Institute for Symbolic Computation, Univ. of Linz.

    Google Scholar 

  • Kalkbrener, M. (1990b): Solving Systems of Bivariate Algebraic Equations by using Primitive Polynomial Remainder Sequences. Technical Report RISC-Linz Series no. 90-21.0, Research Institute for Symbolic Computation, Univ. of Linz.

    Google Scholar 

  • Kalkbrener, M. (1990c): Schreiben von M. Kalkbrener, Research Institute for Symbolic Computation, Johannes Kepler Universitat Linz an P. Lohse, Geodätisches Institut der Universitat Stuttgart vom 30. Mai 1990. nicht veroffentlicht.

    Google Scholar 

  • Kalkbrener, M. (1991): Three Contributions to Elimination Theory. Dissertation, Institut fiir Mathematik, Technisch-Naturwissenschaftliche Fakultat, Johannes Kepler Universit.at Linz.

    Google Scholar 

  • Kallianpur, G. (1963): von Mises functionals and maximum likelihood estimation, Sankya A25 (1963), 149-158

    Google Scholar 

  • Kallianpur, G. and Y.-T. Kim (1996): A curious example from statistical differential geometry, Theory Probab. Appl. 43 (1996), 42-62

    Google Scholar 

  • Kallenberg, O. (1986): Random measures, Academic Press, London 1984

    Google Scholar 

  • Kallenberg, O. (1997): Foundations of modern probability, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Kaleva, O. (1994): Interpolation of fuzzy data, Fuzzy Sets Sys, 61, 63-70.

    Google Scholar 

  • Kalman, R.: A New Approach to Linear Filtering and Prediction Problems, Trans. ASME Ser. D, J. Basic Eng. 82, 35 (1960J.

    Google Scholar 

  • Kaminsky, K.S. and P.I. Nelson (1975): Best linear unbiased prediction of order statistics in location and scale families, J. Am. Statist. Ass. 70 (1975), 145-150

    Google Scholar 

  • Kaminsky, K.S. and L.S. Rhodin (1985): Maximum likelihood prediction, Ann. Inst. Statist. Math. A37 (1985), 507-517

    Google Scholar 

  • Kampmann, G. (1988): Zur kombinativen Norm-Schätzung mit Hilfe der L1-, der L2- und der Boskovic-Laplace-Methode mit den Mittlen der linearen Programmierung, Ph.D. Thesis, Bonn University, Bonn 1988

    Google Scholar 

  • Kampmann, G. (1992): Zur numerischen überführung verschiedener linearer Modelle der Ausgleichungsrechnung, Zeitschrift für Vermessungswesen 117 (1992), 278-287

    Google Scholar 

  • Kampmann, G. (1994): Robuste Deformationsanalyse mittels balancierter Ausgleichung, Allgemeine Vermessungs-Nachrichten 1 (1994), 8-17

    Google Scholar 

  • Kampmann, G. (1997): Eine Beschreibung der Geometrie von Beobachtungen in der Ausgleichungsrechnung, Zeitschrift für Vermessungswesen 122 (1997), 369-377

    Google Scholar 

  • Kampmann, G. and B. Krause (1996): Balanced observations with a straight line fit, Bolletino di Geodesia e Scienze Affini 2 (1996), 134-141

    Google Scholar 

  • Kampmann, G. and B. Krause (1997): A breakdown point analysis for the straight line fit based on balanced observations, Bolletino di Geodesia e Scienze Affini 3 (1997), 294-303

    Google Scholar 

  • Kampmann, G. and B. Renner (1999): über Modellüberführungen bei der linearen Ausgleichungsrechnung, Allgemeine Vermessungs-Nachrichten 2 (1999), 42-52

    Google Scholar 

  • Kampmann, G. and B. Renner (2000): Numerische Beispiele zur Bearbeitung latenter Bedingungen und zur Interpretation von Mehrfachbeobachtungen in der Ausgleichungsrechnung, Zeitschrift für Vermessungswesen 125 (2000), 190-197

    Google Scholar 

  • Kampmann, G. and B. Krause (2004): Zur statistischen Begründung des Regressionsmodells der balanzierten Ausgleichungsrechnung, Z. Vermessungswesen 129 (2004), 176-183

    Google Scholar 

  • Kannan, N. and D. Kundu (1994): On modified EVLP and ML methods for estimating superimposed exponential signals, Signal Processing 39 (1994), 223-233

    Google Scholar 

  • Kantz, H. and Scheiber, T. (1997): Nonlinear rime series analysis, Cambridge University Press, Cambridge 1997

    Google Scholar 

  • Kanwal, R.P. (1971): Linear integral equations, theory and techniques. Academic Press, New York, London 1971

    Google Scholar 

  • Kaplan, E.D. and Hegarty, C.J. (eds) (2006): Understanding GPS: Principles and Applications. 2nd ed, Artech

    Google Scholar 

  • Karatzas, I. and S.E. Shreve (1991): Brownian motion and stochastic calculus, Springer-Verlag, Heidelberg Berlin New York 1991

    Google Scholar 

  • Karcz, I., Forrai, J. and Steinberg, G. (1992): Geodetic Network for Study of Crustal Moven1ents Across the Jordan-Deas Sea Rift. Journal of Geodynamics. 16:123-133.

    Google Scholar 

  • Kariya, T. (1989): Equivariant estimation in a model with an ancillary statistic, Ann. Statist 17 (1989), 920-928

    Google Scholar 

  • Karlin, S. and W.J. Studden (1966): Tchebychev systems, Interscience, New York (1966)

    Google Scholar 

  • Karlin, S. and W.J. Studden (1966): Optimal experimental designs, Ann. Math. Statist. 57 (1966), 783-815

    Google Scholar 

  • Karman, T. (1937): Proc. Nat. Acad. Sci. Volume 23, Washington 1937

    Google Scholar 

  • Karman, T. and L. Howarth: Proc. Roy. Soc. A 164 (1938).

    Google Scholar 

  • Karman, T. (1937): On the statistical theory of turbulence, Proc. Nat. Acad. Sci. 23 (1937) DS-1U5.

    Google Scholar 

  • Karman, T. and L. Howrath (1938): On the statistical theory of isotropic turbulence, Proc. Royal Soc. London A 164 (1938) 192-215

    Google Scholar 

  • Karr, A.F. (1986): Pointe process and their statistical interference, Marcel Dekker, New York, 1986

    Google Scholar 

  • Kaula, W.M.: a) J. Geoph. Res. 64, 2401 (1959); b, Rev. Geoph. 507 (1963).

    Google Scholar 

  • Kasala, S. and T. Mathew (1997): Exact confidence regions and tests in some linear functional relationships, Statistics & Probability Letters 32 (1997), 325-328

    Google Scholar 

  • Kasietczuk, B. (2000): Geodetic network adjustment by the maximum likelihood method with application of local variance, asymmetry and excess coefficients, Anno LIX - Bollettino di Geodesia e Scienze Affini 3 (2000), 221-235

    Google Scholar 

  • Kass, R.E. and P.W. Vos (1997): Geometrical foundations of asymptotic inference, J. Wiley, New York 1997

    Google Scholar 

  • Kastrup, H.A. (1962): Zur physikalischen Deutung und darstellungstheoretischen Analyse der konformen Transformationen von Raum und Zeit, Annalen der Physik 9 (1962), 388-428

    Google Scholar 

  • Kastrup, H.A. (1966): Gauge properties of the Minkowski space, Physical Review 150 (1966), 1183-1193

    Google Scholar 

  • Kay, S.M. (1988): Sinusoidal parameter estimation, Prentice Hall, Englewood Cliffs, N.J. 1988

    Google Scholar 

  • Keller, J.B. (1975): Closest unitary, orthogonal and Hermitian operators to a given operator, Math. Mag. 46 (1975), 192-197

    Google Scholar 

  • Kelly, R.J. and T. Mathew (1993): Improved estimators of variance components having smaller probability of negativity, J. Roy. Stat. Soc. B55 (1993), 897-911

    Google Scholar 

  • Kelm R, (1978): Ist die Variantzshatzung nach Helmert MINQUE? Allgemeine VermessungsNachrichten, 85, 49-54.

    Google Scholar 

  • Kemperman, J.H.B. (1956): Generalized tolerance limits, Ann. Math. Statist. 27 (1956), 180-186

    Google Scholar 

  • Kendall, D.G. (1974): Pole seeking Brownian motion and bird navigation, J. Roy. Statist. Soc. B36 (1974), 365-417

    Google Scholar 

  • Kendall, D.G. (1984): Shape manifolds, Procrustean metrics, and complex projective space, Bulletin of the London Mathematical Society 16 (1984), 81-121

    Google Scholar 

  • Kendall, M.G. (1960): The evergreen correlation coefficient, 274-277, in: Essays on Honor of Harold Hotelling, ed. I. Olkin, Stanford University Press, Stanford 1960

    Google Scholar 

  • Kendall, M.G. and Stuart, A. (1958): The advanced theory of statistics, Vol. 1, distribution theory, Charles Griffin and Company Ltd, London

    Google Scholar 

  • Kendall, M.G. and Stuart, A. (1977): The advanced theory of statistics. Vol. 1: Distribution theory. Charles Griffin & Company Lt., London-High Wycombe, 1977 (4th ed.)

    Google Scholar 

  • Kendall, M.G. and Stuart, A. (1979): The advanced theory of statistics. Vol. 2: Inference and relationship. Charles Griffin & Company Lt., London-High Wycombe, 1979 (4th ed.).

    Google Scholar 

  • Kenney, C.S., Laub, A.J. and M.S. Reese (1998): Statistical condition estimation for linear systems, SIAM J. Scientific Computing 19 (1998), 566-584

    Google Scholar 

  • Kent, J. (1976): Distributions, processes and statistics on spheres, Ph. D. Thesis, University of Cambridge

    Google Scholar 

  • Kent, J.T. (1983): Information gain and a general measure of correlation, Biometrika 70 (1983), 163-173

    Google Scholar 

  • Kent, J.T. (1997): Consistency of Procrustes estimators, J. R. Statist. Soc. B59 (1997), 281-290

    Google Scholar 

  • Kerr, R.M. (1985): Higher order derivative correlations and alignment of small scale structures in isotropic numerical turbulence, J. Fluid Mech. 153 (1985) 31-58

    Google Scholar 

  • Kertz, W. (1969): Einfuehrung in die Geophysik, BI - Taschenbuch, Mannheim 1969/71

    Google Scholar 

  • Keshin, M. (2004): Directional statistics of satellite-satellite single-difference widelane phase biases, Artificial satellites, 39 (2004), pp. 305-324

    Google Scholar 

  • Khan, R.A. (1998): Fixed-width confidence sequences for the normal mean and the binomial probability, Sequential Analysis 17 (1998), 205-217

    Google Scholar 

  • Khan, R.A. (2000): A note on Hammersley’s estimator of an integer mean, J. Statist. Planning and Inference 88 (2000), 37-45

    Google Scholar 

  • Khatri, C.G. and C.R. Rao (1968): Solutions to some fundamental equations and their applications to characterization of probability distributions, Sankya A30 (1968), 167-180

    Google Scholar 

  • Khatri, C.G. and S.K. Mitra (1976): Hermitian and nonnegative definite solutions of linear matrix equations, SIAM J. Appl. Math. 31 (1976), 597-585

    Google Scholar 

  • Khuri, A.I., Mathew, T. and B.K. Sinha (1998): Statistical tests for mixed linear models, J. Wiley, New York 1998

    Google Scholar 

  • Khuri, A.I. (1999): A necessary condition for a quadratic form to have a chi-squared distribution: an accessible proof, Int. J. Math. Educ. Sci. Technol. 30 (1999), 335-339

    Google Scholar 

  • Kiamehr R., (2006): Precise Gravimetric Geoid Model for Iran Based o’n GRACE and SRTM Data and the Least-Squares Modification of Stokes’ Formula with Some Geodynamic Interpretations. Ph.D. Thesjs, Division of Geodesy, Royal Institute of Technology, Stockholm, Sweden

    Google Scholar 

  • Kiamehr, R. and Eshagh, M. (2008): Estimating variance components of ellipsoidal, orthometric and geoidal heights through the GPS/levelling network in Iran, J. Earth and Space Physics 34 (2008) 1-13

    Google Scholar 

  • Kianifard F., Swallow W. H. (1996): A review of the development and application of recursive residuals in linear models. J. Am. Stat. Assoc. 91, 433 (1996), 391-400.

    Google Scholar 

  • Kida, S. (1989): Statistics of velocity gradients in turbulence at moderate Reynolts number, Fluid dynamics research 4 (1989) 347-370

    Google Scholar 

  • Kidd, M. and N.F. Laubscher (1995): Robust confidence intervals for scale and its application to the Rayleigh distribution, South African Statist. J. 29 (1995), 199-217

    Google Scholar 

  • Kiefer, J. (1974): General equivalence theory for optimal designs (approximate theory), Ann. Stat. 2 (1974), 849-879

    Google Scholar 

  • Kiefer, J. (1959): Optimum experimental design. J Royal Stat Soc Ser B 21:272-319

    Google Scholar 

  • Kiefer, J.C. and J. Wolfowitz (1959): Optimum design in regression problem, Ann. Math. Statist. 30 (1959), 271-294

    Google Scholar 

  • Killian, K. (1990): Der gefährliche Ort des überbestimmten räumlichen Rückwärtseinschneidens, Öst.Zeitschrift für Vermessungs wesen und Photogrammetry 78} (1990) 1-12.

    Google Scholar 

  • King, J.T. and D. Chillingworth (1979): Approximation of generalized inverses by iterated regularization, Numer. Funct. Anal. Optim. 1 (1979), 499-513

    Google Scholar 

  • King, M.L. (1980): Robust tests for spherical symmetry and their application to least squares regression, Ann. Statist. 8 (1980), 1265-1271

    Google Scholar 

  • Kirkwood, B.H., Royer, J.Y., Chang, T.C. and R.G. Gordon (1999): Statistical tools for estimating and combining finite rotations and their uncertainties, Geophys. J. Int. 137 (1999), 408-428

    Google Scholar 

  • Kirsch, A. (1996): An introduction to the mathematical theory of inverse problems, Springer-Verlag, Heidelberg Berlin New York 1996

    Google Scholar 

  • Kitagawa, G. and W. Gersch (1996): Smoothness priors analysis of time series, Springer-Verlag, Heidelberg Berlin New York 1996

    Google Scholar 

  • Klebanov, L.B. (1976): A general definition of unbiasedness, Theory of Probability and Appl. 21 (1976), 571-585

    Google Scholar 

  • Klees, R., Ditmar, P. and P. Broersen (2003): How to handle colored observation noise in large least-squares problems, Journal of Geodesy 76 (2003), 629-640

    Google Scholar 

  • Kleffe, J. (1976): A note on MINQUE for normal models, Math. Operationsforschg. Statist. 7 (1976), 707-714

    Google Scholar 

  • Kleffe, J. (1977): Invariant methods for estimating variance components in mixed linear models, Math. Operations forsch. Statistic. Series Ststist., 8 (1977), pp. 233-250

    Google Scholar 

  • Kleffe, J. and R. Pincus (1974): Bayes and the best quadratic unbiased estimators for parameters of the covariance matrix in a normal linear model, Math. Operationsforschg. Statistik 5 (1974), 43-76

    Google Scholar 

  • Kleffe, J. and R. Pincus (1974): Bayes and the best quadratic unbiased estimators for variance components and heteroscedastic variances in linear models, Math. Operationsforschg. Statistik 5 (1974), 147-159

    Google Scholar 

  • Kleffe, J. and J.N.K. Rao (1986): The existence of asymptotically unbiased nonnegative quadratic estimates of variance components in ANOVA models, J. Am. Statist. Ass. 81 (1986), 692-698

    Google Scholar 

  • Kleijnen, J.P.C. and Beers, van W.C.M. (2004): Application driven sequential design for simulation experiments: Kriging metamodeling. J Oper Res Soc 55:876-893

    Google Scholar 

  • Kleijnen, J.P.C. (2004): An overview of the design and analysis of simulation experiments for sensitivity analysis. Eur J Oper Res 164:287-300

    Google Scholar 

  • Klein, U. (1997): Analyse und Vergleich unterschiedlicher Modelle der dreidimensionale, DGK, Reihe C, Heft Nr. 479.

    Google Scholar 

  • Kleusberg, A. and E.W. Grafarend (1981): Expectation and variance component estimation of multivariate gyrotheodolite observation II , Allgemeine Vermessungsnachrichten 88 (1981), 104-108

    Google Scholar 

  • Kleusberg, A. (1994): Die direkte Lösung des räumlichen Hyperbelschnitts, Zeitschrift für Vermessungswesen 119} (1994) 188-192.

    Google Scholar 

  • Kleusberg, A. (1999): Analytical GPS navigation solution, Quo vadis geodesia...? Festschrift for E.W. Grafarend on the occasion of his 60th birthday, Eds. F. Krumm and V.S. Schwarze, Report Nr. 1999.6-1.

    Google Scholar 

  • Klingbeil, E. (1977): Variationsrechnung. Bibliographisches Institut. B.I. Wissenschaftsverlag, Mannheim.

    Google Scholar 

  • Klingenberg, W. (1973): Eine Vorlesung iiber Differentialgeometrie. Springer-Verlag, Berlin Heidelberg.

    Google Scholar 

  • Klingenberg, W. (1982): Riemannian Geometry. Walter de Gruyter, Berlin.

    Google Scholar 

  • Klonecki, W. and S. Zontek (1996): Improved estimators for simultaneous estimation of variance components, Statistics & Probability Letters 29 (1996), 33-43

    Google Scholar 

  • Kmenta, J. (1971): Elements of econometrics, Macmillan, New York, 1971

    Google Scholar 

  • Knautz, H. (1996): Linear plus quadratic (LPQ) quasiminimax estimation in the linear regression model, Acta Applicandae Mathematicae 43 (1996), 97-111

    Google Scholar 

  • Knautz, H. (1999): Nonlinear unbiased estimation in the linear regression model with nonnormal disturbances, J. Statist. Planning and Inference 81 (1999), 293-309

    Google Scholar 

  • Knickmeyer, E.H. (1984): Eine approximative Lösung der allgemeinen linearen Geodätischen Randwertaufgabe durch Reihenentwicklungen nach Kugelfunktionen, Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften, München 1984

    Google Scholar 

  • Knuth D. E. (1973): The Art of Computer Programming. Vol. I, Fundamental Algorithms, 2nd Edn., Addison-Wesley

    Google Scholar 

  • Koch, G.G. (1968): Some futher remarks on A general approach to the estimation of variance components, Technometrics 10 (1968), 551-558

    Google Scholar 

  • Koch, K.R. (1991): Moment tensor inversion of local earthquake data - I. investigation of the method and its numerical stability with model calculations, Geophys. J. Int., 106, 305-319

    Google Scholar 

  • Koch, K.R. (1969): Solution of the Geodetic Boundary Value Problem for a Reference Ellipsoid. Journal of Geophysical Research, 74, 3796-3803; 1969

    Google Scholar 

  • Koch, K.R. (1970a): Lunar Shape and Gravity Field. Photogrammetric Engineering, 36, 375-380, 1970

    Google Scholar 

  • Koch, K.R. (1970b): Darstellung’des Erdschwerefeldes in der Satellitengeodasie durchdas Potential einer einfachen Schicht Zeitschrift für Vermessungswesen, 95, 173-179, 1970

    Google Scholar 

  • Koch, K.R. (1970c): Reformulation of the Geodetic Boundary Value Problem in View of the Results of Geometric Satellite Geodesy. Advances in Dynamic Gravimetry, edited by W.T. Kattner, 111-114, Instrument Society of America, Pittsburgh 1970

    Google Scholar 

  • Koch, K.R. (1970d): Über die Bestimmung des Gravitationsfeldes eines Himmelskorpers mit Hilfe der Saterliten photogrammetrie. Bildmessung und Luftbildwesen, 38, 331-338, Karlsruhe 1970

    Google Scholar 

  • Koch, K.R. (1970e): Surface Density Values for the Earthfrom Satellite and Gravity Observations. Geophysical Journal of the Royal Astronomical. Society, 21, 1-12 1970

    Google Scholar 

  • Koch, K.R. (1971a): Die geodätische Randwertaufgabe bei bekannter ErdoberfHiche. Zeitschrift fiiI Vermessungswesen, 96, 218-224, 1971

    Google Scholar 

  • Koch, K.R. (1971b): Simple Layer Potential of a Level. Ellipsoid. Bollettino di Geofisica teorica ed applicata, 13, 264-270, 1971

    Google Scholar 

  • Koch, K.R. (1971c): Geophysikalische Interpretation von mittleren D’ichtewerten der Erdoberflache aus Satelitenbeobachtungen und Schwerem,essungen. Das Unternehmen Erdmantel, herausgegeben von W; Kertz u.a., 244-246, Deutsche Forschungsgemeinschaft, Bonn 1971

    Google Scholar 

  • Koch, K.R. (1972a): Geophysical Interpretation of Density Anomalies of the Earth Computed from Satellite Observations and Gravity Measurements. Zeitschrift für Geophysik, 38, 75-84, 1972

    Google Scholar 

  • Koch, K.R. (1972b): Method of Integral Equations for the Geodetic Boundary Value Problem. Mitteilungen aus dem Institut für Theoretische Geodasie der Universitat Bonn, Nr, 4, 38-49, Bonn 1972.

    Google Scholar 

  • Koch, K.R. (1973): Kontinentalverschiebung und Erdschwerefeld. Zeitschrift für Vermessungswesen, 98, 8-12, 1973

    Google Scholar 

  • Koch, K.R. (1974): Earth’s Gravity Field and Station Coordinates From Doppler Data, Satellite Triangulation, and Gravity Anomalies. NOAA Technical Report NOS 62, U.S. Department of Commerce, Rockville, Md 1974

    Google Scholar 

  • Koch, K.R. (1975): Rekursive numerische Filter. Zeitschrift fiir Vermessungswesen,. 100, 281-292, 1975

    Google Scholar 

  • Koch, K.R. (1976): Schatzung. einer Kovarianzmatrix und Test ihrer Identitat mit einer gegebenen Matrix. Allgemeine Vermessungs-’-Nachrichten, 83, 328-333, 1976

    Google Scholar 

  • Koch, K.R. (1978a): Hypothesentests bei singulren Ausgleichungsproblemen, ZfV, Vol. 103, pp. 1-10

    Google Scholar 

  • Koch, K.R. (1978b): Schatzung von Varianzkomponenten. Allgemeine Vermessungs-Nachrichten, 85, 264-269, 1978

    Google Scholar 

  • Koch, K.R. (1979a): Parameter Estimation in Mixed Models. Correlation Analysis and Systematical Errors with Special Reference, to Geodetic Problems, Report No.6, 1-10, Geodetic Institute, Uppsala University, Uppsala 1979

    Google Scholar 

  • Koch, K.R. (1979b): Parameter Estimation in the Gauss-Helmert Model. Bollettino di Geodesia e Scienze Affini, 38, 553-563, 1979

    Google Scholar 

  • Koch, K.R. (1980): Parameterschatzung und Hypothesentests in linearep. Modellen. Dummler, Bonn, 1980, pp. 308

    Google Scholar 

  • Koch, K.R. (1981): Varianz- und Kovarianzkomponentenschatzung für Streckenmessungen auf Eichlinien Allgemeine Vermessungs-Nachrichten, 88, 135-132; 1981

    Google Scholar 

  • Koch, K.R. (1982): S-transformations and projections for obtaining estimable parameters, in: Blotwijk, M.J. et al. (eds.): 40 Years of Thought, Anniversary volume for Prof. Baarda’s 65th Birthday Vol. 1, Technische Hogeschool Delft, Delft (1982), 136-144

    Google Scholar 

  • Koch, K.R. (1983): Estimation of Variances and Covariances in the Multivariate and in the Incomplete Multivariate Model. Deutsche Geodätische Kommission, Reihe A, Nr. 98, 53-59, München 1983

    Google Scholar 

  • Koch, K.R. (1985): Ein Statistisches Auswerteverfahren für Deformationsmessungen, AVN, Vol. 92, pp. 97-108

    Google Scholar 

  • Koch, K.R. (1986): Maximum Likelihood Estimate of Variance Components; Ideas by A.J. Pope. Bulletin Geodesique 60 329-338 1986

    Google Scholar 

  • Koch, K.R. (1987a): Zur Auswertung von Streckenmessungen auf Eichlinien mi’ttels Varianzkomponentenschatzung. Allgemeine Vennessungs-Nachrichten, 94, 63-71, 1987

    Google Scholar 

  • Koch, K.R. (1987b): Bayesian Inference for Variance Components. Manuscripta Geodaetica, 12, 309-313 1987

    Google Scholar 

  • Koch, K.R. (1987c): Parameterschaetzung und Hypothesentests in linearen Modellen, 2nd ed., Duemmler, Bonn 1987

    Google Scholar 

  • Koch, K.R. (1988a): Parameter estimation and hypothesis testing in linear models, Springer-Verlag, Heidelberg Berlin New York 1988

    Google Scholar 

  • Koch, K.R. (1988b): Konfidenzinte:r:valle der Bayes-Statistik für die Varianzen von Streckenmessungen ’auf Eichlinien. Vermessung Photogrammetrie, Kultur’technik, 86, 337-340, 1988

    Google Scholar 

  • Koch, K.R. (1988c): Bayesian Statistics for Variance Components with Informative and Noninformative Priors. Manuscripta GeodaetIca, 13, 370-373; 1988

    Google Scholar 

  • Koch, K.R. (1990): Bayesian Inference with Geodetic Applications. Springer-Verlag, Berlin Heidelberg NewYork 1990, pp. 208

    Google Scholar 

  • Koch, K.R. (1999): Parameter estimation and hypothesis testing in linear models, 2nd ed., Springer-Verlag, Heidelberg Berlin New York 1999

    Google Scholar 

  • Koch, K.R. (2008): Determining uncertainties of correlated measurements by Monte Carlo simulations applied to laserscanning, Journal of Applied Geodesy, 2, 139-147 (2008).

    Google Scholar 

  • Koch, K.R. and J. Kusche (2002): Regularization of geopotential determination from satellite data by variance components, Journal of Geodesy 76 (2002), 259-268

    Google Scholar 

  • Koch, K.R. and A.J. Pope, (1969): Least Squares Adjustment with Zero Variances. Zeitschrift für Vermessungswesen, 94, 390-393, 1969 (zusammen mit A.J. Pope)

    Google Scholar 

  • Koch, K.R. and B.U. Witte, (1971): Earth’s’ Gravity Field Represented by a Simple-Layer Potential from Doppler Tracking of Satellites, Journal of Geophysical Research, 76, 8471-8479, 1971

    Google Scholar 

  • Koch, K.R. and A.J. Pope, (1972): Punktbestimmung durch die Vereinigung von geometrischer und dynamischer Satelllitengeodasie. Zeitschrift für Vermessungswesen, 97, 1-6, 1972

    Google Scholar 

  • Koch, K.R. and A.J. Pope, (1972): Uniqueness and Existence for the Geodetic Boundary Value Problem Using the Known Surface of the Earth. Bulletin Geodesique, 106, 467-476, 1972

    Google Scholar 

  • Koch, K.R. and H. Frohlich (1974): Integrationsfehler in den Variationsgleichungen für das’ Modell der einfachen Schicht in der Satellitengeodasie. Mitteilungen aU8 dem Institut für Theoretische Geodasie der Universitat Bonn, Nr. 25; Bonn 1974

    Google Scholar 

  • Koch, K.R. and W. Bosch, (1980): The geopotential from Gravity Measurements, Levelling Data and Satellite Results. Bulletin Geodesique, 54, 73-79, 1980

    Google Scholar 

  • Koch, K.R. and M. Schmidt, (1994): Deterministiche and Stochastische signals, Dummler, Bonn 1994, pp. 358

    Google Scholar 

  • Koch, K.R. and Z. Ou, (1994): Analytical expressions for Bayes estimates of variance components. Manuscripta Geodetica 19 284-293, 1994

    Google Scholar 

  • König, D. and V. Schmidt (1992): Zufällige Punktprozesse, Teubner Skripten zur Mathematischen Stochastik, Stuttgart 1992

    Google Scholar 

  • Koenker, R. and G. Basset (1978): Regression quantiles, Econometrica 46 (1978), 33-50

    Google Scholar 

  • Kollo, T. and H. Neudecker (1993): Asymptotics of eigenvalues and unit-length eigenvectors of sample variance and correlation matrices, J. Multivar. Anal. 47 (91993), 283-300

    Google Scholar 

  • Kollo, T. and D. von Rosen (1996): Formal density expansions via multivariate mixtures, in: Multidimensional statistical analysis and theory of random matrices, Proceedings of the Sixth Lukacs Symposium, eds. Gupta, A.K. and V.L.Girko, 129-138, VSP, Utrecht 1996

    Google Scholar 

  • Kolmogorov, A.N. (1941): Interpolation’ und Extrapolation von stationaeren zufaelligen Folgen, Bull. Acad. Sci. (USSR), Ser. Math. 5. (1941), 3-14

    Google Scholar 

  • Kolmogorov, A.N. (1950): Foundations of the Theory of Probability, New York, Chelsea Pub. co.

    Google Scholar 

  • Kolmogorov, A.N. (1962): A refinement of previous hypothesis concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number, Fluid mechanics 13 (1962) 82-85

    Google Scholar 

  • Konoshi, S. and Rao, C.R. (1992): Principal component analysis for multivariate familial data, Biometrica, 79, 631-641

    Google Scholar 

  • Koopman, R. (1982): Parameterschätzung ber a priori information, Vandenhoeck and Ruprecht, Göttingen 1982

    Google Scholar 

  • Koopmans, T.C. and O. Reiersol (1950): The identification of structural characteristics, Ann. Math. Statistics 21 (1950), 165-181

    Google Scholar 

  • Korc, F. and Forstner, W. (2008): Interpreting Terrestrial/mages of Urban Scenes Using Discriminative Random Fields. 21 st Congress of the International Society for Photogrammetry and Remote Sensing (ISPRS). Beijing, China 2008, S. 291-296 Part B3a.

    Google Scholar 

  • Kosko, B. (1992): Networks and fuzzy systems, Prentice-Hall, Englewood Cliffs, N.J. 1992

    Google Scholar 

  • Kosmol, P. (1989): Methoden zur numerischen Behandlung nichtlinearer Gleichungen und Optimierungsaufgaben, B. G. Teubner, Stuttgart.

    Google Scholar 

  • Kotecky, R. and J. Niederle (1975): Conformally covariant field equations: First order equations with non-vanishing mass, Czech. J. Phys. B25 (1975), 123-149

    Google Scholar 

  • Kotsakis, C. (2005): A type of biased estimators for linear models with uniformly biased data, Journal of Geodesy, vol. 79, no. 6/7, pp. 341-350

    Google Scholar 

  • Kott, P.S. (1998): A model-based evaluation of several well-known variance estimators for the combined ratio estimator, Statistica Sinica 8 (1998), 1165-1173

    Google Scholar 

  • Koukouvinos, C. and J. Seberry (1996): New weighing matrices, Sankhya: The Indian Journal of Statistics B, 58 (1996), 221-230

    Google Scholar 

  • Kourouklis S., Paige C. C. (1996): A constrained least squares approach to the general GaussMarkov linear model. J. Am. Stat. Assoc. 76, 375 (1981), 620-625.

    Google Scholar 

  • Kowalewski, G. (1995): Robust estimators in regression, Statistics in Transition 2 (1995), 123-135

    Google Scholar 

  • Kraichnan R.H. (1974): On Kolmogorov’s inertial-range theories, J. Fluid Mech. (1974), vol. 62, part 2, pp. 305-330

    Google Scholar 

  • Kraemer, J. and B. Eisfeller (2009): A-GNSS, a different approach, Inside GNSS, Sep/Oct issue, (2009), 52-61

    Google Scholar 

  • Krämer, W., Bartels, R. and D.G. Fiebig (1996): Another twist on the equality of OLS and GLS, Statistical Papers 37 (1996), 277-281

    Google Scholar 

  • Krantz, S.G. and H.R. Parks (2002): The implicit function theorem - history, theory and applications, Birkhäuser-Verlag, Basel Boston Berlin 2002

    Google Scholar 

  • Krarup, T. (1969): A Contribution to the mathematical foundation of physical geodesy, Publ. Danish Geod. Inst. 44, Copenhagen

    Google Scholar 

  • Krarup, T. (1979): S-transformations or how to live without the generalized inverse-almost, Danish Geodetic Institute, Copenhagen 1979

    Google Scholar 

  • Krarup, T. (1980): Integrated geodesy. In: Proceedings of the international school of advanced geodesy. Bollettino di Geodesia e Scienze Affini 38:480-496

    Google Scholar 

  • Krarup, T. (1982): Nonlinear adjustment and curvature, In. Forty years of thought, Delft, pp. 145-159, 1982.

    Google Scholar 

  • Krarup, T., Juhl, J. and K. Kubik (1980): Götterdämmerung over least squares adjustment, in: Proc. 14th Congress of the International Society of Photogrammetry, Vol. B3, Hamburg 1980, 369-378

    Google Scholar 

  • Krause, L.O. (1987): A direct solution of GPS-Type Navigation equations, IEEE Transactions on Aerospace and Electronic Systems 23} (1987) 225-232.

    Google Scholar 

  • Krauss, K.: a) ZfV 95,387 (1970); b) ZfV 96, 233 (1971).

    Google Scholar 

  • Krengel, U. (1985): Ergodic theorems, de Gruyter, Berlin New York 1985

    Google Scholar 

  • Kres, H. (1983): Statistical tables for multivariate analysis, Springer-Verlag, Heidelberg Berlin New York 1985

    Google Scholar 

  • Krige, D. (1951): A statistical approach to some basic mine valuation problems on the Witwatersrand. J Chem Metall Mining Soc South Afr 52:119-139

    Google Scholar 

  • Krishna, S. and Manocha, D. (1995): Numerical algorithms for evaluating one-dimensional algebraic sets, Proceedings of the International Symposium on Symbolic and Algebraic Computation ISSAC, July 10-12, pp. 59-67, Montreal, Canada, 1995.

    Google Scholar 

  • Kronecker, L. (1903): Vorlesungen über die Theorie der Determinanten, Erster Band, Bearbeitet und fortgeführt von K.Hensch, B.G.Teubner, Leipzig 1903

    Google Scholar 

  • Krumbein, W.C. (1939): Preferred orientation of pebbles in sedimentary deposits, J. Geol. 47 (1939), 673-706

    Google Scholar 

  • Krumm, F. (1982): Criterion matrices for estimable quantities. Proceedings Survey Control Networks, ed. Borre, K., Welsch, W.M., Vol. 7, pp. 245-257, Schriftenreih Wiss. Studiengang Vermessungswesen, Hochschule der Bundeswehr München.

    Google Scholar 

  • Krumm, F., Grafarend, E. and B. Schaffrin (1986): Continuous networks, Fourier analysis and criterion matrices, manuscripta geodaetica 11 (1986), 57-78

    Google Scholar 

  • Krumm, F. (1987): Geodätische Netze im Kontinuum: Inversionsfreie Ausgleichung und Konstruktion von Kriterionmatrizen, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, Ph. D. Thesis, Report C334, München 1987

    Google Scholar 

  • Krumm, F. and F. Okeke (1998): Graph, graph spectra, and partitioning algorithms in a geodetic network structural analysis and adjustment, Bolletino di Geodesia e Science Affini 57 (1998), 1-24

    Google Scholar 

  • Kruskal, W. (1946): Helmert’s distribution, American Math. Monthly 53 (1946), 435-438

    Google Scholar 

  • Kruskal, W. (1968): When are Gauß-Markov and least squares estimators identical? A coordinate-free approach, Ann. Statistics 39 (1968), 70-75

    Google Scholar 

  • Kryanev, A.V. (1974): An iterative method for solving incorrectly posed problem, USSR. Comp. Math. Math. Phys. 14 (1974), 24-33

    Google Scholar 

  • Krzanowski, W.J. and F.H.C. Marriott (1994): Multivariate analysis: part I - distribution, ordination and inference, Arnold Publ., London 1994

    Google Scholar 

  • Krzanowski, W.J. and F.H.C. Marriott (1995): Multivariate analysis: part II - classification, covariance structures and repeated measurements, Arnold Publ., London 1995

    Google Scholar 

  • Kuang, S.L. (1991): Optimization and design of deformations monitoring schemes, PhD dissertation, Department of Surveying Engineering, University of New Brunswick, Tech. Rep. 91, Fredericton 1991

    Google Scholar 

  • Kuang, S. (1996): Geodetic network analysis and optimal design, Ann Arbor Press, Chelsea, Michigan 1996

    Google Scholar 

  • Kubacek, L. (1988): Foundations of the Estimation Theory. Elsevier, Amsterdam-Oxford, New York-Tokyo, 1988.

    Google Scholar 

  • Kubacek, L. (1995): Linear statistical models with constraints revisited. Math. Slovaca 45, 3 (1995), 287-307.

    Google Scholar 

  • Kubacek, L. (1995): On a linearization of regression models. Appl. Math., Praha, 40, 1 (1995), 61-78.

    Google Scholar 

  • Kubacek, L. (1996a): Linear model with inaccurate variance components, Applications of Mathematics 41 (1996), 433-445

    Google Scholar 

  • Kubacek, L. (1996b): Nonlinear error propagation law, Applications of Mathematics 41 (1996), 329-345

    Google Scholar 

  • Kubacek, L. (1996c): Models with a low nonlinearity. Tatra Mt. Math. Publ. 7 (1996), 149-155.

    Google Scholar 

  • Kubacek, L. (1997): Notice on the Chipman generalization of the matrix inverse. Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 36 (1997), 95-98.

    Google Scholar 

  • Kubacek, L. (2002): On an accuracy of change points. Math. Slovaca 52,4 (2002), 469-484.

    Google Scholar 

  • Kubacek, L. (2005): Underparametrization in a regression model with constraints II. Math. Slovaca 66 (2005), 579-596.

    Google Scholar 

  • Kubacek, L. and Kubackova, L. (1978): The present approach to the study of the least-squares method. Studia geoph. et geod. 22 (1978), 140-147.

    Google Scholar 

  • Kubacek, L., Kubackova, L. and J. Kukaca (1987): Probability and statistics in geodesy and geophysics, Elsevier, Amsterdam 1987

    Google Scholar 

  • Kubacek, L., Kubackova, L. and Volaufova, J. (1995): Statistical Models with Linear Structures. Veda, Bratislava, 1995.

    Google Scholar 

  • Kubacek, L. and Kubackova, L. and J. Kukaca (1995): Statistical models with linear structures, slovak Academy of Sciences, Bratislava 1995

    Google Scholar 

  • Kubacek, L. and Kubackova, L. (1997): One of the calibration problems. Acta Univ. Palacki. 010- muc., Fac. Rerum Nat., Math. 36 (1997), 117-130.

    Google Scholar 

  • Kubacek, L. and Kubackova, L. (1998): Testing statistical hypotheses in deformation measurement; one generalization of the Scheffe theorem. Acta Univ. Palacki. Olomu., Fac. Rerum Nat., Math. 37 (1998), 81-88.

    Google Scholar 

  • Kubacek, L. and Kubackova, L. (2000): Nonsensitiveness r:egions in universal models. Math. 810- vaca 50, 2 (2000), 219-240.

    Google Scholar 

  • Kubacek, L., Kubackova L., SevCik J. (2002): Linear conform transformation: errors in both coordinate systems. Appl. Math., Praha 47, 4 (2002), 361-380.

    Google Scholar 

  • Kubacek, L., Fiserova, E. (2003): Problems of sensitiveness and linearization in a determination of isobestic points. Math. Slovaca 53, 4 (2003), 407-426.

    Google Scholar 

  • Kubackova, L. (1996): Joint confidence and threshold ellipsoids in regression models. Tatra Mt. Math. Publ. 7 (1996), 157-160.

    Google Scholar 

  • Kubik, K.K. (1967): Iterative Methoden zur Lösunge des nichtlinearen Ausgleichungsproblemes, Zeitschrift für Vermessungswesen 91} (1967) 145-159.

    Google Scholar 

  • Kubik, K. (1970): The estimation of the weights of measured quantities within the method of least squares. Bulletin Geodesique, 44, 21-40.

    Google Scholar 

  • Kubik, K. (1982): Kleinste Quadrate und andere Ausgleichsverfahren, Vermessung Photogrammetrie Kulturtechnik 80 (1982), 369-371

    Google Scholar 

  • Kubik, K., and Y. Wang (1991): Comparison of different principles for outlier detection, Australian Journal of Geodesy, Photogrammetry and Surveying 54 (1991), 67-80

    Google Scholar 

  • Kuechler, U. and M. Soerensen (1997): Exponential families of stochastic processes, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Kukush, A. and S. Zwanzig (2002): On consistent estimatiors in nonlinear functional errors- in-variables models. p. 145-154. In Total Least squares and Erros-in-Variables Modeling ed. Sabine Huffel, Philippe Lemmerling, Kluwer

    Google Scholar 

  • Kullback, S. (1934): An application of characteristic functions to the distribution problem of statistics, Annals Math. Statistics 4 (1934), 263-305

    Google Scholar 

  • Kullback, S. (1935): On samples from a multivariate normal population, Ann. Math. Stat. 6, 202-213

    Google Scholar 

  • Kullback, S.(1952): An application of information theory to multivariate analysis, Ann. Math. Stat., 23, 88-102

    Google Scholar 

  • Kullback, S. (1956): An application of information theory to multivariate analysis II, Ann. Math. Stat., 27, 122-146

    Google Scholar 

  • Kumaresan, R. (1982): Estimating the parameters of exponentially damped or undamped sinusoidal signals in noise, PhD thesis, The University of Rhode Island, Rhode Island 1982

    Google Scholar 

  • Kunderova, P. (2000): Linear models with nuisance parameters and deformation measurement. Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 39 (2000), 95-105.

    Google Scholar 

  • Kunderova, P. (2001): Locally best and uniformly best estimators in linear models with nuisance parameters. Tatra Mt. Math. Publ. 22 (2001), 27-36.

    Google Scholar 

  • Kunderova, P. (2001): Regular linear model with the nuisance parameters with constraints of the type I. Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 40 (2001), 151-159.

    Google Scholar 

  • Kunderova, P. (2002): Regular linear model with nuisance parameters with constraints of the type II. Folia Fac. Sci. Nat. Univ. Masarykianae Brunensis, Math. 11 (2002), 151-162.

    Google Scholar 

  • Kunderova, P. (2003): Eliminating transformations for nuisance parameters in linear model. Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 42 (2003), 59-68.

    Google Scholar 

  • Kunderova, P. (2005): One singular multivariate linear model with nuisance parameters. Acta Univ. Palacki. Olomuc., Fac. Rerum Nat., Math. 44 (2005), 57-69.

    Google Scholar 

  • Kundu, D. (1993a): Estimating the parameters of undamped exponential signals, Technometrics 35 (1993), 215-218

    Google Scholar 

  • Kundu, D. (1993b): Asymptotic theory of least squares estimator of a particular nonlinear regression model, Statistics and Probability Letters 18 (1993), 13-17

    Google Scholar 

  • Kundu, D. (1994a): Estimating the parameters of complex valued exponential signals, Computational Statistics and Data Analysis 18 (1994), 525-534

    Google Scholar 

  • Kundu, D. (1994b): A modified Prony algorithm for sum of damped or undamped exponential signals, Sankhya A56 (1994), 525-544

    Google Scholar 

  • Kundu, D. (1997): Asymptotic theory of the least squares estimators of sinusoidal signal, Statistics 30 (1997), 221-238

    Google Scholar 

  • Kundu, D. and A. Mitra (1998): Fitting a sum of exponentials to equispaced data, Sankhya: The Indian Journal of Statistics 60 (1998), 448-463

    Google Scholar 

  • Kundu, D. and R.D. Gupta (1998): Asymptotic properties of the least squares estimators of a two dimensional model, Metrika 48 (1998), 83-97

    Google Scholar 

  • Kunst, R.M. (1997): Fourth order moments of augmented ARCH processes, Commun. Statist. Theor. Meth. 26 (1997), 1425-1441

    Google Scholar 

  • Kurz, S. (1996): Positionierung mittels Rückwartsschnitt in drei Dimensionen. Studienarbeit, Geodätisches Institut, University of Stuttgart, Stuttgart 1996.

    Google Scholar 

  • Kuo, W., Prasad, V.R., Tillman, F.A. and C.-L. Hwang (2001): Optimal reliability design, Cambridge University Press, Cambridge 2001

    Google Scholar 

  • Kuo, Y. (1976): An extended Kronecker product of matrices, J. Math. Anal. Appl. 56 (1976), 346-350

    Google Scholar 

  • Kupper, L.L. (1972): Fourier series and spherical harmonic regression, J. Roy. Statist. Soc. C21 (1972), 121-130

    Google Scholar 

  • Kupper, L.L. (1973): Minimax designs of Fourier series and spherical harmonic regressions: a characterization of rotatable arrangements, J. Roy. Statist. Soc. B35 (1973), 493-500

    Google Scholar 

  • Kurata, H. (1998): A generalization of Rao’s covariance structure with applications to several linear models, J. Multivar. Anal. 67 (1998), 297-305

    Google Scholar 

  • Kurz, L. and M.H. Benteftifa (1997): Analysis of variance in statistical image processing, Cambridge University Press, Cambridge 1997

    Google Scholar 

  • Kusche, J. (2001): Implementation of multigrid solvers for satellite gravity anomaly recovery, Journal of Geodesy 74 (2001), 773-782

    Google Scholar 

  • Kusche, J. (2002): Inverse Probleme bei der Gravitationsfeldbestimmung mittels SST- und SGG-Satellitenmissionen , Deutsche Geodätische Kommission, Report C548, München 2002

    Google Scholar 

  • Kusche, J. (2003): A Monte-Carlo technique for weight estimation in satellite geodesy, Journal of Geodesy 76 (2003), 641-652

    Google Scholar 

  • Kushner, H. (1967): Dynamical equations for optimal nonlinear filtering, J. Diff. Eq. 3 (1967), 179-190

    Google Scholar 

  • Kushner, H. (1967): Approximations to optimal nonlinear filters, IEEE Trans. Auto. Contr. AC-12 (1967), 546-556

    Google Scholar 

  • Kutoyants, Y.A. (1984): Parameter estimation for stochastic processes, Heldermann, Berlin 1984

    Google Scholar 

  • Kutterer, H. (1994): Intervallmathematische Behandlung endlicher Unschärfen linearer Ausgleichsmodelle, PhD Thesis, Deutsche Geodätische Kommission DGK C423, München 1994

    Google Scholar 

  • Kutterer, H. (1999): On the sensitivity of the results of least-squares adjustments concerning the stochastic model, Journal of Geodesy 73 (1999), 350-361

    Google Scholar 

  • Kutterer, H. (2002): Zum Umgang mit Ungewissheit in der Geodäsie - Bausteine für eine neue Fehlertheorie - , Deutsche Geodätische Kommission, Report C553, München 2002

    Google Scholar 

  • Kutterer, H. and S.Schön (1999): Statistische Analyse quadratischer Formen - der Determinantenansatz, Allg. Vermessungsnachrichten 10 (1999), 322-330

    Google Scholar 

  • Lagrange, J. L. (1877): Lecons eIementaires sur les mathematiques donnees a l’Ecole Normale en 1795. In: Oeuvres de Lagrange, Ed.: M. J. A. Serret, Tome 7, Section IV, Paris.

    Google Scholar 

  • Laha, R.G. (1956): On the stochastic independence of two second-degree polynomial statistics in normally distributed variates, The Annals of Mathematical Statistics 27 (1956), 790-796

    Google Scholar 

  • Laha R.G. and E. Lukacs (1960): On a problem connected with quadratic regression, Biometrika 47 (1960), 335-343

    Google Scholar 

  • Lai, T.L. and C.Z. Wie (1982): Least squares estimates in stochastic regression model with applications to stochastic regression in linear dynamic systems, Anals of Statistics 10 (1982), 154-166

    Google Scholar 

  • Lai, T.L. and C.P. Lee (1997): Information and prediction criteria for model selection in stochastic regression and ARMA models, Statistical Sinica 7 (1997) 285-309

    Google Scholar 

  • Laird, N.M. and J.H. Ware (1982): Random-effects models for longitudinal data, Biometrics 38 (1982), 963-974

    Google Scholar 

  • Lame, M. G. (1818): Examen des differentes methodes employees pour resoudre les problemes de geometrie. Paris

    Google Scholar 

  • LaMotte, L.R. (1973a): Quadratic estimation of variance components, Biometrics 29 (1973), 311-330

    Google Scholar 

  • LaMotte, L.R. (1973b): On non-negative quadratic unbiased estimation of variance components, J. Am. Statist. Ass. 68(343): 728-730.

    Google Scholar 

  • LaMotte, L.R. (1976): Invariant quadratic estimators in the random, one-way ANOVA model, Biometrics 32 (1976), 793-804

    Google Scholar 

  • LaMotte, L.R. (1996): Some procedures for testing linear hypotheses and computing RLS estimates in multiple regression. Tatra Mt. Math. Publ. 7 (1996), 113-126.

    Google Scholar 

  • LaMotte, L.R., McWhorter, A. and R.A. Prasad (1988): Confidence intervals and tests on the variance ratio in random models with two variance components, Com. Stat. - Theory Meth. 17 (1988), 1135-1164

    Google Scholar 

  • Lamperti, J. (1966): Probility: a survey of the mathematical theory, WA Benjamin Inc., New York 1966

    Google Scholar 

  • Lancaster, H.O. (1965): The helmert matrices, American Math. Monthly 72 (1965), 4-11

    Google Scholar 

  • Lancaster, H.O. (1966): Forerunners of the Pearson Chi2 , Australian Journal of Statistics 8 (1966), 117-126

    Google Scholar 

  • Langevin, P. (1905): Magnetisme et theorie des electrons, Ann. De Chim. et de Phys. 5 (1905), 70-127

    Google Scholar 

  • Lanzinger, H. and U. Stadtmüller (2000): Weighted sums for i.i.d. random variables with relatively thin tails, Bernoulli 6 (2000), 45-61

    Google Scholar 

  • Lapaine, M. (1990): “A new direct solution of the transformation problem of Cartesian into ellipsoidal coordinates”. Determination of the geoid: Present and future. Eds. R.H. Rapp and F. Sanso, pp. 395-404. Springer-Verlag, New York 1990.

    Google Scholar 

  • Laplace, P.S. (1793): Sur quelques points du Systeme du monde, Memoire de I’Academie royale des Sciences de Paris, in Oeuvres Completes, 11 (1793), pp. 477-558

    Google Scholar 

  • Laplace, P.S. (1811): Mémoiresur les intégrales définies et leur application aux probabilites et specialement a la recherche du milieu qu’il faut choisir entre les resultats des observations, Euvres completes XII, Paris, 1811, 357-412.

    Google Scholar 

  • Lardy, L.J. (1975): A series representation for the generalized inverse of a closed linear operator, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. 58 (1975), 152-157

    Google Scholar 

  • Lauer, S.: Dissertation, Bonn 1971

    Google Scholar 

  • Lauritzen, S. (1973): The probabilistic background of some statistical methods in Physical Geodesy, Danish Geodetic Institute, Maddelelse 48, Copenhagen 1973

    Google Scholar 

  • Lauritzen, S. (1974): Sufficiency, prediction and extreme models, Scand. J. Statist. 1 (1974), 128-134

    Google Scholar 

  • Läuter, H. (1970): Optimale Vorhersage und Schätzung in regulären und singulären Regressionsmodellen, Math. Operationsforschg. Statistik 1 (1970), 229-243

    Google Scholar 

  • Läuter, H. (1971): Vorhersage bei stochastischen Prozessen mit linearem Regressionsanteil, Math. Operationsforschg. Statistik 2 (1971), 69-85, 147-166

    Google Scholar 

  • Lawless, J.F. (1982): Statistical models and lifetime data, Wiley, New York 1982

    Google Scholar 

  • Lawley, D.N. (1938): A generalization of Fisher’s z-test. Biometrika, 30, 180-187

    Google Scholar 

  • Lawson, C.L. and R.J. Hanson (1995): Solving least squares problems, SIAM, Philadelphia 1995 (reprinting with corrections and a new appendix of a 1974 Prentice Hall text)

    Google Scholar 

  • Lawson, C.L. and R.J. Hanson (1974): Solving least squares problems, Prentice-Hal, Englewod Cliffs, NJ 1974

    Google Scholar 

  • Laycock, P.J. (1975): Optimal design: regression models for directions, Biometrika 62 (1975), 305-311

    Google Scholar 

  • LeCam, L. (1960): Locally asymptotically normal families of distributions, University of California Publication 3, Los Angeles 1960, 37-98

    Google Scholar 

  • LeCam, L. (1970): On the assumptions used to prove asymptotic normality of maximum likelihood estimators, Ann. Math. Statistics 41 (1970), 802-828

    Google Scholar 

  • LeCam, L. (1986): Proceedings of the Berkeley conference in honor of Jerzy Neyman and Jack Kiefer, Chapman and Hall, Boca Raton 1986

    Google Scholar 

  • Leichtweiss, K. (1962): -ober eine Art von Kriimmungsinvarianten beliebiger Untermannigfaltigkeiten des n-dimensionalen euklidischen Raums. Hbg. Math. Abh., Bd. XXVI, 156-190.

    Google Scholar 

  • Leis, R. (1967): Vorlesung”en Über partielle Differentialgleichungen zweiter Ordnung. Mannheim

    Google Scholar 

  • Lee, Y. W. (1960): Statistical theory of communication, New York 1960

    Google Scholar 

  • Lee, Y. W., in: Selected Papers of N. Wiener, MIT-Press 1964

    Google Scholar 

  • Lee, J.C. and S. Geisser (1996): On the Prediction of Growth Curves, in: Lee, C., Johnson, W.O. and A. Zellner (eds.): Modelling and Prediction Honoring Seymour Geisser, Springer-Verlag, Heidelberg Berlin New York 1996, 77-103

    Google Scholar 

  • Lee, J.C., Johnson, W.O. and A. Zellner (1996): Modeling and prediction, Springer-Verlag, Heidelberg Berlin New York 1996

    Google Scholar 

  • Lee, M. (1996): Methods of moments and semiparametric econometrics for limited dependent variable models, Springer-Verlag, Heidelberg Berlin New York 1996

    Google Scholar 

  • Lee, P. (1992): Bayesian statistics, J. Wiley, New York 1992

    Google Scholar 

  • Lee, S.L. (1995): A practical upper bound for departure from normality, Siam J. Matrix Anal. Appl. 16 (1995), 462-468

    Google Scholar 

  • Lee, S.L. (1996): Best available bounds for departure from normality, Siam J. Matrix Anal. Appl. 17 (1996), 984-991

    Google Scholar 

  • Lee, S.L. and J.-Q. Shi (1998): Analysis of covariance structures with independent and non-identically distributed observations, Statistica Sinica 8 (1998), 543-557

    Google Scholar 

  • Lee, Y. and J.A. Nelder (1996): Hierarchical generalized linear models, J. Roy. Statist. Soc. B58 (1996), 619-678

    Google Scholar 

  • Lee, Y., Neider, J. and Pawitan, Y. (2006): Generalized linear models with random effects, Chapman & Hall/CRC, New York

    Google Scholar 

  • Lehmann, E.L. (1959): Testing statistical hypotheses, J. Wiley, New York 1959

    Google Scholar 

  • Lehmann, E.L. and H. Scheffèe (1950): Completeness, similar regions and unbiased estimation, Part I, Sankya 10 (1950), 305-340

    Google Scholar 

  • Lehmann, E.L. and G.Casella (1998): Theory of point estimation, Springer-Verlag, Heidelberg Berlin New York 1998

    Google Scholar 

  • Leick, A. (1995): GPS satellite surveying, 2nd Edition, John Wiley & Sons, New York 1995.

    Google Scholar 

  • Leick, A. (2004): GPS Satellite Surveying, 3rd ed, John Wiley & Sons, New Jersey, 435p

    Google Scholar 

  • Lemmerling H., Van Huffel S. (2002): Structured total least squares. Analysis, algorithms and applications. In: Total least squares and errors-in-variables modelling. Analysis, algorithms and applications (S. Van Huffel et al., ed), Kluwer Academic Publishers, Dordrecht, 2002, pp. 79-91.

    Google Scholar 

  • Lenstra, H.W. (1983): Integer programming with a fixed number of variables, Math. Operations Res. 8 (1983), 538-548

    Google Scholar 

  • Lenth, R.V. (1981): Robust measures of location for directional data, Technometrics 23 (1981), 77-81

    Google Scholar 

  • Lenstra, A.K., Lenstra, H.W. and L. Lovacz (1982): Factoring polynomials with rational coefficients, Math. Ann. 261 (1982), 515-534

    Google Scholar 

  • Lentner, M.N. (1969): Generalized least-squares estimation of a subvector of parameters in randomized fractional factorial experiments, Ann. Math. Statist. 40 (1969), 1344-1352

    Google Scholar 

  • Lenzmann, L. (2003): Strenge Auswertung des nichtlnearen Gauß-Helmert-Modells, AVN 2 (2004), 68-73

    Google Scholar 

  • Lesaffre, E. and G. Verbeke (1998): Local influence in linear mixed models, Biometrics 54 (1998), 570-582

    Google Scholar 

  • Lesanska E. (2001): Insensitivity regions for testing hypotheses in mixed models with constraint. Tatra Mt. Math. Publ. 22 (2001), 209-222.

    Google Scholar 

  • Lesanska E. (2002): Effect of inaccurate variance components in mixed models with constraints. Folia Fac. Sci. Nat. Univ. Masarykianae Brunensis, Math. 11 (2002), 163-172.

    Google Scholar 

  • Lesanska E. (2002): Insensitivity regions and their properties. J. Electr. Eng. 53 (2002), 68-71.

    Google Scholar 

  • Lesanska E. (2002): Nonsensitiveness regions for threshold ellipsoids. Appl. Math., Praha 47, 5 (2002), 411-426.

    Google Scholar 

  • Lesanska E. (2002): Optimization of the size of nonsensitive regions. Appl. Math., Praha 47, 1 (2002), 9-23.

    Google Scholar 

  • Leslie, M. (1990): Turbulence in fluids, 2nd ed., Kluwer publ., Dordicht 1990

    Google Scholar 

  • Letac, G. and M. Mora (1990): Natural real exponential families with cubic variance functions, Ann. Statist. 18 (1990), 1-37

    Google Scholar 

  • Lether, F.G. and P.R. Wentson (1995): Minimax approximations to the zeros of Pn (x) and Gauss-Legendre quadrature, J. Comput. Appl. Math. 59 (1995), 245-252

    Google Scholar 

  • Levenberg, K. (1944): A method for the solution of certain non-linear problems in least-squares, Quaterly Appl. Math. 2 (1944) 164-168

    Google Scholar 

  • Levin, J. (1976): A parametric algorithm for drawing pictures of solid objects composed of quadratic surfaces, Communications of the ACM 19 (1976), 555-563

    Google Scholar 

  • Lewis, R.M. and V. Torczon (2000): Pattern search methods for linearly constrained minimization, SIAM J. Optim. 10 (2000), 917-941

    Google Scholar 

  • Lewis, T.O. and T.G. Newman (1968): Pseudoinverses of positive semidefinite matrices, SIAM J. Appl. Math. 16 (1968), 701-703

    Google Scholar 

  • Li, B.L. and C. Loehle (1995): Wavelet analysis of multiscale permeabilities in the subsurface, Geophys. Res. Lett. 22 (1995), 3123-3126

    Google Scholar 

  • Li, C.K. and R. Mathias (2000): Extremal characterizations of the Schur complement and resulting inequalities, SIAM Review 42 (2000), 233-246

    Google Scholar 

  • Liang, K. and K. Ryu (1996): Selecting the form of combining regressions based on recursive prediction criteria, in: Lee, C., Johnson, W.O. and A. Zellner (eds.): Modelling and prediction honoring Seymour Geisser, Springer-Verlag, Heidelberg Berlin New York 1996, 122-135

    Google Scholar 

  • Liang, K.Y. and S.L. Zeger (1986): Longitudinal data analysis using generalized linear models, Biometrika 73 (1986), 13-22

    Google Scholar 

  • Liang, K.Y. and S.L. Zeger (1995): Inference based on estimating functions in the presence of nuisance parameters, Statist. Sci. 10 (1995), 158-199

    Google Scholar 

  • Lichtenegger, H. (1995): Eine direkte Lösung des räumlichen Bogenschnitts, Österreichische Zeitschrift für Vermessung und Geoinformation 83} (1995) 224-226.

    Google Scholar 

  • Lilliefors, H.W. (1967): On the Kolmogorov-Smirnov test for normality with mean and variance unknown, J. Am. Statist. Ass.. 62 (1967), 399-402

    Google Scholar 

  • Lim, Y.B., Sacks, J. and Studden, W.J. (2002): Design and analysis of computer experiments when the output is highly correlated over the input space. Canad J Stat 30:109-126

    Google Scholar 

  • Lin, K.C. and Wang, J. (1995): Transformation from geocentric to geodetic coordinates using Newton’s iteration, Bulletin Geodesique 69} (1995) 300-303.

    Google Scholar 

  • Lin, X. and N.E. Breslow (1996): Bias correction in generalized linear mixed models with multiple components of dispersion, J. Am. Statist. Ass. 91 (1996), 1007-1016

    Google Scholar 

  • Lin, X.H. (1997): Variance component testing in generalised linear models with random effects, Biometrika 84 (1997), 309-326

    Google Scholar 

  • Lin, T. and Lee, J. (2007):.Estimation and prediction in linear mixed models with skew-normal random effects for longitudinal data. In Statistics in Medicine, published online

    Google Scholar 

  • Lindley, D.V. and A.F.M. Smith (1972): Bayes estimates for the linear model, J. Roy. Stat. Soc. 34 (1972), 1-41

    Google Scholar 

  • Lindsey, J.K. (1997): Applying generalized linear models, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Lindsey, J.K. (1999): Models for repeated measurements, 2nd edition, Oxford University Press, Oxford 1999

    Google Scholar 

  • Linke, J., Jurisch, R., Kampmann, G. and H. Runne (2000): Numerisches Beispiel zur Strukturanalyse von geodätischen und mechanischen Netzen mit latenten Restriktionen, Allgemeine Vermessungsnachrichten 107 (2000), 364-368

    Google Scholar 

  • Linkwitz, K. (1961): Fehlertheorie und Ausgleichung von Streckennetzen nach der Theorie elastischer Systeme. Deutsche Geodätische Kommission, Reihe C, Nr. 46.

    Google Scholar 

  • Linkwitz, K. (1989): Bemerkungen zu Linearisierungen in der Ausgleichungsrechnung. In: Prof. Dr.Ing. Dr. h.c. Friedrich Ackermann zum 60. Geburtstag, Schriftenreihe des Institutes fiir Photogrammetrie, Heft 14.

    Google Scholar 

  • Linkwitz, K. and Schek, H.J. (1971): Einige Bemerkungen zur Berechnung von vorgespannten Seilnetz-Konstruktionen. Ingenieur-Archiv, 40.

    Google Scholar 

  • Linnainmaa, S., Harwood, D. and Davis, L.S. (1988): Pose Determination of a Three-Dimensional Object Using Triangle Pairs, IEEE transaction on pattern analysis and Machine intelligence 105} (1988) 634-647.

    Google Scholar 

  • Linnik, J.V. and I.V. Ostrovskii (1977): Decomposition of random variables and vectors, Transl. Math. Monographs Vol. 48, American Mathematical Society, Providence 1977

    Google Scholar 

  • Lippitsch, A. (2007): A deformation analysis method for the metrological ATLAS cavern network at CERN, Ph.D. thesis, Graz University of Technology, Graz/Austria/2007

    Google Scholar 

  • Liptser, R.S. and A.N. Shiryayev (1977): Statistics of random processes, Vol. 1, Springer-Verlag, Heidelberg Berlin New York 1977

    Google Scholar 

  • Liski, E.P. and S. Puntanen (1989): A further note on a theorem on the difference of the generalized inverses of two nonnegative definite matrices, Commun. Statist.-Theory Meth. 18 (1989), 1747-1751

    Google Scholar 

  • Liski, E.P. and T. Nummi (1996): Prediction in repeated-measures models with engineering applications, Technometrics 38 (1996), 25-36

    Google Scholar 

  • Liski, E.P., Luoma, A., Mandal, N.K. and B.K. Sinha (1998): Pitman nearness, distance criterion and optimal regression designs, Calcutta Statistical Ass. Bull. 48 (1998), 191-192

    Google Scholar 

  • Liski, E.P., Mandal, N.K., Shah, K.R. and B.K. Sinha (2002): Topics in optimal design, Springer-Verlag, Heidelberg Berlin New York 2002

    Google Scholar 

  • Lisle, R. (1992): New method of estimating regional stress orientations: application to focal mechanism of data of recent British earthquakes, Geophys. J. Int., 110,276.,282

    Google Scholar 

  • Liu, J. (2000): MSEM dominance of estimators in two seemingly unrelated regressions, J. Statist. Planning and Inference 88 (2000), 255-266

    Google Scholar 

  • Liu, S. (2000): Efficiency comparisons between the OLSE and the BLUE in a singular linear model, J. Statist. Planning and Inference 84 (2000), 191-200

    Google Scholar 

  • Liu, X.-W. and Y.-X. Yuan (2000): A robust algorithm for optimization with general equality and inequality constraints, SIAM J. Sci. Comput. 22 (2000), 517-534

    Google Scholar 

  • Ljung, L. (1979): Asymptotic behavior of the extended Kalman filter as a parameter estimator for linear systems, IEEE Trans. Auto. Contr. AC-24 (1979), 36-50

    Google Scholar 

  • Lloyd, E.H. (1952): Least squares estimation of location and scale parameters using order statistics, Biometrika 39 (1952), 88-95

    Google Scholar 

  • Lohse, P. (1990): Dreidimensionaler Rückwärtsschnit. Ein Algorithmus zur Streckenberechnung ohne Hauptachsentransformation, Zeitschrift für Vermessungswesen 115} (1990) 162-167.

    Google Scholar 

  • Lohse, P. (1994): Ausgleichungsrechnung in nichtlinearen Modellen, Deutsche Geod. Kommission C 429, München 1994

    Google Scholar 

  • Lohse, P., Grafarend, E.W. and Schaffriin, B. (1989a): Dreidimensionaler Riickwartsschnitt. Teil IV, V, Zeitschrift fiir Vermessungswesen, 5, 225-234; 6, 278-287.

    Google Scholar 

  • Lohse, P., Grafarend, E.W. and Schaffriin, B. (1989b): Three-Dimensional Point Determination by Means of Combined Resection and Intersection. Paper presented at the Conference on 3-D Measurement Techniques, Vienna, Austria, September 18-20, 1989.

    Google Scholar 

  • Longford, N.T. (1993): Random coefficient models, Clarendon Press, Oxford 1993

    Google Scholar 

  • Longford, N. (1995): Random coefficient models, Oxford University Press, 1995

    Google Scholar 

  • Longley, J.W. and R.D. Longley (1997): Accuracy of Gram-Schmidt orthogonalization and Householder transformation for the solution of linear least squares problems, Numerical Linear Algebra with Applications 4 (1997), 295-303

    Google Scholar 

  • Lord, R.D. (1948): A problem with random vectors, Phil. Mag. 39 (1948), 66-71

    Google Scholar 

  • Lord, R.D. (1995): The use of the Hankel transform in statistics, I. General theory and examples, Biometrika 41 (1954), 44-55

    Google Scholar 

  • Lorentz, G.G. (1966): Metric entropy and approximation, Bull. Amer. Math. Soc. 72 (1966), 903-937

    Google Scholar 

  • Loskowski, P. (1991): Is Newton’s iteration faster than simple iteration for transformation between geocentric and geodetic coordinates? Bulletin Geodesique 65} (1991) 14-17.

    Google Scholar 

  • Lu, S., Molz, F.J. and H.H. Liu (2003): An efficient three dimensional anisotropic, fractional Brownian motion and truncated fractional LEVY motion simulation algorithm based on successive random additions, Computers and Geoscience 29 (2003) 15-25

    Google Scholar 

  • Ludlow, J. and W. Enders (2000): Estimating non-linear ARMA models using Fourier coefficients, International Journal of Forecasting 16 (2000), 333-347

    Google Scholar 

  • Lumley, J.L. (1970): Stochastic tools in turbulence, Academic Press, New York 1970

    Google Scholar 

  • Lumley, J.L. (1978): Computational modelling of turbulence, Advances in applied mechanics 18 (1978) 123-176

    Google Scholar 

  • Lumley, J.L. (1983): Turbulence modelling, J. App. Mech. Trans. ASME 50 (1983) 1097-1103

    Google Scholar 

  • Lund, U. (1999): Least circular distance regression for directional data, Journal of Applied Statistics 26 (1999), 723-733

    Google Scholar 

  • Lütkepol, H. (1996): Handbook of matrices, J. Wiley, New York 1996

    Google Scholar 

  • Lyubeznik, G. (1995): Minimal resultant system, Journal of Algebra 177} (1995) 612-616.

    Google Scholar 

  • Ma, X.Q. and Kusznir, N.J. (1992): 3-D subsurface displacement and strain fields for faults and fault arrays in a layered elastic half-space, Geophys. J. Int., 111, 542-558

    Google Scholar 

  • Mac Duffee, C.C. (1946): The theory of matrices (1933), reprint Chelsea Publ., New York 1946

    Google Scholar 

  • Macaulay, F. (1902): On some formulae in elimination, Proceeding in London Mathematical Society pp. 3-27, 1902.

    Google Scholar 

  • Macaulay, F. (1916): The algebraic theory of modular systems, Cambridge Tracts in Mathematics 19, Cambridge University Press, Cambridge 1916.

    Google Scholar 

  • Macaulay, F. (1921): Note on the resultant of a number of polynomials of the same degree, Proceeding in London Mathematical Society 21} (1921) 14-21.

    Google Scholar 

  • Macinnes, C.S. (1999): The solution to a structured matrix approximation problem using Grassmann coordinates, SIAM J. Matrix Analysis Appl. 21 (1999), 446-453

    Google Scholar 

  • Madansky, A. (1959): The fitting of straight lines when both variables are subject to error, J. Am. Statist. Ass. 54 (1959), 173-205

    Google Scholar 

  • Madansky, A. (1962): More on length of confidence intervals, J. Am. Statist. Ass. 57 (1962), 586-589

    Google Scholar 

  • Mader, G.L. (2003): GPS Antenna Calibration at the National Geodetic Survey. http://www.ngs.noaa.gov/ANTCAL/images/summary.pdf

    Google Scholar 

  • Maejima, M. (1978): Some Lp versions for the central limit theorem, Ann. Probability 6 (1978), 341-344

    Google Scholar 

  • Maekkinen, J. (2002): A bound for the Euclidean norm of the difference between the best linear unbiased estimator and a linear unbiased estimator, Journal of Geodesy 76 (2002), 317-322

    Google Scholar 

  • Maess, G. (1988): Vorlesungen über numerische Mathematik II. Analysis, Birkhäuser-Verlag, Basel Boston Berlin 1988

    Google Scholar 

  • Magder, L.S. and S.L. Zeger (1996): A smooth nonparametric estimate of a mixing distribution using mixtures of Gaussians, J. Am. Statist. Ass. 91 (1996), 1141-1151

    Google Scholar 

  • Magee, L. (1998): Improving survey-weighted least squares regression, J. Roy. Statist. Soc. B60 (1998), 115-126

    Google Scholar 

  • Magness, T.A. and J.B. McGuire (1962): Comparison of least-squares and minimum variance estimates of regression parameters, Ann. Math. Statist. 33 (1962), 462-470

    Google Scholar 

  • Magnus, J.R. and H. Neudecker (1988): Matrix differential calculus with applications in statistics and econometrics, J. Wiley, New York 1988

    Google Scholar 

  • Mahalanobis, P. C. (1930): On tests and measures of group divergence, J. and Proc. Asiat. Soc. Beng., 26, 341-5S8.

    Google Scholar 

  • Mahalanobis, P. C. (1936): On the generalized distance in statistics, Proc. Nat. Inst. Sci. India, 2, 49-55.

    Google Scholar 

  • Mahalanobis, A. and M. Farooq (1971): A second-order method for state estimation of nonlinear dynamical systems, Int. J. Contr. 14 (1971), 631-639

    Google Scholar 

  • Mahalanobis, P.C., Bose, R.C. and S.N. Roy (1937): Normalisation of statistical variates and the use of rectangular coordinates in the theory of sampling distributions, Sankhya 3 (1937), 1-40

    Google Scholar 

  • Mallet, A. (1986): A maximum likelihood estimation method for random coefficient regression models, Biometrika 73 (1986), 645-656

    Google Scholar 

  • Malliavin, P. (1997): Stochastic analysis, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Mallick, B., Denison, D. and Smith, A. (2000): Semiparamefric generalized linear models. Dey, D., Ghosh, S:ai1d MaJITck B.K. eds., Generalized linear models: A Bayesian perspective, Marcel Dekker, New York.

    Google Scholar 

  • Mallows, C.L. (1959): Latent roots and vectors of random matrices, Tech. Report 35, Statistical Tech. Research Group, Section of Math. Stat., Dept. of Math., Princeton University, Princeton, 1959

    Google Scholar 

  • Mallows, C.L. (1961): Latent vectors of random symmetric matrices, Biometrika 48 (1961), 133-149

    Google Scholar 

  • Malyutov, M.B. and R.S. Protassov (1999): Functional approach to the asymptotic normality of the non-linear least squares estimator, Statistics & Probability Letters 44 (1999), 409-416

    Google Scholar 

  • Mamontov, Y. and M.Willander (2001): High-dimensional nonlinear diffusion stochastic processes, World Scientific, Singapore 2001

    Google Scholar 

  • Mandel, J. (1994): The analysis of two-way layouts, Chapman and Hall, Boca Raton 1994

    Google Scholar 

  • Mangoubi, R.S. (1998): Robust estimation and failure detection, Springer-Verlag, Heidelberg Berlin New York 1998

    Google Scholar 

  • Manly, B.F. (1976): Exponential data transformation, The Statistican 25 (1976) 37-42

    Google Scholar 

  • Manocha, D. (1992): Algebraic and Numeric techniques for modeling and Robotics, Ph.D. thesis, Computer Science Division, Department of Electrical Engineering and Computer Science, University of California, Berkeley 1992.

    Google Scholar 

  • Manocha, D. (1993): Efficient algorithms for multipolynomial resultant, the Computer Journal 36} (1993) 485-496.

    Google Scholar 

  • Manocha, D. (1994a): Algorithms for computing selected solutions of polynomial equations, Extended abstract appearing in the proceedings of the ACM ISSAC 94.

    Google Scholar 

  • Manocha, D. (1994b): Computing selected solutions of polynomial equations, Proceedings of the International Sypmosium on Symbolic and Algebraic Computations ISSAC, July 20-22, pp. 1-8, Oxford 1994.

    Google Scholar 

  • Manocha, D. (1994c): Solving systems of polynomial equations, IEEE Computer Graphics and application, pp. 46-55, March 1994.

    Google Scholar 

  • Manocha, D. (1998): Numerical methods for solving polynomial equations, Proceedings of Symposia in Applied Mathematics 53} (1998) 41-66.

    Google Scholar 

  • Manocha, D. and Canny, J. (1991): Efficient techniques for multipolynomial resultant algorithms, Proceedings of the International Symposium on Symbolic Computations, July 15-17, 1991, pp. 86-95, Bonn 1991.

    Google Scholar 

  • Manocha, D. and Canny, J. (1992): Multipolynomial resultant and linear algebra, Proceedings of the International Symposium on Symbolic and Algebraic Computations ISSAC, July 27-29, 1992, pp. 158-167, Berkeley 1992.

    Google Scholar 

  • Manocha, D. and Canny, J. (1993): Multipolynomial resultant algorithms, Journal of Symbolic Computations 15} (1993) 99-122.

    Google Scholar 

  • Mardia, K.V. (1962): Multivariate Pareto distributions, Ann. Math. Statistics 33 (1962), 1008-1015

    Google Scholar 

  • Mardia, K.V. (1970a): Families of bivariate distributions, Griffin, London 1970

    Google Scholar 

  • Mardia, K.V. (1970b): Measures of multivariate skewness and kurtosis with applications, Biometrika 57 (1970), 519-530

    Google Scholar 

  • Mardia, K.V. (1972): Statistics of directional data, Academic Press, New York London 1972

    Google Scholar 

  • Mardia, K.V. (1975): Characterization of directional distributions, Statistical Distributions, Scientific Work 3 (1975), G.P. Patil et al. (eds.), 365-385

    Google Scholar 

  • Mardia, K.V. (1975): Statistics of directional data, J. Roy. Statist. Soc. B37 (1975), 349-393

    Google Scholar 

  • Mardia, K.V. (1976): Linear-circular correlation coefficients and rhythmometry, Biometrika 63 (1976), 403-405

    Google Scholar 

  • Mardia, K.V. (1988): Directional data analysis: an overview, J. Applied Statistics 2 (1988), 115-122

    Google Scholar 

  • Mardia, K.V. and M.L. Puri (1978): A robust spherical correlation coefficient against scale, Biometrika 65 (1978), 391-396

    Google Scholar 

  • Mardia, K.V., Kent, J. and J.M. Bibby (1979): Multivariate analysis, Academic Press, New York London 1979

    Google Scholar 

  • Mardia, K.V., Southworth, H.R. and C.C. Taylor (1999): On bias in maximum likelihood estimators, J. Statist. Planning and Inference 76 (1999), 31-39

    Google Scholar 

  • Mardia, K.V. and P.E. Jupp (1999): Directional statistics, J. Wiley, New York 1999

    Google Scholar 

  • Marinkovic, P, Grafarend, E. and T. Reubelt (2003): Space gravity spectroscopy: the benefits of Taylor-Karman structured criterion matrices, Advances in Geosciences 1 (2003), 113-120

    Google Scholar 

  • Maritz, J. S. (1953): Estimation of the correlation coefficient in the case of a bivariate normal population when one of the variables is dichotomized, Psychometrika, 18, 97-110.

    Google Scholar 

  • Mariwalla, K.H. (1971): Coordinate transformations that form groups in the large, in: De Sitter and Conformal Groups and their Applications, A.O. Barut and W.E. Brittin (Hrsg.), Vol. 13, 177-191, Colorado Associated University Press, Boulder 1971

    Google Scholar 

  • Markatou, M. and X. He (1994): Bounded influence and high breakdown point testing procedures in linear models, J. Am. Statist. Ass. 89, 543-49, 1994

    Google Scholar 

  • Markiewicz, A. (1996): Characterization of general ridge estimators, Statistics & Probability Letters 27 (1996), 145-148

    Google Scholar 

  • Markov, A.A. (1912): Wahrscheinlichkeitsrechnung, 2nd edition, Teubner, Leipzig 1912

    Google Scholar 

  • Marošsevièc, T. and D. Jukièc (1997): Least orthogonal absolute deviations problem for exponential function, Student 2 (1997), 131-138

    Google Scholar 

  • Marquardt, D.W. (1963): An algorithm for least-squares estimation of nonlinear parameters, J. Soc. Indust. Appl. Math. 11 (1963), 431-441

    Google Scholar 

  • Marquardt, D.W. (1970): Generalized inverses, ridge regression, biased linear estimation, and nonlinear estimation, Technometrics 12 (1970), 591-612

    Google Scholar 

  • Marriott, J. and P. Newbold (1998): Bayesian comparison of ARIMA and stationary ARMA models, Journal of Statistical Review 66 (1998), 323-336

    Google Scholar 

  • Marsaglia, G. and G.P.H. Styan (1972): When does rank (A + B) = rank A + rank B?, Canad. Math. Bull. 15 (1972), 451-452

    Google Scholar 

  • Marsaglia G. and G.P.H. Styan (1974a): Equalities and inequalities for ranks of matrices. Linear Multilinear Algebra 2 (1974), 269-292.

    Google Scholar 

  • Marsaglia G. and G.P.H. Styan (1974b): Rank conditions for generalized inverses of partitioned matrices. Sankhya, Ser. A 36 (1974), 437-442.

    Google Scholar 

  • Marshall, J. (2002): L1-norm pre-analysis measures for geodetic networks, Journal of Geodesy 76 (2002), 334-344

    Google Scholar 

  • Martinec, Z. (2002): Lecture Notes 2002. Scalar surface spherical harmonics, GeoForschungsZentrum Potsdam 2002

    Google Scholar 

  • Maruyama, Y. (1998): Minimax estimators of a normal variance, Metrika 48 (1998), 209-214

    Google Scholar 

  • Masry, E. (1997): Additive nonlinear ARX time series and projection estimates, Econometric Theory 13 (1997), 214-252

    Google Scholar 

  • Mastronardi, N., Lemmerling, P. and S. van Huffel (2000): Fast structured total least squares algorithm for solving the basic deconvolution problem, Siam J. Matrix Anal. Appl. 22 (2000), 533-553

    Google Scholar 

  • Masuyama, M. (1939): Correlation between tensor quantities, Proc. Phys.-Math. Soc. Japan, (3): 21, 638-647

    Google Scholar 

  • Masuyama, M. (1939b): Tensor characteristic of vector set,-Proc. Phys.-Math. Soc. Japan (3): 21-648

    Google Scholar 

  • Mathai, A.M. (1997): Jacobians of matrix transformations and functions of matrix arguments, World Scientific, Singapore 1997

    Google Scholar 

  • Mathai, A.M. and Provost, S.B. (1992): Quadratic Forms in Random Variables. Marcel Dekker, New York, 367p

    Google Scholar 

  • Mathar, R. (1997): Multidimensionale Skalierung, B. G. Teubner Verlag, Stuttgart 1997.

    Google Scholar 

  • Matheron, G. (1970): The theory of regionalized variables and its applications. Fascicule 5, Les Cahiers du Centre de Morphologie Mathematique. Ecole des Mines de Paris, Fontainebleau, 211 p

    Google Scholar 

  • Matheron, G. (1993): The intrinsic random functions and their applications, Adv. App. Prob. 5 (1973) 439-468

    Google Scholar 

  • Mathes, A. (1998): GPS und GLONASS als Teil eines hybrid Meßsystems in der geodäsie am Beispiel des Systems HIGGINS, Dissertationen, DGK, Reihe C, Nr. 500.

    Google Scholar 

  • Mathew, T. (1989): Optimum invariant tests in mixed linear models with two variance components, Statistical Data Analysis and Inference, Y. Dodge (ed.), North-Holland 1989, 381-388

    Google Scholar 

  • Mathew, T. (1997): Wishart and Chi-Square Distributions Associated with Matrix Quadratic Forms, J. Multivar. Anal. 61 (1997), 129-143

    Google Scholar 

  • Mathew, T. and B.K. Sinha (1988): Optimum tests in unbalanced two-way models without interaction, Ann. Statist. 16 (1988), 1727-1740

    Google Scholar 

  • Mathew, T. and S. Kasala (1994): An exact confidence region in multivariate calibration, The Annals of Statistics 22 (1994), 94-105

    Google Scholar 

  • Mathew, T. and W. Zha (1996): Conservative confidence regions in multivariate calibration, The Annals of Statistics 24 (1996), 707-725

    Google Scholar 

  • Mathew, T. and K. Nordström (1997): An inequality for a measure of deviation in linear models, The American Statistician 51 (1997), 344-349

    Google Scholar 

  • Mathew, T. and W. Zha (1997): Multiple use confidence regions in multivariate calibration, J. Am. Statist. Ass. 92 (1997), 1141-1150

    Google Scholar 

  • Mathew, T. and W. Zha (1998): Some single use confidence regions in a multivariate calibration problem, Applied Statist. Science III (1998), 351-363

    Google Scholar 

  • Mathew, T., Sharma, M.K. and K. Nordström (1998): Tolerance regions and multiple-use confidence regions in multivariate calibration, The Annals of Statistics 26 (1998), 1989-2013

    Google Scholar 

  • Mathias, R. and G.W. Stewart (1993): A block QR algorithm and the singular value decomposition, Linear Algebra Appl. 182 (1993), 91-100

    Google Scholar 

  • Matz, G., Hlawatsch, F. and Kozek, W. (1997): Generalized evolutionary spectral analysis and the Weyl-spectrum of non stationary random processes. In IEEE Trans. Signal. Proc., vol. 45, no. 6, pp. 1520-1534.

    Google Scholar 

  • Mauly, B.F.J. (1976): Exponential data transformations, Statistician 27 (1976), 37-42

    Google Scholar 

  • Mautz, R. (2001): Zur Lösung nichtlinearer Ausgleichungsprobleme bei der Bestimmung von Frequenzen in Zeitreihen, DGK, Reihe C, Nr. 532.

    Google Scholar 

  • Mautz, R. (2002): Solving nonlinear adjustment problems by global optimization, Boll. di Geodesia e Scienze Affini 61 (2002), 123-134

    Google Scholar 

  • Maxwell, S.E. (2003): Designig experiments and analyzing data. A model comparison perspective, Lawrence Erlbaum Associates, Publishers, London New Jersey 2003

    Google Scholar 

  • Maybeck, P. (1979): Stochastic models, estimation, and control, Vol. 1, Academic Press, New York London 1979

    Google Scholar 

  • Maybeck, P. (1982): Stochastic models, estimation and control, Vol. 1 and 2, Academic Press, Washington 1982

    Google Scholar 

  • Mayer, D.H. (1975): Vector and tensor fields on conformal space, J. Math. Physics 16 (1975), 884-893

    Google Scholar 

  • McComb, W.D. (1990): the physics of fluid turbulence, Clarendon Press, 572 pages, Oxford 1990

    Google Scholar 

  • McCullagh, P. (1983): Quasi-likelihood functions, The Annals of Statistics 11 (1983), 59-67

    Google Scholar 

  • McCullagh, P. (1987): Tensor methods in statistics, Chapman and Hall, London 1987

    Google Scholar 

  • McCullagh, P. and Nelder, J.A. (1989): Generalized linear models, Chapman and Hall, London 1989

    Google Scholar 

  • McCullagh, P. and Nelder, L. (2006): Generalized linear models. Chapman and Hall, CRC, New York

    Google Scholar 

  • McCulloch, C.E. (1997): Maximum likelihood algorithms for generalized linear mixed models, J. Am. Statist. Ass. 92 (1997), 162-170

    Google Scholar 

  • McCulloch, C.E. and S.R. Searle (2001): Generalized, linear, and mixed models, J. Wiley, New York 2001

    Google Scholar 

  • McElroy, F.W. (1967): A necessary and sufficient condition that ordinary least-squares estimators be best linear unbiased, J. Am. Statist. Ass. 62 (1967), 1302-1304

    Google Scholar 

  • McGaughey, D.R. and G.J.M Aitken (2000): Statistical analysis of successive random additions for generating fractional Brownian motion, Physics A 277 (2000) 25-34

    Google Scholar 

  • McGilchrist, C.A. (1994): Estimation in generalized mixed models, J. Roy. Statist. Soc. B56 (1994), 61-69

    Google Scholar 

  • McGilchrist, C.A. and C.W. Aisbett (1991): Restricted BLUP for mixed linear models, Biometrical Journal 33 (1991), 131-141

    Google Scholar 

  • McGilchrist, C.A. and K.K.W. Yau (1995): The derivation of BLUP, ML, REML estimation methods for generalised linear mixed models, Commun. Statist.-Theor. Meth. 24 (1995), 2963-2980

    Google Scholar 

  • McMorris, F.R. (1997): The median function on structured metric spaces, Student 2 (1997), 195-201

    Google Scholar 

  • Meditch, J.S. (1969): Stochastic optimal linear estimation and control, McGraw Hill, New York 1969

    Google Scholar 

  • Meetz, K. and W.L. Engl (1980): Electromagnetic field, Springer

    Google Scholar 

  • Mehta, M.L. (1967): Random/matrices and the statistical theory of energy levels, Academic Press, New York

    Google Scholar 

  • Mehta, M.L. (1991): Random matrices, Academic Press, New York London 1991

    Google Scholar 

  • Meidow, J., Beder, C. and Forstner, W. (2009): Reasoning with uncertain points, straight lines, and straight line segments in 20. ISPRS Journal of Photogrammetry and Remote Sensing, 64. Jg. 2009, Heft: 2, S. 125-139.

    Google Scholar 

  • Meidow, J., Förstner, W. and C. Beder (2009): Optimal parameter estimation with homogeneous entities and arbitrary constraints, pappers recognition, proc. 31st DAGM Sym. , Jena, Germany, pages 292-301, Springer Verlag, Berlin-Heidelberg 2010

    Google Scholar 

  • Meier, S. (1967): Die Terrestriche Refraktion in Kongsfjord (West Spitzbergen), Geod. Geophys. Vertiff., Reihe 3, pp. 32-51, Berlin 1967

    Google Scholar 

  • Meier, S. (1970): Beitrdge zur Refraktion in Kohen Breiten, Geod. Geophys. Veroff., Reihe, Berlin 1970

    Google Scholar 

  • Meier, S. (1975): Zur Geninigkert der Trigonometrischen Hohen messung über Eis bei stabiler Temperatur and Refrektions schichtung, Vermessungstechnik 23 (1975) 382-385

    Google Scholar 

  • Meier, S. (1976): Über die Abhungigkeit der Refraktions schwankung von der Zeileite, vermessungstechnik 24 (1976) 378-382

    Google Scholar 

  • Meier, S. (1977): Zur Refraktions schwankung in der turbulenten unterschicht der Atmosphere Vermassungstechnik 25 (1977) 332-335

    Google Scholar 

  • Meier, S. (1978): Stochastische Refreaktions modelle, Geod. Geophys. Reihe3, 40 (1978) 63-73

    Google Scholar 

  • Meier, S. (1978): Refraktions schwankung and Turbilenz, Geod. Geophy. Reihe3, 41, (1978) 26-27

    Google Scholar 

  • Meier, S. (1981): Planar geodetic covariance functions , Rev. of Geophysics and Space Physics 19 (1981) 673-686

    Google Scholar 

  • Meier, S. (1982): Stochastiche Refraktions modell für Zielstrahlen in dreidimensionalen Euklischen Raum Vermessungstechnik 30 (1982) 55-57

    Google Scholar 

  • Meier, S. (1982): Stochastiche Refraktions modell für Zielstrahlen in eiven Vertikalchene der Freien Atmosphere Vermessungstechnik 30 (1982) 55-57

    Google Scholar 

  • Meier, S. (1982): Varianz and Erhaltungs neiyung der lokalen Lichtstrahlkrummung in Bodennahe, Vermessungstechnik 30 (1982) 420-423

    Google Scholar 

  • Meier, S. and W. Keller (1990): Geostatistik, Einfuhrung in der Theorie der Zufulls prozesse, Springer Verley, Wein New York 1990

    Google Scholar 

  • Meinhold, P. und E. Wagner (1979): Partielle Differentialgleichungen. Frankfurt/Main.

    Google Scholar 

  • Meissl, P. (1965): über die Innere Genauigkeit dreidimensionaler Punkthaufen, Z. Vermessungswesen 90 (1965), 198-118

    Google Scholar 

  • Meissl, P. (1969): Zusammenfassung und Ausbau der inneren Fehlertheorie eines Punkthaufens, Deutsche Geod. Kommission A61, München 1994, 8-21

    Google Scholar 

  • Meissl, P. (1970): Ober die Fehlerfortpflanzung in gewissen regelmaBigen flachig ausgebreiteten Nivellementnetzen. Zeitschrift für Vermessungswesen 2i, 103-109.

    Google Scholar 

  • Meissl, P. (1976): Hilbert spaces and their application to geodetic least-squares problems, Bolletino di Geodesia e Scienze Affini 35 (1976), 49-80

    Google Scholar 

  • Meissl, P. (1982): Least squares adjustment. A modern approach, Mitteilungen der geodätischen Institut der Technischen Universität Craz, Folge 43.

    Google Scholar 

  • Melas, V.B. (2006): Functional approach to optimal experimental design. Springer, Berlin

    Google Scholar 

  • Melbourne, W. (1985): The case of ranging in GPS-based geodetic systems, Proc.1st Int.Symp. on Precise Positioning with GPS, Rockville, Maryland (1985), 373-386

    Google Scholar 

  • Menz, J. (2000): Forschungsergebnisse zur Geomodellierung und deren Bedeutung, Manuskript 2000

    Google Scholar 

  • Menz, J. and N. Kolesnikov (2000): Bestimmung der Parameter der Kovarianzfunktionen aus den Differenzen zweier Vorhersageverfahren, Manuskript, 2000

    Google Scholar 

  • Merriman, M. (1877): On the history of the method of least squares, The Analyst 4 (1877)

    Google Scholar 

  • Merriman, M. (1884): A textbook on the method of least squares, J. Wiley, New York 1884

    Google Scholar 

  • Merrit, E. L. (1949): Explicit Three-point resection in space, Phot. Eng. 15} (1949) 649-665.

    Google Scholar 

  • Meyer, C.D. (1973): Generalized inverses and ranks of block matrices, SIAM J. Appl. Math. 25 (1973), 597-602

    Google Scholar 

  • Mhaskar, H.N., Narcowich, F.J and J.D. Ward (2001): Representing and analyzing scattered data on spheres, In: Multivariate Approximations and Applications, Cambridge University Press, Cambridge 2001, 44-72

    Google Scholar 

  • Mierlo van, J. (1980): Free network adjustment and S-transformations, Deutsche Geod. Kommission B252, München 1980, 41-54

    Google Scholar 

  • Mierlo van, J. (1982): Difficulties in defining the quality of geodetic networks. Proceedings Survey Control Networks, ed. Borre, K., Welsch, W.M., Vol. 7, pp. 259-274. Schriftenreihe Wiss. Studiengang Vermessungswesen, Hochschule der Bundeswehr, München.

    Google Scholar 

  • Migon, H.S. and D. Gammermann (1999): Statistical inference, Arnold London 1999

    Google Scholar 

  • Milbert, D. (1979): Optimization of Horizontal Control Networks by nonlinear Programming. NOAA, Technical Report NOS 79 NGS 12, Rockville

    Google Scholar 

  • Millar, A.M. and Hamilton, D.C. (1999): Modern outlier detection methods and their effect on subsequent inference. J. Stat. Comput. Simulation 64, 2 (1999), 125-150.

    Google Scholar 

  • Miller, R.G. (1966): Simultaneous statistical inference, Mc Graw-Hill Book Comp., New York 1966

    Google Scholar 

  • Mills, T.C. (1991): Time series techniques for economists, Cambridge University Press, Cambridge 1991

    Google Scholar 

  • Minzhong, J. and C. Xiru (1999): Strong consistency of least squares estimate in multiple regression when the error variance is infinite, Statistica Sinica 9 (1999), 289-296

    Google Scholar 

  • Minkler, G. and J. Minkler (1993): Theory and application of Kalman filtering, Magellan Book Company 1993

    Google Scholar 

  • Minoux, M. (1986): Mathematical Programming. John Wiley & Sons, Chicester.

    Google Scholar 

  • Mirsky, C. (1960): Symmetric gauge functions and unitarily invariant norms, Quarterly Journal of Mathematics, 11 (1960), pp. 50-59

    Google Scholar 

  • Mises, von R. (1918): Ueber die Ganzzahligkeit der Atomgewichte und verwandte Fragen, Phys.Z. 19 (1918) 490-500

    Google Scholar 

  • Mises von, R. (1945): On the classification of observation data into distinct groups, Annals of Mathematical Statistics, 16, 68-73.

    Google Scholar 

  • Misra, P. and Enge, P. (2001): Global Positioning System-Signals, Measurement, and Performance. Ganga-Jamuna Press, Lincoln, Massachusetts, 2001

    Google Scholar 

  • Misra, R.K. (1996): A multivariate procedure for comparing mean vectors for populations with unequal regression coefficient and residual covariance matrices, Biometrical Journal 38 (1996), 415-424

    Google Scholar 

  • Mitchell, T.J. and Morris, M.D. (1992): Bayesian design and analysis of computer experiments: two examples. Stat Sinica 2:359-379

    Google Scholar 

  • Mitra, S.K. (1971): Another look at Rao’s MINQUE of variance components, Bull. Inst. Inernat. Stat. Assoc., 44 (1971), pp. 279-283

    Google Scholar 

  • Mitra, S.K. (1982): Simultaneous diagonalization of rectangular matrices, Linear Algebra Appl. 47 (1982), 139-150

    Google Scholar 

  • Mitra, S.K. and Rao, C.R. (1968): Some results in estimation and tests of linear h-ypotheses under the Gauss-Markov model. Sankhya, Ser. A, 30 (1968), 281-290.

    Google Scholar 

  • Mittermayer, E. (1972): A generalization of least squares adjustment of free networks, Bull. Geod. No. 104 (1972) 139-155.

    Google Scholar 

  • Moenikes, R., Wendel, J. and Trommer, G.F. (2005): A modified LAMBDA method for ambiguity resolution in the presence of position domain constraints. In: Proceedings ION GNSS2005. Long Beach

    Google Scholar 

  • Mohan, S.R. and S.K. Neogy (1996): Algorithms for the generalized linear complementarity problem with a vertical block Z-matrix, Siam J. Optimization 6 (1996), 994-1006

    Google Scholar 

  • Moire, C. and J.A. Dawson (1992): Distribution, Chapman and Hall, Boca Raton 1996

    Google Scholar 

  • Molenaar, M. (1981): A further inquiry into the theory of S - transformations and criterion matrices. Neth. Geod. Comm., Publ. on Geodesy. New Series, Vol. 6, Nr. 1, Delft

    Google Scholar 

  • Möller, H. M. (1998): Gröbner bases and numerical analysis, In Groebner bases and applications. Eds. B. Buchberger and F. Winkler, London mathematical society lecture note series 251. Cambridge university press, pp. 159-177, 1998.

    Google Scholar 

  • Molz, F.J., Liu, H.H. and Szulga, J. (1987): Fractional Brownian motion and fractional Gaussian noise in subsurface hydrology: A review, presentation of fundamental properties and extensions, Water Resour. Res., 33(10), 2273-2286z

    Google Scholar 

  • Money, A.H. et al. (1982): The linear regression model: Lp-norm estimation and the choice of p, Commun. Statist. Simul. Comput. 11 (1982), 89-109

    Google Scholar 

  • Monin, A.S. and A.M. Yaglom (1981): Statistical fluid mechanics: mechanics of turbulence, Vol. 2, The Mit Press, Cambridge 1981

    Google Scholar 

  • Monin, A.S. and A.M. Yaglom (1971): Statistical fluid mechanics, Vol I, 769 pages, MIT Press, Cambridge/Mass 1971

    Google Scholar 

  • Monin, A.S. and A.M. Yaglom (1975): Statistical fluid mechanics, Vol II, 874 pages, pages, MIT Press, Cambridge/Mass 1975

    Google Scholar 

  • Montfort van, K. (1989): Estimating in structural models with non-normal distributed variables: some alternative approaches, ’Reprodienst, Subfaculteit Psychologie’, Leiden 1989

    Google Scholar 

  • Montgomery, D.C. (1996): Introduction to statistical quality control, 3rd edition, J. Wiley, New York 1996

    Google Scholar 

  • Montgomery, D.C., Peck, E.A. and Vining, G.G. (2001): Introduction to linear regression analysis. John Wiley & Sons, Chichester, 2001 (3rd ed).

    Google Scholar 

  • Mood, A.M., Graybill, F.A. and D.C. Boes (1974): Introduction to the theory of statistics, 3rd ed., McGraw-Hill, New York 1974

    Google Scholar 

  • Moon, M.S. and R.F. Gunst (1994): Estimation of the polynomial errors-in-variables model with decreasing error variances, J. Korean Statist. Soc. 23 (1994), 115-134

    Google Scholar 

  • Moon, M.S. and R.F. Gunst (1995): Polynomial measurement error modeling, Comput. Statist. Data Anal. 19 (1995), 1-21

    Google Scholar 

  • Moore, E.H. (1900): A fundamental remark concerning determinantal notations with the evaluation of an important determinant of special form, Ann. Math. 2 (1900), 177-188

    Google Scholar 

  • Moore, E.H. (1920): On the reciprocal of the general algebraic matrix, Bull. Amer. Math. Soc. 26 (1920), 394-395

    Google Scholar 

  • Moore, E.H. (1935): General Analysis, Memoirs American Philosophical Society, pp. 147-209, New York1.5pc]Please update ref. Moore and Nashed (1974).

    Google Scholar 

  • Moore, E.H. and M.Z. Nashed (1974): A general approximation theory of generalized inverses of linear operators in Banoch spaces, SIAM J. App. Math. 27 (1974)

    Google Scholar 

  • Moors, J.J.A., and van Houwelingen, V.C. (1987): Estimation of linear models with inequality restrictions, Tilburg University Research report FEW 291, The Netherlands

    Google Scholar 

  • Morgan, B.J.T. (1992): Analysis of quantal response data, Chapman and Hall, Boca Raton 1992

    Google Scholar 

  • Morgan, A.P. (1992): Polynomial continuation and its relationship to the symbolic reduction of polynomial systems, In Symbolic and Numerical Computations for Artificial Intelligence, pp. 23-45, 1992.

    Google Scholar 

  • Morgenthaler, S. (1992): Least-absolute-deviations fits for generalized linear models, Biometrika 79 (1992), 747-754

    Google Scholar 

  • Morgera, S. (1992): The role of abstract algebra in structured estimation theory, IEEE Trans. Inform. Theory 38 (1992), 1053-1065

    Google Scholar 

  • Moritz, H. (1972): Advanced least - squares estimation. The Ohio State University, Department of Geodetic Science, Report No. 175, Columbus..

    Google Scholar 

  • Moritz, H. (1973): Least-squares collocation. DGK, A 59, Muenchen

    Google Scholar 

  • Moritz, H. (1976): Covariance functions in least-squares collocation, Rep. Ohio State Uni. 240

    Google Scholar 

  • Moritz, H. (1978): The operational approach to physical geodesy. The Ohio State University, Department of Geodetic Science, Report 277, Columbus

    Google Scholar 

  • Moritz, H. (1980): Advanced physical geodesy. Herbert Wichmann Verlag Karlsruhe

    Google Scholar 

  • Moritz, H. and Suenkel, H. (eds) (1978): Approximation methods in geodesy. Sammlung Wichmann Neue Folge, Band 10, Herbert Wichmann Verlag

    Google Scholar 

  • Morris, C.N. (1982): Natural exponential families with quadratic variance functions, Ann. Statist. 10 (1982), 65-80

    Google Scholar 

  • Morris, M.D. and Mitchell, T.J. and Ylvisaker, D. (1993): Bayesian design and analysis of computer experiments: use of derivatives in surface prediction. Technometrics 35:243-255

    Google Scholar 

  • Morrison, D.F. (1967): Multivariate statistical methods, Mc Graw-Hill Book Comp., New York 1967

    Google Scholar 

  • Morrison, T.P. (1997): The art of computerized measurement, Oxford University Press, Oxford 1997

    Google Scholar 

  • Morsing, T. and C. Ekman (1998): Comments on construction of confidence intervals in connection with partial least-squares, J. Chemometrics 12 (1998), 295-299

    Google Scholar 

  • Moser, B.K. and J.K. Sawyer (1998): Algorithms for sums of squares and covariance matrices using Kronecker Products, The American Statistician 52 (1998), 54-57

    Google Scholar 

  • Mount, V.S. and Suppe J. (1992): Present-day stress orientations adjacent to active strike-slip faults: California and Sumatra, J. geophys. Res., B97, 11995-12013

    Google Scholar 

  • Moutard, T. (1894): Notes sur la propagation des ondes et les èequations de l’hydroudynamique, Paris 1893, reprint Chelsea Publ., New York 1949

    Google Scholar 

  • Mudholkar, G.S. (1997): On the efficiencies of some common quick estimators, Commun. Statist.-Theory Meth. 26 (1997), 1623-1647

    Google Scholar 

  • Mukhopadhyay, P. and R. Schwabe (1998): On the performance of the ordinary least squares method under an error component model, Metrika 47 (1998), 215-226

    Google Scholar 

  • Mueller, C.H. (1997): Robust planning and analysis of experiments, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Mueller, C.H. (1998): Breakdown points of estimators for aspects of linear models, in: MODA 5 - Advances in model-oriented data analysis and experimental design, Proceedings of the 5th International Workshop in Marseilles, eds. Atkinson, A.C., Pronzato, L. and H.P. Wynn, Physica-Verlag, Heidelberg 1998

    Google Scholar 

  • Mueller, H. (1985): Second-order design of combined linear-angular geodetic networks, Bull. Geodèesique 59 (1985), 316-331

    Google Scholar 

  • Muller, B., Zoback, M.L., Fuchs, K., Mastin, L., Geregersen, S., Pavoni, N., Stephansson, O. and Ljunggren, C. (1992): Regional patterns of tectonic stress in Europe, J. geophys. Res., B97, 11783-11803

    Google Scholar 

  • Muller, D.E. (1956): A method for solving algebraic equations using an automatic computer. Mathematical Tables and other Aids to Computation, Vol. X, No. 56, 208-215.

    Google Scholar 

  • Müller, F.J. (1925): Direkte (Exakte) Lösungen des einfachen Rückwarscnittseinschneidens im Raum. 1 Teil, Zeitschrift für Vermessungswesen 37} (1925) 249-255, 265-272, 349-353, 365-370, 569-580.

    Google Scholar 

  • Müller, H. and M. Illner (1984): Gewichtsoptimierung geodätischer Netze. Zur Anpassung von Kriteriummatrizen bei der Gewichtsoptimierung, Allgemeine Vermessungsnachrichten (1984), 253-269

    Google Scholar 

  • Müller, H. and G. Schmitt (1985): SODES2 - Ein Programm-System zur Gewichtsoptimierung zweidimensionaler geodätischer Netze. Deutsche Geodätische Kommission, München, Reihe B, 276 (1985)

    Google Scholar 

  • Müller, W.G. (2005): A comparison of spatial design methods for correlated observations. Environmetrics 16:495-505

    Google Scholar 

  • Müller, W.G. and Pazman, A. (1998): Design measures and approximate information matrices for experiments without replications. J Stat Plan Inf 71:349-362

    Google Scholar 

  • Müller, W.G. and Pazman, A. (1999): An algorithm for the computation of optimum designs under a given covariance structure. J Comput Stat 14:197-211

    Google Scholar 

  • Müller, W.G. and Pazman, A. (2003): Measures for designs in experiments with correlated errors. Biometrika 90:423-434

    Google Scholar 

  • Müller, P., Sanso, B. and De Iorio, M. (2004): Optimal Bayesian design by inhomogeneous Markov Chain simulation. J Am Stat Assoc 99: 788-798

    Google Scholar 

  • Mueller, J. (1987): Sufficiency and completeness in the linear model, J. Multivar. Anal. 21 (1987), 312-323

    Google Scholar 

  • Mueller, J., Rao, C.R. and B.K. Sinha (1984): Inference on parameters in a linear model: a review of recent results, in: Experimental design, statistical models and genetic statistics, K. Hinkelmann (ed.), Chap. 16, Marcel Dekker, New York 1984

    Google Scholar 

  • Mueller, W. (1995): An example of optimal design for correlated observations, Österreichische Zeitschrift für Statistik 24 (1995), 9-15

    Google Scholar 

  • Mueller, W. (1998): Spatial data collection, contributions to statistics, Physica Verlag, Heidelberg 1998

    Google Scholar 

  • Mueller, W. (1998): Collecting spatial data - optimum design of experiments for random fields, Physica-Verlag, Heidelberg 1998

    Google Scholar 

  • Mueller, W. (2001): Collecting spatial data - optimum design of experiments for random fields, 2nd ed., Physica-Verlag, Heidelberg 2001

    Google Scholar 

  • Mueller, W. and A. Pèazman (1998): Design measures and extended information matrices for experiments without replications, J. Statist. Planning and Inference 71 (1998), 349-362

    Google Scholar 

  • Mueller, W. and A.Pèazman (1999): An algorithm for the computation of optimum designs under a given covariance structure, Computational Statistics 14 (1999), 197-211

    Google Scholar 

  • Mueller-Gronbach, T. (1996): Optimal designs for approximating the path of a stochastic process, J. Statist. Planning and Inference 49 (1996), 371-385

    Google Scholar 

  • Muir, T. (1911): The theory of determinants in the historical order of development, volumes 1-4, Dover, New York 1911, reprinted 1960

    Google Scholar 

  • Muirhead, R.J. (1982): Aspects of multivariate statistical theory, J. Wiley, New York 1982

    Google Scholar 

  • Mukherjee, K. (1996): Robust estimation in nonlinear regression via minimum distance method, Mathematical Methods of Statistics 5 (1996), 99-112

    Google Scholar 

  • Mukhopadhyay, N. (2000): Probability and statistical inference, Dekker, New York 2000

    Google Scholar 

  • Muller, C. (1966): Spherical harmonics - Lecture notes in mathematics 17 (1966), Springer-Verlag, Heidelberg Berlin New York, 45 pp.

    Google Scholar 

  • Muller, D. and Wei, W.W.S. (1997): Iterative least squares estimation and identification of the tranfer function model, J. Time Series Analysis 18 (1997), 579-592

    Google Scholar 

  • Mundt, W. (1969): Statistische Analyse geophysikalischer Potentialfelder hinsichtlich Aufbau und Struktur der tieferen, Erdkruste, Deutsche Akademic der Wissen schaften, Berlin 1969

    Google Scholar 

  • Munoz-Pichardo, J.M., Munoz-Garcèìa, J., Fernèandez-Ponce, J.M. and F. Lèopez-Blèaquez (1998): Local influence on the general linear model, Sankhya: The Indian Journal of Statistics 60 (1998), 269-292

    Google Scholar 

  • Musyoka, S. M. (1999): Ein Modell für ein vierdimensionales integriertes regionales geodätisches Netz, Ph. D. thesis, Department of Geodesy, University of Karlsruhe (Internet Publication), 1999.

    Google Scholar 

  • Murray, F.J. and J. von Neumann (1936): On rings of operator I, Ann. Math. 37 (1936), 116-229

    Google Scholar 

  • Murray, J.K. and J.W. Rice (1993): Differential geometry and statistics, Chapman and Hall, Boca Raton 1993

    Google Scholar 

  • Myers, J.L. (1979): Fundamentals of experimental designs, Allyn and Bacon, Boston 1979

    Google Scholar 

  • Naes, T. and H. Martens (1985): Comparison of prediction methods for multicollinear data, Commun. Statist. Simulat. Computa. 14 (1985), 545-576

    Google Scholar 

  • Nagaev, S.V. (1979): Large deviations of sums of independent random variables, Ann. Probability 7 (1979), 745-789

    Google Scholar 

  • Nagar, A.L. and N.C. Kakwani (1964): The bias and moment matrix of a mixed regression estimator, Econometrica, 32 (1964), pp. 174-182

    Google Scholar 

  • Nagar, A.L. and N.C. Kakwani (1969): Note on the use of prior information in statistical estimation of econometrics relation, Sankhya series A 27, (1969), pp. 105-112

    Google Scholar 

  • Nagar, D.K. and A.K. Gupta (1996): On a test statistic useful in Manova with structured covariance matrices, J. Appl. Stat. Science 4 (1996), 185-202

    Google Scholar 

  • Nagaraja, H.N. (1982): Record values and extreme value distributions, J. Appl. Prob. 19 (1982), 233-239

    Google Scholar 

  • Nagarsenker, B.N. (1977): On the exact non-null distributions of the LR criterion in a general MANOVA model, Sankya A39 (1977), 251-263

    Google Scholar 

  • Nakamura, N. and S.Konishi (1998): Estimation of a number of components for multivariate normal mixture models based on information criteria, Japanese J. Appl. Statist. 27 (1998), 165-180

    Google Scholar 

  • Nakamura, T. (1990): Corrected score function for errors-invariables models: methodology and application to generalized linear models, Biometrika 77 (1990), 127-137

    Google Scholar 

  • Namba, A. (2001): MSE performance of the 2SHI estimator in a regression model with multivariate t error terms, Statistical Papers 42(2001), 82-96

    Google Scholar 

  • Nashed, M.Z. (1970): Steepest descent for singular linear operator equations, SIAM J. Number. Anal. 7 (1970), pp. 358-362

    Google Scholar 

  • Nashed, M.Z. (1971): Generalized inverses, normal solvability, and iteration for singular operator equations pp. 311-359 in Nonlinear Functional Analysis and Applications (L. B. Rail, editor), Academic Press, New York, 1971

    Google Scholar 

  • Nashed, M.Z. (1974): Generalized Inverses and Applications, Academic Press, New York 1974

    Google Scholar 

  • Nashed, M.Z. (1976): Generalized inverses and applications, Academic Press, New York London 1976

    Google Scholar 

  • Näther, W. (1985): Exact designs for regression models with correlated errors, Statistics 16 (1985), 479-484

    Google Scholar 

  • Näther, W. and Wälder, K. (2003): Experimental design and statistical inference for cluster point processeswith applications to the fruit dispersion of Anemochorous forest trees, Biometrical J 45, pp. 1006-1022, 2003

    Google Scholar 

  • Näther, W. and Wälder, K. (2007): Applying fuzzy measures for considering interaction effects in root dispersal models in Fuzzy Sets and Systems 158; S. 572-582, 2007

    Google Scholar 

  • Nelder, J.A. and R.W.M. Wedderburn (1972): Generalized linear models, J. Roy. Stat. Soc., Series A 35, (1972), pp. 370-384

    Google Scholar 

  • Nelson, C.R. (1973): Applied time series analysis for managerial forecasting, Holden Day, San Francisco, 1973

    Google Scholar 

  • Nelson, R. (1995): Probability, stochastic processes, and queueing theory, Springer-Verlag, Heidelberg Berlin New York 1995

    Google Scholar 

  • Nesterov, Y.E. and A.S. Nemirovskii (1992): Interior point polynomial methods in convex programming, Springer-Verlag, Heidelberg Berlin New York 1992

    Google Scholar 

  • Nesterov, Y.E. and A.S. Nemirovskii (1994): Interior point polynomial algorithms in convex programming, SIAM Vol. 13, Pennsylvania 1994

    Google Scholar 

  • Neudecker, H. (1968): The Kronecker matrix product and some of its applications in econometrics, Statistica Neerlandica 22 (1968), 69-82

    Google Scholar 

  • Neudecker, H. (1969): Some theorems on matrix differentiation with special reference to Kronecker matrix products, J. Am. Statist. Ass. 64 (1969), 953-963

    Google Scholar 

  • Neudecker, H. (1978): Bounds for the bias of the least squares estimator of 2 in the case of a first-order autoregressive process (positive autocorrelation), Econometrica 45 (1977), 1257-1262

    Google Scholar 

  • Neudecker, H. (1978): Bounds for the bias of the LS estimator of 2 in the case of a first-order (positive) autoregressive process when the regression contains a constant term, Econometrica 46 (1978), 1223-1226

    Google Scholar 

  • Neumaier, A. (1998): Solving ill-conditioned and singular systems: a tutorial on regularization, SIAM Rev. 40 (1998), 636-666

    Google Scholar 

  • Neumann, J. (2009): Zur modellierung cines erweitertur unischerheits hanshaltes in Parameter Schetzung and hyphothesen test, Bayer, Akad. Wissen Schaften, Deutsche Geodeitische Kommission Reiche C634, München 2009

    Google Scholar 

  • Neumann, J. and H. Kutterer (2007): Adaptative Kalman Filtering mit imprazisen Daten, in: F. K. Brunner (ed.) Ingenienrvermessung, pages 420-424, Wickmann Verlag, Heidelberg 2007

    Google Scholar 

  • Neuts, M.F. (1995): Algorithmic probability, Chapman and Hall, Boca Raton 195

    Google Scholar 

  • Neutsch, W. (1995): Koordinaten: Theorie und Anwendungen, Spektrum Akademischer Verlag, Heidelberg 1995

    Google Scholar 

  • Neway, W.K. and J.K. Powell (1987): Asymmetric least squares estimation and testing, Econometrica 55 (1987), 819-847

    Google Scholar 

  • Newman, D. (1939): The distribution of range in samples from a normal population, expressed in terms of an independent estimate of standard deviation, Biometrika 31 (1939), 20-30

    Google Scholar 

  • Neykov, N.M. and C.H. Mueller (2003): Breakdown point and computation of trimmed likelihood estimators in generalized linear models, in: R. Dutter, P. Filzmoser, U. Gather, P.J. Rousseeuw (eds.), Developments in Robust Statistics, 277-286, Physica Verlag, Heidelberg 2003

    Google Scholar 

  • Neyman, J. (1934): On the two different aspects of the representative method, J. Roy. Statist. Soc. 97 (1934), 558-606

    Google Scholar 

  • Neyman, J. (1937): Outline of the theory of statistical estimation based on the classical theory of probability, Phil. Trans. Roy. Soc. London 236 (1937), 333-380

    Google Scholar 

  • Neytchev P. N. (1995): SWEEP operator for least-squares subject to linear constraints. Comput. Stat. Data Anal. 20, 6 (1995), 599-609.

    Google Scholar 

  • Nicholson, W.K. (1999): Introduction to abstract algebra, 2nd ed., J. Wiley, New York 1999

    Google Scholar 

  • Niemeier, W. (1985): Deformationsanalyse, in: Geodätische Netze in Landes- und Ingenieurvermessung II, Kontaktstudium, ed. H. Pelzer, Wittwer, Stuttgart 1985

    Google Scholar 

  • Nobre, S. and M. Teixeiras (2000): Der Geodät Wilhelm Jordan und C.F. Gauss, Gauss-Gesellschaft e.V. Goettingen, Mitt. 38, 49-54 Goettingen 2000

    Google Scholar 

  • Nyquist, H. (1988): Least orthogonal absolute deviations, Comput. Statist. Data Anal. 6 (1988), 361-367

    Google Scholar 

  • Nyquist, H., Rice, S.O. and J. Riordan ( l959): The distribution of random determinants, Quart. Appl. Math., 12, 97-104.

    Google Scholar 

  • O’Neill, M., Sinclair, L.G. and F.J. Smith (1969): Polynomial curve fitting when abscissa and ordinate are both subject of error, Comput. J. 12 (1969), 52-56

    Google Scholar 

  • O’Neill, M.E. and K. Mathews (2000): A weighted least squares approach to Levene’s test of homogeneity of variance, Australia & New Zealand J. Statist. 42 (2000), 81-100

    Google Scholar 

  • Nicholson, W. K. (1999): Introduction to abstract algebra, Second Edition, John Wiley & Sons, New York-Chichester-weinheim-Brisbane-Singapore 1999.

    Google Scholar 

  • Nkuite G. (1998): Adjustment with singular variance-covariance matrix for models of geometric deformation analysis. Ph.D. thesis, Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften Reihe C: Dissertationen, 501 Mlinchen: Verlag der Bayerischen Akademie der Wissenschaften, 1998 (in German).

    Google Scholar 

  • Nordstrom K. (1985): On a decomposition of the singular Gauss-Markov model. In: Linear Statistical Inference, Proc. Int. Conf., Poznan, Poland, 1984, Lect. Notes Stat. (Calh1ski T., Klonecki W., eds.) Springer-Verlag, Berlin, 1985, pp. 231-245.

    Google Scholar 

  • Nordstrom, K. and Fellman, J. (1990): Characterizations and dispersion matrix robustness of efficiently estimable parametric functionals in linear models with nuisance parameters. Linear Algebra Appl. 127 (1990), 341-36l.

    Google Scholar 

  • Nurhonen, M. and Puntanen, S. (1992): A property of partitioned generalized regression. Commun. Stat., Theory Methods 21, 6 (1992), 1579-1583.

    Google Scholar 

  • Nussbaum, M. and S. Zwanzig(1988): A minimax result in a model with infmitely many nuisance parameters, Transaction of the Tenth Prague Conference on Information Theory, Statistical Decisions, Random Processes, Prague 1988, 215-222.

    Google Scholar 

  • Oberlack, M. (1997): Non-Isotropic Dissipation in Non-Homogeneous Turbulence, J. Fluid Mech., vol. 350, pp. 351-374, (1997)

    Google Scholar 

  • Obuchow, A.M. (1958): Statistische Beschribung stetiger Felder, in: H. Goering (ed.) Sammelband zur ststischen Theorie der Turbolenz, pp. 1-42, Akademic Verlag 1958.

    Google Scholar 

  • Obuchow, A.M. (1962): Some specific features of atmospheric turbulence, Fluid mechanics 13 (1962) 77-81

    Google Scholar 

  • Obuchow, A.M. (1962): Some specific features of atmospheric turbulence, J. Geophys. Res. 67 (1962) 3011-3014

    Google Scholar 

  • Odijk, D. (2002): Fast precise GPS positioning in the presence of ionospheric delays. Publications on Geodesy, vol. 52, Netherlands Geodetic Commission, Delft

    Google Scholar 

  • Offlinger, R. (1998): Least-squares and minimum distance estimation in the three-parameter Weibull and Frèechet models with applications to river drain data, in: Kahle, et al. (eds.), Advances in stochastic models for reliability, quality and safety, 81-97, Birkhäuser-Verlag, Basel Boston Berlin 1998

    Google Scholar 

  • Ogawa, J. (1950): On the independence of quadratic forms in a non-central normal system, Osaka Mathematical Journal 2 (1950), 151-159

    Google Scholar 

  • Ohtani, K. (1988): Optimal levels of significance of a pre-test in estimating the disturbance variance after the pre-test for a linear hypothesis on coefficients in a linear regression, Econom. Lett. 28 (1988), 151-156

    Google Scholar 

  • Ohtani, K. (1996): Further improving the Stein-rule estimator using the Stein variance estimator in a misspecified linear regression model, Statist. Probab. Lett. 29 (1996), 191-199

    Google Scholar 

  • Ohtani, K. (1998): On the sampling performance of an improved Stein inequality restricted estimator, Austral. & New Zealand J. Statist. 40 (1998), 181-187

    Google Scholar 

  • Ohtani, K. (1998): The exact risk of a weighted average estimator of the OLS and Stein-rule estimators in regression under balanced loss, Statistics & Decisions 16 (1998), 35-45

    Google Scholar 

  • Okamoto, M. (1973): Distinctness of the Eigenvalues of a quadratic form in a multivariate sample, Ann. Stat. 1 (1973), 763-765

    Google Scholar 

  • Okeke, F.I. (1998): The curvilinear datum transformation model, DGK, Reihe C, Heft Nr. 481.

    Google Scholar 

  • Okeke, F. and F. Krumm (1998): Graph, graph spectra and partitioning algorithms in a geodetic network structural analysis and adjustment, Bolletino di Geodesia e Scienze Affini 57 (1998), 1-24

    Google Scholar 

  • Oktaba, W. (1984): Tests of hypotheses for the general Gauss-Markov model. Biom. J. 26 (1984), 415-424.

    Google Scholar 

  • Olkin, I. (1998): The density of the inverse and pseudo-inverse of a random matrix, Statistics and Probability Letters 38 (1998), 131-135

    Google Scholar 

  • Olkin, J. (2000): The 70th anniversary of the distribution of random matrices: a survey, Technical Report No. 2000-06, Department of Statistics, Stanford University, Stanford 2000

    Google Scholar 

  • Olkin, I. and S.N. Roy (1954): On multivariate distribution theory, Ann. Math. Statist. 25 (1954), 329-339

    Google Scholar 

  • Olkin, I. and A.R. Sampson (1972): Jacobians of matrix transformations and induced functional equations, Linear Algebra Appl. 5 (1972), 257-276

    Google Scholar 

  • Olkin, J. and J.W. Pratt (1958): Unbiased estimation of certain correlation coefficient, Annals Mathematical Statistics 29 (1958), 201-211

    Google Scholar 

  • Olsen, A., Seely, J. and D. Birkes (1976): Invariant quadratic unbiased estimators for two variance components, Annals of Statistics 4 (1976), 878-890

    Google Scholar 

  • Omre, H. (1987): Bayesian krigingmerging observations and qualified guess in kriging. Math Geol 19:25-39

    Google Scholar 

  • Omre, H. and Halvorsen, K. (1989): The Bayesian bridge between simple and universal kriging. Math Geol 21:767-786

    Google Scholar 

  • Ord, J.K. and S. Arnold (1997): Kendall’s advanced theory of statistics, volume IIA, classical inference, Arnold Publ., 6th edition, London 1997

    Google Scholar 

  • Ortega, J. and Rheinboldt, W. (1970): Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York.

    Google Scholar 

  • Osborne, M.R. (1972): Some aspects of nonlinear least squares calculations, Numerical Methods for Nonlinear Optimization, ed. F.A. Lootsma, Academic Press, New York London 1972

    Google Scholar 

  • Osborne, M.R. (1976): Nonlinear least squares the Levenberg algorithm revisited, J. Aust. Math. Soc. B19 (1976), 343-357

    Google Scholar 

  • Osborne, M.R. and G.K. Smyth (1986): An algorithm for exponential fitting revisited, J. App. Prob. (1986), 418-430

    Google Scholar 

  • Osborne, M.R. and G.K. Smyth (1995): A modified Prony algorithm for fitting sums of exponential functions, SIAM J. Sc. And Stat. Comp. 16 (1995), 119-138

    Google Scholar 

  • Osiewalski, J. and M.F.J. Steel (1993): Robust Bayesian inference in elliptical regression models, J. Economatrics 57 (1993), 345-363

    Google Scholar 

  • Ouellette, D.V. (1981): Schur complements and statistics, Linear Algebra Appl. 36 (1981), 187-295

    Google Scholar 

  • Owens, W.H. (1973): Strain modification of angular density distributions, Techtonophysics 16 (1973), 249-261

    Google Scholar 

  • Ozone, M.I. (1985): Non-iterative solution of the \(\phi \) equations, Surveying and Mapping 45} (1985) 169-171.

    Google Scholar 

  • Paciorek, C. (2007): Bayesian smoothing with Gaussian processes using Fourier basis functions in the spectialGP package, J. Statist. Software 19 (2007) 1-38

    Google Scholar 

  • Padmawar, V.R. (1998): On estimating nonnegative definite quadratic forms, Metrika 48 (1998), 231-244

    Google Scholar 

  • Pagano, M. (1978): On periodic and multiple autoregressions, Annals of Statistics 6 (1978), 1310-1317

    Google Scholar 

  • Paige, C.C. and M.A. Saunders (1975): Solution of sparse indefinite systems of linear equations, SIAM J. Numer. Anal. 12 (1975), 617-629

    Google Scholar 

  • Paige, C. and C. van Loan (1981): A Schur decomposition for Hamiltonian matrices, Linear Algebra and its Applications 41 (1981), 11-32

    Google Scholar 

  • Pakes, A.G. (1999): On the convergence of moments of geometric and harmonic means, Statistica Neerlandica 53 (1999), 96-110

    Google Scholar 

  • Pal, N. and W.K. Lim (2000): Estimation of a correlation coefficient: some second order decision - theoretic results, Statistics and Decisions 18 (2000), 185-203

    Google Scholar 

  • Pal, S.K. and P.P. Wang (1996): Genetic algorithms for pattern recognition, CRC Press, Boca Raton 1996

    Google Scholar 

  • Palancz, B. and J.L. Awange (2012): Application of Pareto optimality to linear models with errors-in-all-variables. J. Geo. (2011), doi: 10.1007/s00190-011-0536-1

    Google Scholar 

  • Panazachos C. and Kiratzi A. (1992): A formulation for reliable estimation of active crustal deformation and its application to central Greece, Geophys. J. Int., 111, 424-432

    Google Scholar 

  • Panda, R. et. al. (1989): Turbulenz in a randomly stirred fluid, Phys. Fluid, A1 (1989) 1045-1053

    Google Scholar 

  • Papo, H. (1985): Extended Free Net Adjustment Constraints. Bulletin Geodesique 59, pp. 378-390.

    Google Scholar 

  • Papo, H. (1986): Extended Free Net Adjustment Constraints. NOAA Technical Report NOS 119 NGS 37, September 1986, 16 p.

    Google Scholar 

  • Papoulis, A. (1991): Probability, random variables and stochastic processes, McGraw Hill, New York 1991

    Google Scholar 

  • Park, H. (1991): A parallel algorithm for the unbalanced orthogonal Procrustes problem, Parallel Computing 17 (1991), 913-923

    Google Scholar 

  • Park, S.H., Kim Y.H. and H. Toutenberg (1992): Regression diagnostic for removing an observation with animating graphics, Statistical papers, 33 (1992), pp. 227-240

    Google Scholar 

  • Parker, W.V. (1945): The characteristic roots of matrices, Duke Math. J. 12 (1945), 519-526

    Google Scholar 

  • Parkinson, B.W. and Spilker, J.J. (eds) (1996): Global Positioning System: Theory and Applications. vol 1, American institute of Aeronautics and Astronautics, Washington, DC, 793p

    Google Scholar 

  • Parthasaratky, K.R. (1967): Probability measures on metric spaces, Academic Press, New York London 1967

    Google Scholar 

  • Parzen, E. (1962): On estimation of a probability density function and mode, Ann. Math. Statistics 33 (1962), 1065-1073

    Google Scholar 

  • Passer, W. (1933): Über die Anwendung statischer Methoden auf den Ausgleich von Liniennetzen. OZfV 31, 66-71.

    Google Scholar 

  • Patel, J.K. and C.B. Read (1982): Handbook of the normal distribution, Marcel Dekker, New York and Basel 1982

    Google Scholar 

  • Patil, V.H. (1965): Approximation to the Behrens-Fisher distribution, Biometrika 52 (1965), 267-271

    Google Scholar 

  • Patterson, H.D. and Thompson, R. (1971): Recovery of the inter-block information when block sizes are unequal. Biometrika, 58, 545-554.

    Google Scholar 

  • Paul, M.K. (1973): A note on computation of geodetic coordinates from geocentric (Cartesian) coordinates, Bull. Geod. No. 108 (1973)135-139.

    Google Scholar 

  • Pazman, A. (1982): Geometry of Gaussian Nonlinear Regression - Parallel Curves and Confidence Intervals. Kybernetica, 18, 376-396.

    Google Scholar 

  • Pazman, A. (1984): Nonlinear Least Squares - Uniqueness Versus Ambiguity. Math. Operationsforsch. u. Statist., ser. statist., 15, 323-336.

    Google Scholar 

  • Pazman, A. and Müller, W.G. (2001): Optimal design of experiments subject to correlated errors. Stat Probab Lett 52:29-34

    Google Scholar 

  • Pèazman, A. (1986): Foundations of optimum experimental design, Mathematics and its applications, D. Reidel, Dordrecht 1986

    Google Scholar 

  • Pèazman, A. and J.-B. Denis (1999): Bias of LS estimators in nonlinear regression models with constraints. Part I: General case, Applications of Mathematics 44 (1999), 359-374

    Google Scholar 

  • Pèazman, A. and W. Müller (1998): A new interpretation of design measures, in: MODA 5 - Advances in model-oriented data analysis and experimental design, Proceedings of the 5th International Workshop in Marseilles, eds. Atkinson, A.C., Pronzato, L. and H.P. Wynn, Physica-Verlag, Heidelberg 1998

    Google Scholar 

  • Pearson, E.S. (1970): William Sealy Gosset, 1876-1937: Student as a statistician, Studies in the History of Statistics and Probalbility (E.S. Pearson and M.G. Kendall, eds.), Hafner Publ., 360-403, New York 1970

    Google Scholar 

  • Pearson, E. S. and S. S. Wilks (1933): Methods of statistical analysis appropriate for k samples of two variables, Biometrika, 25, 353-378

    Google Scholar 

  • Pearson, E.S. and H.O. Hartley (1958): Biometrika Tables for Statisticians Vol. 1, Cambridge University Press, Cambridge 1958

    Google Scholar 

  • Pearson, K. (1905): The problem of the random walk, Nature 72 (1905), 294

    Google Scholar 

  • Pearson, K. (1906): A mathematical theory of random migration, Mathematical Contributions to the Theory of Evolution, XV Draper’s Company Research Memoirs, Biometrik Series III, London 1906

    Google Scholar 

  • Pearson, K. (1931): Historical note on the distribution of the Standard Deviations of Samples of any size from any indefinitely large Normal Parent Population, Biometrika 23 (1931), 416-418

    Google Scholar 

  • Peddada, S.D. and T. Smith (1997): Consistency of a class of variance estimators in linear models under heteroscedasticity, Sankhya 59 (1997), 1-10

    Google Scholar 

  • Pleitgen, H and Saupe, D (1988): The science of fractal image, Springer Verlag, New York 1988

    Google Scholar 

  • Peitgen, H-O. and Jurgens, H. and Saupe, D. (1992): Chaos and fractals, springer Verlag, 1992

    Google Scholar 

  • Pelzer, H. (1971): Zur Analyse geodätischer Deformationsmessungen, Deutsche Geodätische Kommission, Akademie der Wissenschaften, Reihe C (164), München 1971

    Google Scholar 

  • Pelzer, H. (1974): Zur Behandlung singulärer Ausgleichungsaufgaben, Z. Vermessungswesen 99 (1974), 181-194, 479-488

    Google Scholar 

  • Pelzer, H. (1985): Geodiitische Netze , in Landes- und Ingenieurvermessung II. Wittwer, Stuttgart, 847p (in German)

    Google Scholar 

  • Pena, D., Tiao, G.C., and R.S. Tsay (2001): A course in time series analysis, J. Wiley, New York 2001

    Google Scholar 

  • Penev, P. (1978): The transformation of rectangular coordinates into geographical by closed formulas Geo. Map. Photo, 20} (1978) 175-177.

    Google Scholar 

  • Peng, H.M., Chang, F.R. and Wang, L.S. (1999): Attitude determination using GPS carrier phase and compass data. In: Proceedings of ION NTM 99, pp 727-732

    Google Scholar 

  • Penrose, R. (1955): A generalised inverse for matrices, Proc. Cambridge Phil. Soc. 51 (1955), 406-413

    Google Scholar 

  • Penrose, R. (1956): On best approximate solution of linear matrix equations, Proc. Cambridge Philos. Soc. 52 (1956) pp. 17-19

    Google Scholar 

  • Penny, K.I. (1996): Appropriate critical values when testing for a single multivariate outlier by using the Mahalanobis distance, in: Applied Statistics, ed. S.M. Lewis and D.A. Preece, J. Roy. Statist. Soc. 45 (1996), 73-81

    Google Scholar 

  • Percival, D.B. and A.T. Walden (1993): Spectral analysis for physical applications, Cambridge, Cambridge University Press 1997

    Google Scholar 

  • Percival, D.B. and A.T. Walden (1999): Wavelet methods for time series analysis, Cambridge University Press, Cambridge 1999

    Google Scholar 

  • Perelmuter, A. (1979): Adjustment of free networks, Bull. Geod. 53} (1979) 291-295.

    Google Scholar 

  • Perlman, M.D. (1972): Reduced mean square error estimation for several parameters, Sankhya series, B 34 (1972), pp. 89-92

    Google Scholar 

  • Perrin, J. (1916): Atoms, Van Nostrand, New York 1916

    Google Scholar 

  • Perron, F. and N. Giri (1992): Best equivariant estimation in curved covariance models, J. Multivar. Anal. 40 (1992), 46-55

    Google Scholar 

  • Perron, F. and N. Giri (1990): On the best equivariant estimator of mean of a multivariate normal population, J. Multivar. Anal. 32 (1990), 1-16

    Google Scholar 

  • Persson, C.G., (1980): MINQUE and related estimators for variance components in linear models. PhD thesis, Royal Institute of Technology, Stockholm, Sweden.

    Google Scholar 

  • Petrov, V.V. (1975): Sums of independent random variables, Springer Verlag, Berlin-Heidelberg-New York 1975

    Google Scholar 

  • Pfeufer, A. (1990): Beitrag zur Identifikation und Modellierung dynamischer Deformationsprozesse, Vermessungstechnik 38 (1990), 19-22

    Google Scholar 

  • Pfeufer, A. (1993): Analyse und Interpretation von überwachungsmessungen - Terminologie und Klassifikation, Zeitschrift für Vermessungswesen 118 (1993), 19-22

    Google Scholar 

  • Pick, M.(1985): Closed formulae for transformation of Cartesian coordinates into a system of geodetic coordinates, Studia geoph. et geod. 29} (1985) 653-666.

    Google Scholar 

  • Pilz, J. (1983): Bayesian estimation and experimental design in linear regression models, Teubner-Texte zur Mathematik 55, Teubner, Leipzig 1983

    Google Scholar 

  • Pilz, J. and Spock, G. (2008): Bayesian spatial sampling design. In: Proc. 18th Intl. Geostatics World Congeress (J. M. Oritz and X. Emery, Eds.), Gecamin Ltd., Santiago de Chile 2008, 21-30

    Google Scholar 

  • Pilz, J.(1991): Bayesian estimation and experimental design in linear regression models. Wiley, New York

    Google Scholar 

  • Pilz, J. Schimek, M.G. and Spock, G. (1997): Taking account of uncertainty in spatial covariance estimation. In: Baafi E, Schofield N (ed) Proceedings of the fifth international geostatistics congress. Kluwer, Dordrecht, pp. 302-313

    Google Scholar 

  • Pilz, J. and Spock, G. (2006): Spatial sampling design for prediction taking account of uncertain covariance structure. In: Caetano M, PainhoM (ed) Proceedings of accuracy 2006. Instituto Geografico Portugues, pp. 109-118

    Google Scholar 

  • Pilz, J. and Spock, G. (2008): Why do we need and how should we implement Bayesian kriging methods. Stoch Environ Res Risk Assess 22/5:621-632

    Google Scholar 

  • Pincus, R. (1974): Estimability of parameters of the covariance matrix and variance components, Math. Operationsforschg. Statistik 5 (1974), 245-248

    Google Scholar 

  • Pinheiro, J.C. and D.M. Bates (2000): Mixed-effects models in S and S-Plus, Statistics and Computing, Springer-Verlag, Heidelberg Berlin New York 2000

    Google Scholar 

  • Piquet, J. (1999): Turbulent flows, models and physics, Springer Verlag, 761 pages, Berlin 1999

    Google Scholar 

  • Pistone, G. and Wynn, H. P. (1996): Generalized confounding with Gröbner bases, Biometrika 83} (1996) 112-119.

    Google Scholar 

  • Pitman, E.J.G. (1979): Some basic theory for statistical inference, Chapman and Hall, Boca Raton 1979

    Google Scholar 

  • Pitmen, E.J.G. (1939): A note on normal correlation, Biometrika, 31, 9-12.

    Google Scholar 

  • Pitman, J. and M. Yor (1981): Bessel processes and infinitely divisible laws, unpublished report, University of California, Berkeley

    Google Scholar 

  • Plachky, D. (1993): An estimation-theoretical characterization of the Poisson distribution, Statistics and Decisions, Supplement Issue 3 (1993), 175-178

    Google Scholar 

  • Plackett, R.L. (1949): A historical note on the method of least-squares, Biometrika 36 (1949), 458-460

    Google Scholar 

  • Plackett, R.L. (1972): The discovery of the method of least squares, Biometrika 59 (1972), 239-251

    Google Scholar 

  • Plato, R. (1990): Optimal algorithms for linear ill-posed problems yield regularization methods, Numer. Funct. Anal. Optim. 11 (1990), 111-118

    Google Scholar 

  • Pohst, M. (1987): A modification of the LLL reduction algorithm, J. Symbolic Computation 4 (1987), 123-127

    Google Scholar 

  • Poirier, D.J. (1995): Intermediate statistics and econometrics, The MIT Press, Cambridge 1995

    Google Scholar 

  • Poisson, S.D. (1827): Connaissance des temps de l’annee 1827

    Google Scholar 

  • Polasek, W. and S. Liu (1997): On generalized inverses and Bayesian analysis in simple ANOVA models, Student 2 (1997), 159-168

    Google Scholar 

  • Pollock, D.S.G. (1979): The algebra of econometrics, Wiley, Chichester 1979

    Google Scholar 

  • Pollock, D.S.G. (1999): A handbook of time series analysis, signal processing and dynamics, Academic Press, San Diego 1999

    Google Scholar 

  • Polya, G. (1919): Zur Statistik der sphaerischen Verteilung der Fixsterne, Astr. Nachr. 208 (1919), 175-180

    Google Scholar 

  • Polya, G. (1930): Sur quelques points de la thèeorie des probabilitèes, Ann. Inst. H. Poincare 1 (1930), 117-161

    Google Scholar 

  • Polzehl, J. and S. Zwanzig (2004): On a symmetrized simulation extrapolation estimator in linear errors-in-variables mddels, Journal of Computational Statistics and Data Analysis.47 (2004) 675-688

    Google Scholar 

  • Pope, A.J. (1972): Some pitfalls to be avoided in the iterative adjustment of nonlinear problems. Proceedings of the 38th Annual Meeting. American Society of Photogrammetry, Washington D. C., March 1972.

    Google Scholar 

  • Pope, A.J. (1974): Two Approaches to Nonlinear Least Squares Adjustments. The Canadian Surveyor, Vol. 28, No.5, 663-669.

    Google Scholar 

  • Pope, A.J. (1976): The statistics of residuals and the detection of outliers, NOAA Technical Report, NOW 65 NGS 1, U.S. Dept. of Commerce, Rockville, Md., 1976

    Google Scholar 

  • Pope, A. (1982): Two approaches to non-linear least squares adjustments, The Canadian Surveyor 28} (1982) 663-669.

    Google Scholar 

  • Popinski, W. (1999): Least-squares trigonometric regression estimation, Applicationes Mathematicae 26 (1999), 121-131

    Google Scholar 

  • Pordzik, P.R. and Trenkler, G. (1996): MSE comparisons of restricted least squares estimators in linear regression model-revisited. Sankhya, Ser. B 58, 3 (1996), 352-359.

    Google Scholar 

  • Portnoy, S.L. (1977): Robust estimation in dependent situations, Annals of Statistics, 5 (1977), pp. 22-43

    Google Scholar 

  • Portnoy, S. and Koenker, R. (1997): The Gaussian hare and the Laplacian tortoise: computability of squared error versus absolute-error estimators, Statistical Science 12 (1997), 279-300

    Google Scholar 

  • Powell, J.L. (1984): Least absolute deviations estimating for the censored regression model, J. of Econometrics, 25 (1984), pp. 303-325

    Google Scholar 

  • Pratt, J.W. (1961): Length of confidence intervals, J. Am. Statist. Ass. 56 (1961), 549-567

    Google Scholar 

  • Pratt, J.W. (1963): Shorter confidence intervals for the mean of a normal distribution with known variance, Ann. Math. Statist. 34 (1963), 574-586

    Google Scholar 

  • Prentice, R.L. and L.P. Zhao (1991): Estimating equations for parameters in means and covariances of multivariate discrete and continuous responses, Biometrics, 47 (1991), pp. 825-839

    Google Scholar 

  • Prenter, P.M. (1975): Splines and Variational Methods. John Wiley & Sons. New York.

    Google Scholar 

  • Presnell, B. Morrison, S.P. and R.C. Littell (1998): Projected multivariate linear models for directional data, J. Am. Statist. Ass. 93 (1998), 1068-1077

    Google Scholar 

  • Press, S.J. (1989): Bayesian statistics: Principles, models and applications, J. Wiley, New York 1989

    Google Scholar 

  • Press, W.H., Teukolsky, S.A., Vetterling, W.T. and B.P. Flannery (1992): Numerical Recipes in FORTRAN (2nd edition), Cambridge University Press, Cambridge 1992

    Google Scholar 

  • Priestley, M.B. (1981): Spectral analysis and time series, Vols. 1 and 2, Academic Press, New York London 1981

    Google Scholar 

  • Priestley, M.B. (1988): Nonlinear and nonstationary time series analysis, Academic Press, New York London 1988

    Google Scholar 

  • Prony, R. (1795): Essai experimentale et analytique, Journal of Ecole Polytechnique (Paris) 1 (1795), 24-76

    Google Scholar 

  • Pruscha, H. (1996): Angewandte Methoden der Mathematischen Statistik, Teubner Skripten zur Mathematischen Stochastik, Stuttgart 1996

    Google Scholar 

  • Pugachev, V.S. (1965): Theory of random functions, Oxford 1965

    Google Scholar 

  • Pugachev, V.S. and I.N. Sinitsyn (2002): Stochastic systems, Theory and applications, Russian Academy of Sciences 2002

    Google Scholar 

  • Puntanen, S. (1986): Comments on “ on necessary and sufficient condition for ordinary least estimators to be best linear unbiased estimators”, J. of American Statistical Association, 40 (1986), p. 178

    Google Scholar 

  • Puntanen, S. (1996): Some matrix results related to a partitioned singular linear model. Commun. Stat., Theory Methods 25, 2 (1996), 269-279.

    Google Scholar 

  • Puntanen, S. (1997): Some further results related to reduced singular linear models. Commun. Stat., Theory Methods 26, 2 (1997), 375-385.

    Google Scholar 

  • Puntanen, S. and Styan, G.P.H. (1989): The equality of the ordinary least squares estimator and the best linear unbiased estimator. Amer. Statist. 43 (1989), 153-16l.

    Google Scholar 

  • Puntanen, S. and Scott, A.J. (1996): Some further remarks on the singular linear model. Linear Algebra Appl. 237/8 (1996), 313-327.

    Google Scholar 

  • Puntanen, S., Styan, G.P.H. and H.J. Werner (2000): Two matrix-based proofs that the linear estimator Gy is the best linear unbiased estimator, J. Statist. Planning and Inference 88 (2000) 173-179

    Google Scholar 

  • Pukelsheim, F. (1976): Estimating variance components in linear models, J. Multivariate Anal. 6 (1976), pp. 626-629

    Google Scholar 

  • Pukelsheim, F. (1977): On Hsu’s model in regression analysis, Math. Operations forsch. Statist. Ser. Statistics, 8 (1977), pp. 323-331

    Google Scholar 

  • Pukelsheim, F. (1979): Classes of linear models, in: van Vleck, L.D. and S.R. Searle (eds.), pp. 69-83, cornell University/Ithaca 1979

    Google Scholar 

  • Pukelsheim, F. (1980): Multilinear estimation of skewness and curtosis in linear models, Metrika, 27 (1980), pp. 103-113

    Google Scholar 

  • Pukelsheim, F. (1981a): Linear models and convex geometry: Aspects of non-negative variance estimation, Math. Operationsforsch. u. Stat. 12 (1981), 271-286

    Google Scholar 

  • Pukelsheim, F. (1981b): On the existence of unbiased nonnegative estimates of variance covariance components, Ann. Statist. 9 (1981), 293-299

    Google Scholar 

  • Pukelsheim, F. (1990) : Optimal design of experiments , J. Wiley, New York 1990

    Google Scholar 

  • Pukelsheim, F. (1993): Optimal design of experiments, J. Wiley, New York 1993

    Google Scholar 

  • Pukelsheim, F. (1994): The three sigma rule, American Statistician 48 (1994), 88-91

    Google Scholar 

  • Pukelsheim, F. and G.P. Styan (1979): Nonnegative definiteness of the estimated dispersion matrix in a multivariate linear model. Bull. Acad. Polonaise des Sci., Ser. Sci. Math., 27 (1979), pp. 327-330

    Google Scholar 

  • Pukelsheim, F. and B. Torsney (1991): Optimal weights for experimental designs on linearly independent support points, The Annals of Statistics 19 (1991), 1614-1625

    Google Scholar 

  • Pukelsheim, F. and W.J. Studden (1993): E-optimal designs for polynomial regression, Ann. Stat. 21 (1993), 402-415

    Google Scholar 

  • Pynn, R. and Skjeltorp, A. (eds) Scaling Phenomena in Disordered Systems, Plenum Press New york (1985).

    Google Scholar 

  • Qingming, G. and L. Jinshan (2000): Biased estimation in Gauss-Markov model, Allgemeine Vermessungsnachrichten 107 (2000), 104-108

    Google Scholar 

  • Qingming, G., Yuanxi, Y. and G. Jianfeng (2001): Biased estimation in the Gauss-Markov model with constraints, Allgemeine Vermessungsnachrichten 108 (2001), 28-30

    Google Scholar 

  • Qingming, G., Lifen, S., Yuanxi, Y. and G. Jianfeng (2001): Biased estimation in the Gauss-Markov model not full of rank, Allgemeine Vermessungsnachrichten 108 (2001), 390-393

    Google Scholar 

  • Quintana-Orti, G., Sun, X. and C.H. Bischof (1998): A BLAS-3 version of the QR factorization with column pivoting, SIAM J. Sci. Comput. 19 (1998), 1486-1494

    Google Scholar 

  • Raj, D. (1968): Sampling theory, Mc Graw-Hill Book Comp., Bombay 1968

    Google Scholar 

  • Ralston, A. and Wilf, H. W. (1979): Mathematische Methoden fiir Digitalrechner 2. R. Oldenbourg Verlag, Miinchen.

    Google Scholar 

  • Ramsey, J.O. and B.W. Silverman (1997): Functional data analysis, Springer-Verlag, Heidelberg Berlin New York 1997

    Google Scholar 

  • Rao, B.L.S.P. (1997a): Weighted least squares and nonlinear regression, J. Ind. Soc. Ag. Statistics 50 (1997), 182-191

    Google Scholar 

  • Rao, B.L.S.P. (1997b): Variance components, Chapman and Hall, Boca Raton 1997

    Google Scholar 

  • Rao, B.L.S.P. and B.R. Bhat (1996): Stochastic processes and statistical inference, New Age International, New Delhi 1996

    Google Scholar 

  • Rao, C.R. (1945): Generalisation of Markoff’s Theorem and tests of linear hypotheses, Sankya 7 (1945), 9-16

    Google Scholar 

  • Rao, C.R. (1948a): Test of significance in multivariate analysis, Biometrika 35 (1948a) 58-79

    Google Scholar 

  • Rao, C.R. (1949): On the transformation useful in multivariate computations, Sankhya 9(1949) 251-253

    Google Scholar 

  • Rao, C.R. of (1951): An asymptotic expansion of the distribution of Wilks Λ criterion Bull.Inst. Internat. Stat., 33, Part II, 177-180.

    Google Scholar 

  • Rao, C.R. (1952a): Some theorems on Minimum Variance Estimation, Sankhya 12, 27-42

    Google Scholar 

  • Rao, C.R. (1952b): Advanced statistical methods in biometric research, J. Wiley, New York 1952

    Google Scholar 

  • Rao. C.R. (1965a): Linear Statistical Interference and ist Applications, J. Wiley, New York 1965

    Google Scholar 

  • Rao, C.R. (1965b): The theory of least squares when the parameters are stochastic and its application to the analysis of growth curves, Biometrika 52 (1965), 447-458

    Google Scholar 

  • Rao, C.R. (1965c): Linear Statistical Inference and Its Applications. John Wiley & Sons, New York.

    Google Scholar 

  • Rao, C.R. (1967): Least squares theory using an estimated dispersion matrix and its application to measurement of signals, Procedure of the Fifth Barkeley Symposium, Barkeley 1967.

    Google Scholar 

  • Rao, C.R. (1970): Estimation of heteroscedastic variances in linear models, J. Am. Stat. Ass. 65 (1970), 161-172

    Google Scholar 

  • Rao, C.R. (1971a): Estimation of variance and covariance components - MINQUE theory, J. Multivar. Anal. 1 (1971), 257-275

    Google Scholar 

  • Rao, C.R., (1971b): Estimation of variance components and application, North-Holland Series in statistics and probability, vol 3.

    Google Scholar 

  • Rao, C.R. (1971c): Unified theory of linear estimation, Sankhya A33 (1971), 371-394

    Google Scholar 

  • Rao, C.R. (1971d): Minimum variance quadratic unbiased estimation of variance components, J. Multivar. Anal. 1 (1971), 445-456

    Google Scholar 

  • Rao, C.R. (1972): Estimation of variance and covariance components in linear models. J. Am. Stat. Ass. 67 (1972), 112-115

    Google Scholar 

  • Rao, C.R. (1973a): Linear statistical inference and its applications, 2nd ed., J. Wiley, New York 1973

    Google Scholar 

  • Rao, C.R. (1973b): Representation of best linear unbiased estimators in the Gauss-Markoff model with a singular dispersion matrix, J. Multivar. Anal. 3 (1973), 276-292

    Google Scholar 

  • Rao, C.R. (1973c): Unified theory of least squares, Comm. Statist., 1 (1977), pp. 1-8

    Google Scholar 

  • Rao, C.R. (1976): Estimation of parameters in a linear model, Ann. Statist. 4 (1976), 1023-1037

    Google Scholar 

  • Rao, C.R. (1977): Prediction of future observations with special reference to linear models. In. Multivariate Analysis, Vol 4 (1977), pp. 193-208

    Google Scholar 

  • Rao, C.R. (1978): Choice of the best linear estimators in the Gauss-Markov model with singular dispersion matrix, Comm. Stat. Theory Meth. A7 (13)} (1978) 1199-1208.

    Google Scholar 

  • Rao, C.R. (1979): Separation theorems for singular values of matrices and their applications in multivariate analysis, Journal of Multivariate Analysis 9, pp. 362-377.

    Google Scholar 

  • Rao, C.R. (1984): Prediction of future observations in polynomial growth curve models, In Proceedings of the Indian Statistical Institute Golden Jubilee Intl. Conf. on Stat.: application and future directions, Indian Stat. Ins., pp. 512-520, Calcutta 1984

    Google Scholar 

  • Rao, C.R. (1985): The inefficiency of least squares: extensions of the Kantorovich inequality, Linear algebra and its applications 70 (1985), 249-255

    Google Scholar 

  • Rao, C.R. (1988a): Methodology based on the L1-norm in statistical inference, Sankhya 50, 289-313

    Google Scholar 

  • Rao, C.R. (1988b): Prediction of future observations in growth curve models, J. of Statistical Science, 2, 434-471

    Google Scholar 

  • Rao, C.R. (1989): A lemma on optimization of a matrix function and a review of the unified theory of linear estimation, ln: Y. Dodge (Ed.), Statistical Data Analysis and interference, pp. 337-418, Elsevier, Amsterdam 1989

    Google Scholar 

  • Rao, C.R. and S.K. Mitra (1971): Generalized inverse of matrices and itsapplications, J. Wiley, New York 1971

    Google Scholar 

  • Rao, C.R. and S.K. Mitra (1972): Generalized inverse of a matrix and its applications, in: Proceedings of the sixth Berkeley symposium on mathematical statistics and probability, Vol. 1, 601-620, University of California Press, Berkeley 1972

    Google Scholar 

  • Rao, C.R. and J. Kleffe (1979): Variance and covariance components estimation and applications, Technical Report No. 181, Ohio State University, Dept. of Statistics, Columbus, Ohio.

    Google Scholar 

  • Rao, C.R. and J. Kleffe (1988): Estimation of variance components and applications, North Holland, Amsterdam 1988

    Google Scholar 

  • Rao, C.R. and L.C. Zhao (1993): Asymptotic normality of LAD estimator in censored regression models, Math. methods in Statistics, 2 (1993), pp. 228-239

    Google Scholar 

  • Rao, C.R. and H. Toutenburg (1995): Linear models, least-squares and alternatives, Springer-Verlag, Heidelberg Berlin New York 1995

    Google Scholar 

  • Rao, C.R. and R. Mukerjee (1997): Comparison of LR, score and Wald tests in a non-iiD setting, J. Multivar. Anal. 60 (1997), 99-110

    Google Scholar 

  • Rao, C.R. and M.B. Rao (1998): Matrix algebra and its application to statistics and econometrics, World Scientific, Singapore 1998

    Google Scholar 

  • Rao, C.R. and H. Toutenburg (1999): Linear models, Least squares and alternatives, 2nd ed., Springer-Verlag, Heidelberg Berlin New York 1999

    Google Scholar 

  • Rao, C.R. and G.J. Szekely (2000): Statistics for the 21st century - Methodologies for applications of the future, Marcel Dekker, Basel 2000

    Google Scholar 

  • Rao, P.S.R.S. and Y.P. Chaubey (1978): Three modifications of the principle of the MINQUE, Commun. Statist. Theor. Methods A7 (1978), 767-778

    Google Scholar 

  • Ratkowsky, D.A. (1983): Nonlinear regression modelling, Marcel Dekker, New York

    Google Scholar 

  • Ravi, V. and H.-J. Zimmermann (2000): Fuzzy rule based classification with Feature Selector and modified threshold accepting, European Journal of Operational Research 123 (2000), 16-28

    Google Scholar 

  • Ravi, V., Reddy, P.J. and H.-J. Zimmermann (2000): Pattern classification with principal component analysis and fuzzy rule bases, European Journal of Operational Research 126 (2000), 526-533

    Google Scholar 

  • Ravishanker, N. and D.K. Dey (2002): A first course in linear model theory, CRC Press, Boca Raton 2002

    Google Scholar 

  • Rayleigh, L. (1880): On the resultant of a large number of vibrations of the same pitch and of arbitrary phase, Phil. Mag. 5 (1880), 73-78

    Google Scholar 

  • Rayleigh, L. (1905): The problem of random walk, Nature 72 (1905), 318

    Google Scholar 

  • Rayleigh, L. (1919): On the problem of random vibrations, and of random flights in one, two or three dimensions, Phil Mag. 37 (1919), 321-347

    Google Scholar 

  • Rebai, S. Philip, H. and Taboada, A. (1992): Modern tectonic stress field in the Mediterranean region: evidence for variation instress directions at different scales, Geophys. J. Int., 110, 106-140

    Google Scholar 

  • Reeves, J. (1998): A bivariate regression model with serial correlation, The Statistician 47 (1998), 607-615

    Google Scholar 

  • Reich, K. (2000): Gauss’ Schüler. Studierten bei Gauss und machten Karriere. Gauss’ Erfolg als Hochschullehrer (Gauss’s students: studied with him and were successful. Gauss’s success as a university professor), Gauss Gesellschaft E.V.Göttingen, Mitteilungen Nr. 37, 33-62, Göttingen 2000

    Google Scholar 

  • Reilly, W., Fredrich, G., Hein, G., Landau, H., Almazan, J. and Caturla, J. (1992): Geodetic determination of crustal defoemation across the Strait of Gibraltar, Geophys. J. Int., 111, 391-398

    Google Scholar 

  • Relles, D.A. (1968): Robust regression by modified least squares, Ph.D. Thesis, Yale University, Yale 1968

    Google Scholar 

  • Remmer, O. (1973): A Stability Investigation of Least Squares Adjustment by elements, Geodaetisk Institute Copenhagen, 1973

    Google Scholar 

  • Remondi, B.W. (1984): Using the Global Positioning System (GPS) phase observable for relative geodesy: modelling, processing and results. Ph.D.Thesis, Center for Space Research, The University of Texas, Austin 1984

    Google Scholar 

  • Ren, H. (1996): On the eroor analysis and implementation of some eigenvalue decomposition and singular value decomposition algorithms, UT-CS-96-336, LAPACK working note 115 (1996)

    Google Scholar 

  • Rencher A.C. (2000): Linear models in statistics, J. Wiley, New York 2000

    Google Scholar 

  • Renfer, J.D. (1997): Contour lines of L1-norm regression, Student 2 (1997), 27-36

    Google Scholar 

  • Resnikoff, G.J. and G.J. Lieberman (1957): Tables of the noncentral t-distribution, Stanford University Press, Stanford 1957

    Google Scholar 

  • Reubelt, T., Austen, G. and Grafarend, E.W. (2003): Harmonic analysis of the Earth’s gravitational field by means of semi-continuous ephemeris of a low Earth orbiting (LEO) GPS-tracked satellitecase study CHAMP, J. Geodesy, 77, 257-278

    Google Scholar 

  • Rham De, G. (1984): Differentiable Manifolds. Springer-Verlag, Berlin Heidelberg

    Google Scholar 

  • Riccomagno, E., Schwabe, R. and H.P. Wynn (1997): Lattice-based optimum design for Fourier regression, Ann. Statist. 25 (1997), 2313-2327

    Google Scholar 

  • Rice, J.R. (1969): The approximation of functions, Vol. II - Nonlinear and multivariate theory, Addison-Wesley, Reading 1969

    Google Scholar 

  • Richards, F.S.G. (1961): A method of maximum likelihood estimation, J. Roy. Stat. Soc. B23 (1961), 469-475

    Google Scholar 

  • Richardson, R. (1992): Ridge forces, absolute plate motions, and the intraplate stress field, J. geophys. Res., B97, 11739-11748

    Google Scholar 

  • Richter, H. and V. Mammitzsch (1973): Methode der kleinsten Quadrate, Stuttgart 1973

    Google Scholar 

  • Richter, B. (1986): Entwurf eines nichtrelativistischen geodätisch-astronomischen Bezugssystems, DGK, Reihe C, Heft Nr. 322.

    Google Scholar 

  • Riedel, K.S. (1992): A Sherman-Morrison-Woodbury identity for rank augmenting matrices with application to centering, SIAM J. Matrix Anal. Appl. 13 (1992), 659-662

    Google Scholar 

  • Riedwyl, H. (1997): Lineare Regression, Birkhäuser-Verlag, Basel Boston Berlin 1997

    Google Scholar 

  • Richter, W.D. (1985): Laplace-Gauß integrals, Gaussian measure asymptotic behaviour and probabilities of moderate deviations, Z.f. Analysis und ihre Anwendungen 4 (1985), 257-267

    Google Scholar 

  • Rinner, K. (1962): Über die Genauigkeit des räumlichen Bogenschnittes, Zeitschrift für Vermessungswesen 87} (1962) 361-374.

    Google Scholar 

  • Rivest, L.P. (1982): Some statistical methods for bivariate circular data, J. Roy. Statist. Soc. B44 (1982), 81-90

    Google Scholar 

  • Ritt, J.F. (1950): Differential algebra, AMS colloquium publications.

    Google Scholar 

  • Rivest, L.P. (1988): A distribution for dependent unit vectors, Comm. Statistics A: Theory Methods 17 (1988), 461-483

    Google Scholar 

  • Rivest, L. (1989): Spherical regression for concentrated Fisher-von Mises distributions, Annals of Statistics 17 (1989), 307-317

    Google Scholar 

  • Roach, G.F. (1982): Green’s Functions. Cambridge University Press, Cambridge.

    Google Scholar 

  • Roberts, P.H. and H.D. Ursell (1960): Random walk on the sphere and on a Riemannan manifold, Phil. Trans. Roy. Soc. A252 (1960), 317-356

    Google Scholar 

  • Robertson, H.P. (1940): The invariant theory of isotropic turbulence Proc. Cambridge Phil. Soc. 36 (1940) 209-223

    Google Scholar 

  • Robinson, E.A. (1967): Multichannel time series analysis with digital programs, 298 pages, Holden Day, San Francisco 1967

    Google Scholar 

  • Robinson, E.A. and Treitel, S. (1967): Principles of digital filtering, Geophysics 29 (1964), 395-404

    Google Scholar 

  • Robinson, G.K. (1982): Behrens-Fisher problem, Encyclopedia of the Statistical Sciences, Vol. 1, J. Wiley, New York 1982

    Google Scholar 

  • Rodgers, J.L. and W.A. Nicewander (1988): Thirteen ways to look at the correlation coefficient, the Maerican Statistician 42 (1988), 59-66

    Google Scholar 

  • Rohde C.A. (1965): Generalized inverses of partitioned matrices. J. Soc. Ind. Appl. Math. 13 (1965), 1033-1035.

    Google Scholar 

  • Rohde, C.A. (1966): Some results on generalized inverses, SIAM Rev. 8 (1966), 201-205

    Google Scholar 

  • Romano, J.P. and A.F. Siegel (1986): Counterexamples in probability and statistics, Chapman and Hall, Boca Raton 1986

    Google Scholar 

  • Romanowski, M. (1979): Random errors in observations and the influence of modulation on their distribution, K. Wittwer Verlag, Stuttgart 1979

    Google Scholar 

  • Rosen, F.: The algebra of Mohammed Ben Musa, London: Oriental Translation Fund 1831

    Google Scholar 

  • Rosen van, D. (1988): Moments for matrix normal variables, Statistics 19 (1988), 575-583

    Google Scholar 

  • Rosen, J.B., Park, H. and J. Glick (1996): Total least norm formulation and solution for structured problems, SIAM J. Matrix Anal. Appl. 17 (1996), 110-126

    Google Scholar 

  • Rosèen, K.D.P. (1948): Gauss’s mean error and other formulae for the precision of direct observations of equal weight, Tätigkeitsbereiche Balt. Geod. Komm. 1944-1947, 38-62, Helsinki 1948

    Google Scholar 

  • Rosenblatt, M. and Van Ness, J.W. (1965): Estimation of bispectrum, Ann. Math. Statist. 36 (1965), 1120-1136

    Google Scholar 

  • Rosenblatt, M. (1966): Remarks on higher order spectra, in : Multivariate Analysis, P.R. Krishnaiah (ed.) Academic Press, New York 1966

    Google Scholar 

  • Rosenblatt, M. (1971): Curve estimates, Ann. Math. Statistics 42 (1971), 1815-1842

    Google Scholar 

  • Rosenblatt, M. (1997): Some simple remarks on an autoregressive scheme and an implied problem, J. Theor. Prob. 10 (1997), 295-305

    Google Scholar 

  • Ross, G.J.S. (1982): Non-linear models, Math. Operationsforschung Statistik 13 (1982), 445-453

    Google Scholar 

  • Rosenborck, H.H. (1960): An Automatic Method for finding the Greatest or Least Value of a Function. Computer Journal, 3, 175-184.

    Google Scholar 

  • Ross, S.M. (1983): Stochastic processes, J. Wiley, New York 1983

    Google Scholar 

  • Rotta, J.C. (1972): Turbulente Strömuugen, Teubner Verlag, 267 pages, Stuttgart 1972

    Google Scholar 

  • Rousseeuw, P.J. (1984): Least Median of Squares Regression, Journal of the American Statistical Association, 79, pp. 871-880

    Google Scholar 

  • Rousseeuw, P.J. and A.M. Leroy (1987): Robust regression and outlier detection, J. Wiley, New York 1987

    Google Scholar 

  • Roy, T. (1995): Robust non-linear regression analysis, J. Chemometrics 9 (1995), 451-457

    Google Scholar 

  • Rozanski, I.P. and R. Velez (1998): On the estimation of the mean and covariance parameter for Gaussian random fields, Statistics 31 (1998), 1-20

    Google Scholar 

  • Rubin, D.B. (1976): Inference and missing data, Biometrica 63 (1976), pp. 581-590

    Google Scholar 

  • Rueda, C., Salvador, B. and M.A. Fernèandez (1997): Simultaneous estimation in a restricted linear model, J. Multivar. Anal. 61 (1997), 61-66

    Google Scholar 

  • Rueschendorf, L. (1988): Asymptotische Statistik, Teubner, Stuttgart 1988

    Google Scholar 

  • Rummel, R. (1975): Zur Behandlung von Zufallsfunktionen und -folgen in der physikalischen Geodäsie, Deutsche Geodätische Kommission bei der Bayerischen Akademie der Wissenschaften, Report No. C 208, München 1975

    Google Scholar 

  • Rummel, R. (1976): A model comparison in least-squares collocation. Bull Geod 50:181-192

    Google Scholar 

  • Rummel, R. and K. P.Schwarz (1977): On the nonhomogenity of the global covariance function, Bull. Gèeodèesique 51 (1977), 93-103

    Google Scholar 

  • Rummel, R. and Teunissen, P. (1982): A connection between geometric and gravimetric geodesy - some remarks on the role of the gravity field. Feestbundel ter gelegenheid van de 65ste verjaardag van Professor Baarda, Deel II, pp. 603-623, Department of GeodeticScience, Delft University

    Google Scholar 

  • Runge, C. (1900): Graphische Ausgleichung beim Rückwätseinchneiden, Zeitschrift für Vermessungswesen 29} (1900) 581-588.

    Google Scholar 

  • Ruppert, D. and R.J. Carroll (1980): Trimmed least squares estimation in the linear model, J. Am. Statist. Ass. 75 (1980), 828-838

    Google Scholar 

  • Rutherford, D.E. (1933): On the condition that two Zehfuss matrices be equal, Bull. Amer. Math. Soc. 39 (1933), 801-808

    Google Scholar 

  • Rutherford, A. (2001): Introducing Anova and Ancova - a GLM approach, Sage, London 2001

    Google Scholar 

  • Rysavy, J. (1947): Higher geodesy. Jeska matice technicka, Praha, 1947 (in Czech).

    Google Scholar 

  • Saalfeld, A. (1999): Generating basis sets of double differences, Journal of Geodesy 73 (1999), 291-297

    Google Scholar 

  • Saastamoinen, J. (1973a): Contributions to the theory of atmospheric refraction. J. of Geodesy 46: 279-298

    Google Scholar 

  • Saastamoinen, J. (1973b):Contribution to the theory of atmospheric refraction. Part II refraction corrections in satellite geodesy. Bulletin Godsique 107:13-34, 1973.

    Google Scholar 

  • Sacks, J. and D. Ylvisaker (1966): Design for regression problems with correlated errors, Annals of Mathematical Statistics 37 (1966), 66-89

    Google Scholar 

  • Sahai, H. (2000): The analysis of variance: fixed, random and mixed models, 778 pages, Birkhäuser-Verlag, Basel Boston Berlin 2000

    Google Scholar 

  • Sahin, M., Cross, P.A. and P.C. Sellers. (1992): Variance components estimation applied to satellite laser ranging, Bulletin Geodesique, vol. 66, no. 3, p. 284-295.

    Google Scholar 

  • Saichev, A.I. and W.A. Woyczynski (1996): Distributions in the physical and engineering sciences, Vol. 1, Birkäuser Verlag, Basel 1996

    Google Scholar 

  • Saito, T. (1973): The non-linear least squares of condition equations, Bull. Geod. 110} (1973) 367-395.

    Google Scholar 

  • Salmon, G. (1876): Lessons Introductory to modern higher algebra, Hodges, Foster and Co., Dublin 1876.

    Google Scholar 

  • Samorodnitsky, G. and M.S. Taqqu (1994): Stable non-Gaussian random processes, Chapman and Hall, Boca Raton 1994

    Google Scholar 

  • Sampson, P.D. and P. Guttorp (1992): Nonparametric estimation of nonstationary spatial covariance structure, J. Am. Statist. Ass. 87 (1992), 108-119

    Google Scholar 

  • Sander, B. (1930): Gefugekunde und Gesteine, J. Springer, Vienna 1930

    Google Scholar 

  • Sanséo, F. (1990): On the aliasing problem in the spherical harmonic analysis, Bull. Gèeodesique 64 (1990), 313-330

    Google Scholar 

  • Sanséo, F. and G. Sona (1995): The theory of optimal linear estimation for continuous fields of measurements, Manuscripta Geodetica 20 (1995), 204-230

    Google Scholar 

  • Sanso, F. (1973): An Exact Solution of the Roto-Translation Problem. Photogrammetria, Vol. 29, 203-216.

    Google Scholar 

  • Sanso, F. (1986): Statistical methods in physical geodesy. In: Suenkel H (ed), Mathematical and numerical techniques in physical geodesy, Lecture Notes in Earth Sciences, vol. 7 Springer, pp 49-156

    Google Scholar 

  • Sanso, F. and Tscherning, C.C. (2003): Fast spherical collocation: theory and examples. J Geod 77(1-2):101-112

    Google Scholar 

  • Sastry, K. and Krishna, V. (1948) On a Bessel function of the second kind and Wilks Z-distribution. Proc Indian Acad Sci Series A 28:532-536

    Google Scholar 

  • Sastry, S. (1999): Nonlinear systems: Analysis, stability and control, Springer-Verlag, Heidelberg Berlin New York 1999

    Google Scholar 

  • Sathe, S.T. and H.D. Vinod (1974): Bound on the variance of regression coefficients due to heteroscedastic or autoregressive errors, Econometrica 42 (1974), 333-340

    Google Scholar 

  • Saw, J.G. (1978): A family of distributions on the m-sphere and some hypothesis tests, Biometrika 65 (1978), 69-73

    Google Scholar 

  • Saw, J.G. (1981): On solving the likelihood equations which derive from the Von Mises distribution, Technical Report, University of Florida, 1981

    Google Scholar 

  • Sayed, A.H., Hassibi, B. and T. Kailath (1996), Fundamental inertia conditions for the minimization of quadratic forms in indefinite metric spaces, Oper. Theory: Adv. Appl., Birkhäuser-Verlag, Basel Boston Berlin 1996

    Google Scholar 

  • Schach, S. and T. Schäfer (1978): Regressions- und Varianzanalyse, Springer-Verlag, Heidelberg Berlin New York 1978

    Google Scholar 

  • Schafer, J.L. (1997): Analysis of incomplete multivariate data, Chapman and Hall, London 1997

    Google Scholar 

  • Schaffrin, B. (1979): Einige ergänzende Bemerkungen zum empirischen mittleren Fehler bei kleinen Freiheitsgraden, Z. Vermessungsesen 104 (1979), 236-247

    Google Scholar 

  • Schaffrin, B. (1981a): Some proposals concerning the diagonal second order design of geodetic networks, manuscripta geodetica 6 (1981) 303-326

    Google Scholar 

  • Schaffrin, B. (1981b): Varianz-Kovarianz-Komponenten-Schatzung bei def Ausgleichung heterogener, Wiederhungsmessungen. Ph.D. Thesis, University of Bonn, Bonn, Germany.

    Google Scholar 

  • Schaffrin, B. (1983a): Varianz-Kovarianz Komponentenschätzung bei der Ausgleichung heterogener Wiederholungsmessungen, Deutsche Geodätische Kommission, Report C 282, München, 1983

    Google Scholar 

  • Schaffrin, B. (1983b): Model choice and adjustment techniques in the presence of prior information, Ohio State University Department of Geodetic Science and Surveying, Report 351, Columbus 1983

    Google Scholar 

  • Schaffrin, B. (1983c): A note on linear prediction within a Gauβ - Markov model linearized with respect to a random approximation. 1st Int. Tampere Seminar on Linear Models and their Applications. Tampere/ Finland.

    Google Scholar 

  • Schaffrin, B. (1984): Das geodätische Datum mit stochastischer Vorinformation. Habilitationsschrift Stuttgart.

    Google Scholar 

  • Schaffrin, B. (1985a): The geodetic datum with stochastic prior information, Publ. C313, German Geodetic Commission, München 1985

    Google Scholar 

  • Schaffrin, B. (1985b): On Design Problems in Geodesy using Models with Prior Information. Statistics & Decisions, Supplement Issue 2 443-453.

    Google Scholar 

  • Schaffrin, B. (1985c): A note on linear prediction within a Gauss-Markov model linearized with respect to a random approximation. In: Proc. First Tampere Sem. Linear Models (1983), Eds.: T. Pukkila, S. Puntanen, Dept. of Math. Science/Statistics, Univ. of Tamp ere/Finland, Report No. A-138, 285-300.

    Google Scholar 

  • Schaffrin, B. (1986): New estimation/prediction techniques for the determination of crustal deformations in the presence of geophysical prior information, Technometrics 130 (1986), pp. 361-367

    Google Scholar 

  • Schaffrin, B. (1991): Generalized robustified Kalman filters for the integration of GPS and INS, Tech. Rep. 15, Geodetic Institute, Stuttgart Unversity 1991

    Google Scholar 

  • Schaffrin, B. (1997): Reliability measures for correlated observations, Journal of Surveying Engineering 123 (1997), 126-137

    Google Scholar 

  • Schaffrin, B. (1999): Softly unbiased estimation part1: The Gauss-Markov model, Linear Algebra and its Applications 289 (1999), 285-296

    Google Scholar 

  • Schaffrin, B. (2001): Equivalent systems for various forms of kriging, including least-squares collocation, Zeitschrift für Vermessungswesen 126 (2001), 87-94

    Google Scholar 

  • Schaffrin, B. (2005): On total least squares adjustment with constraints, in: A window on the future of Geodesy, F. Sanso (ed.), pp. 417-421., Springer Verlag, Berlin-Heidelberg-New York 2005

    Google Scholar 

  • Schaffrin, B. (2007): Connecting the dots: The straight line case revisited, Deutscher Verein für Vermessungswesen (zfv2007), 132.Jg., 2007, pp. 385-394

    Google Scholar 

  • Schaffrin, B. (2008): Minimum mean squared error (MSE) adjustment and the optimal Tykhonov-Phillips regularization parameter via reproducing best invariant quadratic uniformly unbiased estimates (repro-BIQUUE), J. Geodesy, 92 (2008) 113-121

    Google Scholar 

  • Schaffrin, B., Grafarend, E. and Schmitt G. (1977): Kanonisches Design geodätischer Netze I. Manuscripta geodaetica 2, pp. 263-306.

    Google Scholar 

  • Schaffrin, B., Grafarend, E. and G. Schmitt (1977): Kanonisches Design Geodätischer Netze I, Manuscripta Geodaetica 2 (1977), 263-306

    Google Scholar 

  • Schaffrin, B., Grafarend, E. and G. Schmitt (1978): Kanonisches Design Geodätischer Netze II, Manuscripta Geodaetica 2 (1978), 1-22

    Google Scholar 

  • Schaffrin, B., Krumm, F. and Fritsch, D. (1980): Positiv diagonale Genauigkeit 0p.timierun  von Realnetzen Über den Komplementarltats-Algorlthmus In: Ingenieurvermessung 80, ed. Conzett R, Schmitt M,Schmitt H. Beitrage zum VIII. Internat. Kurs für Ingenieurvermessung, Zurich.

    Google Scholar 

  • Schaffrin, B. and E.W. Grafarend (1982a): Kriterion-Matrizen II: Zweidimensionale homogene und isotrope geodätische Netze, Teil II a: Relative cartesische Koordinaten, Zeitschrift für Vermessungswesen 107 (1982), 183-194

    Google Scholar 

  • Schaffrin, B. and E.W. Grafarend (1982b): Kriterion-Matrizen II: Zweidimensionale homogene und isotrope geodätische Netze. Teil II b: Absolute cartesische Koordinaten, Zeitschrift für Vermessungswesen 107 (1982), 485-493

    Google Scholar 

  • Schaffrin, B. and E. Grafarend (1986): Generating classes of equivalent linear models by nuissance parameter elimination, manuscripta geodaetica 11 (1986), 262-271

    Google Scholar 

  • Schaffrin, B. and E.W. Grafarend (1991): A unified computational scheme for traditional and robust prediction of random effects with some applications in geodesy, The Frontiers of Statistical Scientific Theory & Industrial Applications 2 (1991), 405-427

    Google Scholar 

  • Schaffrin, B. and J.H. Kwon (2002): A Bayes filter in Friendland form for INS/GPS vector gravimetry, Geophys. J. Int. 149 (2002), 64-75

    Google Scholar 

  • Schaffrin, B. and A. Wieser (2008): On weighted total least squares adjustment for linear regression, J. Geodesy, 82, (2008) 415-421

    Google Scholar 

  • Schall, R., Dunne, T.T. (1988): A unified approach to outliers in the general linear model. Sankhya, Ser. B 50, 2 (1988), 157-167.

    Google Scholar 

  • Scheffé, H. (1959): The analysis of variance, Wiley, New York 1959

    Google Scholar 

  • Scheidegger, A.E. (1965): On the statistics of the orientation of bedding planes, grain axes and similar sedimentological data, U.S. Geol. Survey Prof. Paper 525-C (1965), 164-167

    Google Scholar 

  • Schleider, D. (1982): Complex crustal strain approximation, Ph.D. dissertation, Reports of Department of Surveying Engineering of UNB No.91, Canada

    Google Scholar 

  • Scheffe, H. (1943): On solutions of the Behrens-Fisher problem based on the t-distribution, Ann. Math. Stat., 14, 35-44

    Google Scholar 

  • Scheffe, H. (1999): The analysis of variance. John Wiley & Sons, New York, 1999 (repr. of the 1959 orig.).

    Google Scholar 

  • Schek, H.J. (1974): The Force Densities Method for Form Finding and Computation of General Networks. Computer Methods in Applied Mechanics and Engineering, 3, 115-134.

    Google Scholar 

  • Schek, H.J. (1975): Least-Squares-Losungen und optimale Dampfung bei nichtlinearen Gleichungssystemen im Zusammenhang mit der bedingten Ausgleichung. Zeitschrift fiir Vermessungswesen, 2, 67-77.

    Google Scholar 

  • Schek, H.J. and Maier, P. (1976): Nichtlineare Normalgleichungen zur Bestimmung der Unbekannten und deren Kovarianzmatrix, Zeitschrift für Vermessungswesen 101} (1976) 140-159.

    Google Scholar 

  • Schetzen, M. (1980): The Volterra and Wiener theories of nonlinear systems, J. Wiley, New York 1980

    Google Scholar 

  • Schick, A. (1999): Improving weighted least-squares estimates in heteroscedastic linear regression when the variance is a function of the mean response, J. Statist. Planning and Inference 76 (1999), 127-144

    Google Scholar 

  • Schiebler, R. (1988): Giorgio de Chirico and the theory of relativity, Lecture given at Stanford University, Wuppertal 1988

    Google Scholar 

  • Schmetterer, L. (1956): Einführung in die mathematische Statistik, Wien 1956

    Google Scholar 

  • Schmidt, E. (1907): Entwicklung willkürlicher Funktionen, Math. Annalen 63 (1907), 433-476

    Google Scholar 

  • Schmidt, K. (1996): A comparison of minimax and least squares estimators in linear regression with polyhedral prior information, Acta Applicandae Mathematicae 43 (1996), 127-138

    Google Scholar 

  • Schmidt, K.D. (1996): Lectures on risk theory, Teubner Skripten zur Mathematischen Stochastik, Stuttgart 1996

    Google Scholar 

  • Schmidt, P. (1976): Econometrics, Marcel Dekker, New York 1976

    Google Scholar 

  • Schmidt-Koenig, K. (1972): New experiments on the effect of clock shifts on homing pigeons in animal orientation and navigation, Eds.: S.R. Galler, K. Schmidt-Koenig, G.J. Jacobs and R.E. Belleville, NASA SP-262, Washington D:C. 1972

    Google Scholar 

  • Schmidt, V. (1999): Begrundung einer Meβanweisung für die Überwachungsmessungen am Maschinenhaus des Pumpspeicherwerkes Hohenwarthe, Diplomarbeit, TU Bergakademie Frieberg Inst. für Markscheidewesen und Geodasie, 1999

    Google Scholar 

  • Schmidt, W.H. and S. Zwanzig (1984): Testing hypothesis in nonlinear regression for nonnormal distributions, Proceedings of the Conference on Robustness of Statistical Methods and Nonparametric Statistics, VEBDeutscher Verlag der Wissenschaften Berlin, 1984, 134 138.

    Google Scholar 

  • Schmidt, W.H. and S. Zwanzig (1986):, Second order asymptotics in nonlinear regression. J. Multiv. Anal., VoL 18, No. 2, 187-215.

    Google Scholar 

  • Schmidt, W.H. and S. Zwanzig (1986): Testing hypothesis in nonlinear regression for nonnormal distributions. Statistics, VoL 17, No.4, 483-503.

    Google Scholar 

  • Schmitt, G. (1975): Optimaler Schnittwinkel der Bestimmungsstrecken beim einfachen Bogenschnitt, Allg. Vermessungsnachrichten 6 (1975), 226-230

    Google Scholar 

  • Schmitt, G. (1977): Experiences with the second-order design problem in theoretical and practical geodetic networks, Proceedings International Symposium on Optimization of Design and Computation of Control Networks, Sporon 1977

    Google Scholar 

  • Schmitt, G. (1977): Experiences with the second-order design problem in theoretical and practical geodetic networks, Optimization of design and computation of control networks. F. Halmos and J. Somogyi eds, Akadèemiai Kiadèo, Budapest (1979), 179-206

    Google Scholar 

  • Schmitt, G. (1978): Gewichtsoptimierung bei Mehrpunkteinschaltung mit Streckenmessung, Allg. Vermessungsnachrichten 85 (1978), 1-15

    Google Scholar 

  • Schmitt, G., Grafarend, E. and B. Schaffrin, (1978): Kanonisches Design Geodätischer Netze II. Manuscr. Geod. 1, 1-22.

    Google Scholar 

  • Schmitt, G. (1979): Zur Numerik der Gewichtsoptimierung in geodätischen Netzen, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, Report 256, München 1979

    Google Scholar 

  • Schmitt, G. (1980): Second order design of a free distance network considering different types of criterion matrices, Bull. Geodetique 54 (1980), 531-543

    Google Scholar 

  • Schmitt, G. (1985): Second Order Design, Third Order Design, Optimization and design of geodetic networks, Springer-Verlag, Heidelberg Berlin New York 1985, 74-121

    Google Scholar 

  • Schmitt, G., Grafarend, E.W. and B. Schaffrin.(1977): Kanonisches Design geodätischer Netze I, manus-cripta geodaetica 2 (1977), 263-306

    Google Scholar 

  • Schmitt, G., Grafarend, E.W. and B. Schaffrin (1978): Kanonisches Design geodätischer Netze II, manuscripta geodaetica 3 (1978), 1-22

    Google Scholar 

  • Schmutzer, E. (1989): Grundlagen der Theoretischen Physik, Teil I, BI Wissenschaftsverlag, Mannheim

    Google Scholar 

  • Schneeweiß, H. and H.J. Mittag (1986): Lineare Modelle mit fehlerbehafteten Daten, Physica-Verlag, Heidelberg 1986

    Google Scholar 

  • Schock, E. (1987): Implicite iterative methods for the approximate solution of ill-posed problems, Bolletino U.M.I., Series 1-B, 7 (1987), 1171-1184

    Google Scholar 

  • Schoenberg, I.J. (1938): Metric spaces and completely monotone functions, Ann. Math. 39 (1938), 811-841

    Google Scholar 

  • Schön, S. (2003): Analyse und Optimierung geodätischer Messanordnungen unter besonderer Berücksichtigung des Intervallansatzes, DGK, Reihe C, Nr. 567, München, 2003

    Google Scholar 

  • Schön, S. and Kutterer, H. (2006): Uncertainty in GPS networks due to remaining systematic errors: the interval approach, in: Journal of Geodesy, Vol. 80 no. 3, pp. 150-162, 2006.

    Google Scholar 

  • Schönemann, P.H. (1996): Generalized solution of the orthogonal Procrustes problem, Psychometrika 31} (1996) 1-10.

    Google Scholar 

  • Schönemann, S.D. (1969): Methoden der Öknometrie, Bd. 1, Vuhlen, Berlin 1969

    Google Scholar 

  • Schönfeld P., Werner H.J. (1994): A note on C.R. Rao’s wider definition BLUE in the general Gauss-Markov model. Sankhya, Ser. B 49, 1 (1987), 1-8.

    Google Scholar 

  • Schott, J.R. (1997): Matrix analysis for statistics, J. Wiley, New York 1997

    Google Scholar 

  • Schott, J.R. (1998): Estimating correlation matrices that have common eigenvectors, Comput. Stat. & Data Anal. 27 (1998), 445-459

    Google Scholar 

  • Schouten, J.A. and J. Haantjes (1936): über die konforminvariante Gestalt der relativistischen Bewegungsgleichungen, in: Koningl. Ned. Akademie van Wetenschappen, Proc. Section of Sciences, Vol. 39, Noord-Hollandsche Uitgeversmaatschappij, Amsterdam 1936

    Google Scholar 

  • Schouten, J.A. and Struik, D.J. (1938): Einfiihrung in die neueren Methoden der Differentialgeometrie. I/Il, Noordhoff, Groningen-Batavia.

    Google Scholar 

  • Schreiber, O. (1882): Anordnung der Winkelbeobachtungen im GHttinger Basisnetz. lfV I, 129-161

    Google Scholar 

  • Schroeder, M. (1991): Fractals, chaos, power laws, Freeman, New York 1991

    Google Scholar 

  • Schultz, C. and G. Malay (1998): Orthogonal projections and the geometry of estimating functions, J. Statist. Planning and Inference 67 (1998), 227-245

    Google Scholar 

  • Schultze, J. and J. Steinebach (1996): On least squares estimates of an exponential tail coefficient, Statistics & Decisions 14 (1996), 353-372

    Google Scholar 

  • Schupler, B.R., Allshouse, R.L. and Clark, T.A. (1994): Signal Characteristics of GPS User Antennas. Navigation 4113: 177-295

    Google Scholar 

  • Schuster, H.-F. and Forstner, W. (2003): Segmentierung, Rekonstruktion undDatenfusion bei der Objekterfassung mit Entfernungsdaten - ein Oberb/ick. Proceedings 2. Oldenburger 3DTage. Oldenburg

    Google Scholar 

  • Schur, J. (1911): Bemerkungen zur Theorie der verschränkten Bilinearformen mit unendlich vielen Veränderlichen, J. Reine und Angew. Math. 140 (1911), 1-28

    Google Scholar 

  • Schur, J. (1917): über Potenzreihen, die im Innern des Einheitskreises beschränkt sind, J. Reine Angew. Math. 147 (1917), 205-232

    Google Scholar 

  • Schwarz, G. (1978): Estimating the dimension of a model, The Annals Of Statistics 6 (1978), 461-464

    Google Scholar 

  • Schwarz, H. (1960): Stichprobentheorie, Oldenbourg, München 1960

    Google Scholar 

  • Schwarz, K. P. (1976): Least-squares collocation for large systems, Boll. Geodesia e Scienze Affini 35 (1976), 309-324

    Google Scholar 

  • Schwarz, C.R. and Kok, J.J. (1993) Blunder detection and Data Snooping in LS and Robust Adjustments. J Surv Eng 119:127-136

    Google Scholar 

  • Schwarze, V.S. (1995): Satellitengeodätische Positionierung in der relativistischen Raum-Zeit, DGK, Reihe C, Heft Nr.449.

    Google Scholar 

  • Schwieger, W. (1996): An approach to determine correlations between GPS monitored deformation epochs, In: Proc. of the 8th International Symposium on Deformation Measurements, Hong Kong, 17-26, 1996.

    Google Scholar 

  • Scitovski, R. and D. Jukièc (1996): Total least squares problem for exponential function, Inverse Problems 12 (1996), 341-349

    Google Scholar 

  • Sckarosfsky, I.P. (1968): Generalized turbulence and space correlation and wave numberspectrum function pairs, Canadian J. of Physics 46 (1968) 2133-2153

    Google Scholar 

  • Seal, H.L. (1967): The historical development of the Gauss linear model, Biometrika 54 (1967), 1-24

    Google Scholar 

  • Searle, S.R. (1971a). Linear Models, J. Wiley, New York 1971

    Google Scholar 

  • Searle, S.R. (1971b): Topics in variance components estimation, Biometrics 27 (1971), 1-76

    Google Scholar 

  • Searle, S.R. (1974): Prediction, mixed models, and variance components, Reliability and Biometry (1974), 229-266

    Google Scholar 

  • Searle, S.R. (1982): Matrix algebra useful for statistics, Wiley, New York 1982

    Google Scholar 

  • Searle, S.R. (1994): Extending some results and proofs for the singular model. Linear Algebra Appl. 210 (1994), 139-15l.

    Google Scholar 

  • Searle, S.R. and C.R. Henderson (1961): Computing procedures for estimating components of variance in the two-way classification, mixed model, Biometrics 17 (1961), 607-616

    Google Scholar 

  • Searle, S.R., Casella, G. and C.E. McCulloch (1992): Variance components, J. Wiley, New York 1992

    Google Scholar 

  • Seber, G.A.F. (1977): Linear regression analysis, J. Wiley, New York 1977

    Google Scholar 

  • Seber, G.A.F. and Wild, C.J. (1989): Nonlinear Regression. John Wiley & Sons, New York.

    Google Scholar 

  • Seeber, G. (1989): Satellitengeodiisie: - Grundlagen, Methoden und Anwendungen. Walter deGruyter, Berlin- New York, 489p

    Google Scholar 

  • Seely, J. (1970): Linear spaces and unbiased estimation, Ann. Math. Statist. 41 (1970), 1725-1734

    Google Scholar 

  • Seely, J. (1970): Linear spaces and unbiased estimation - Application to the mixed linear model, Ann. Math. Statist. 41 (1970), 1725-1734

    Google Scholar 

  • Seely, J. (1971): Quadratic subspaces and completeness, Ann. Math. Statist. 42 (1971), 710-721

    Google Scholar 

  • Seely, J. (1975): An example of an inquadmissible analysis of variance estimator for a variance component, Biometrika 62 (1975), 689

    Google Scholar 

  • Seely, J. (1977): Minimal sufficient statistics and completeness, Sankhya, Series A, Part 2, 39 (1977), 170-185

    Google Scholar 

  • Seely, J. (1980): Some remarks on exact confidence intervals for positive linear combinations of variance components, J. Am. Statist. Ass. 75 (1980), 372-374

    Google Scholar 

  • Seely, J. and R.V. Hogg (1982): Unbiased estimation in linear models, Communication in Statistics 11 (1982), 721-729

    Google Scholar 

  • Seely, J. and Y. El-Bassiouni (1983): Applying Wald’s variance components test, Ann. Statist. 11 (1983), 197-201

    Google Scholar 

  • Seely, J. and E.-H. Rady (1988): When can random effects be treated as fixed effects for computing a test statistics for a linear hypothesis?, Communications in Statistics 17 (1988), 1089-1109

    Google Scholar 

  • Seely, J. and Y. Lee (1994): A note on the Satterthwaite confidence interval for a variance, Communications in Statistics 23 (1994), 859-869

    Google Scholar 

  • Seely, J., Birkes, D. and Y. Lee (1997): Characterizing sums of squares by their distribution, American Statistician 51 (1997), 55-58

    Google Scholar 

  • Seemkooei, A.A. (2001): Comparison of reliability and geometrical strength criteria in geodetic networks, Journal of Geodesy 75 (2001), 227-233

    Google Scholar 

  • Segura, J. and A. Gil (1999): Evaluation of associated Legendre functions off the cut and parabolic cylinder functions, Electronic Transactions on Numerical Analysis 9 (1999), 137-146

    Google Scholar 

  • Seidelmann, P.K. (ed) (1992): Explanatory Supplement to the Astronomical Almanac. University Science Books, Mill Valley, 752p

    Google Scholar 

  • Selby, B. (1964): Girdle distributions on the sphere, Biometrika 51 (1964), 381-392

    Google Scholar 

  • Sengupta D. (1995): Optimal choice of a new observation in a linear model. Sankhya, Ser. A 57, 1 (1995), 137-153.

    Google Scholar 

  • Sengupta, A. and R. Maitra (1998): On best equivariance and admissibility of simultaneous MLE for mean direction vectors of several Langevin distributions, Ann. Inst. Statist. Math. 50 (1998), 715-727

    Google Scholar 

  • Sengupta, D. and S.R. Jammalamadaka (2003): Linear models, an integrated approach, In series of Multivariate analysis 6 (2003)

    Google Scholar 

  • Sering, R.J. (1980): Approximation theorems of mathematical statistics, J. Wiley, New York 1980

    Google Scholar 

  • Shaban, A.M.M. (1994): ANOVA, MINQUE, PSD-MIQMBE, CANOVA and CMINQUE in estimating variance components, Statistica 54 (1994), 481-489

    Google Scholar 

  • Shah, B.V. (1959): On a generalisation of the Kronecker product designs, Ann. Math. Statistics 30 (1959), 48-54

    Google Scholar 

  • Shalabh (1998): Improved estimation in measurement error models through Stein rule procedure, J. Multivar. Anal. 67 (1998), 35-48

    Google Scholar 

  • Shamir, G. and Zoback, M.D. (1992): Stress orientation profile to 3.5 km depth near the San Andreas fault at Cajon Pass, California, J. geophys. Res., B97, 5059-5080

    Google Scholar 

  • Shao, Q.-M. (1996): p-variation of Gaussian processes with stationary increments, Studia Scientiarum Mathematicarum Hungarica 31 (1996), 237-247

    Google Scholar 

  • Shapiro, S.S. and M.B. Wilk (1965): An analysis of variance for normality (complete samples), Biometrika 52 (1965), 591-611

    Google Scholar 

  • Shapiro, S.S., Wilk, M.B. and M.J. Chen (1968): A comparative study of various tests for normality, J. Am. Statist. Ass. 63 (1968), 1343-1372

    Google Scholar 

  • Shapiro, L.S. and Brady, M. (1995): Rejecting outliers and estimating errors in an orthogonal regression framework. Philos. Trans. R. Soc. Lond., Ser. A 350, 1694 (1995), 407-439.

    Google Scholar 

  • Sheppard, W.F. (1912): Reduction of errors by means of negligible differences, Proc. 5th Int. Congress Mathematicians (Cambridge) 2 (1912), 348-384

    Google Scholar 

  • Sheynin, O.B. (1966): Origin of the theory of errors, Nature 211 (1966), 1003-1004

    Google Scholar 

  • Sheynin, O.B. (1979): Gauß and the theory of errors, Archive for History of Exact Sciences 20 (1979)

    Google Scholar 

  • Sheynin, O. (1995): Helmert’s work in the theory of errors, Arch. Hist. Exact Sci. 49 (1995), 73-104

    Google Scholar 

  • Shiryayev, A.N. (1973): Statistical sequential analysis, Transl. Mathematical Monographs 8, American Mathematical Society, Providence/R.I. 1973

    Google Scholar 

  • Shkarofsky, I.P. (1968): Generalized turbulence space-correlation and wave-number spectrum-function pairs, Canadian Journal of Physics 46 (1968), 2133-2153

    Google Scholar 

  • Shorack, G.R. (1969): Testing and estimating ratios of scale parameters, J. Am. Statist. Ass. 64, 999-1013, 1969

    Google Scholar 

  • Shrivastava, M.P. (1941): Bivariate correlation surfaces. Sci Cult 6:615-616

    Google Scholar 

  • Shumway, R.H. and D.S. Stoffer (2000): Time series analysis and its applications, Springer-Verlag, Heidelberg Berlin New York 2000

    Google Scholar 

  • Shut, G.H. (1958/59): Construction of orthogonal matrices and their application in analytical Photogrammetrie, Photogrammetria XV} (1958/59) 149-162

    Google Scholar 

  • Shwartz, A. and Weiss, A. (1995): Large deviations for performance analysis. Chapman and Hall, Boca Raton

    Google Scholar 

  • Sibuya, M. (1960): Bivariate extreme statistics, Ann. Inst. Statist. Math. 11 (1960), 195-210

    Google Scholar 

  • Sibuya, M. (1962): A method of generating uniformly distributed points on n-dimensional spheres, Ann. Inst. Statist. Math. 14 (1962), 81-85

    Google Scholar 

  • Siegel, A.F. (1982): Robust Regression Using Repeated Medians Biometrika 69, pp. 242-244

    Google Scholar 

  • Siegel, C.L. (1937): Über die analytische Theorie der quadratischen Formen, Ann. of Math. vol. 38, (1937), pp. 212-291

    Google Scholar 

  • Sillard, P., Altamimi, Z. and C. Boucher (1998): The ITRF96 realization and its associated velocity field, Geophysical Research Letters 25 (1998), 3223-3226

    Google Scholar 

  • Silvey, S.D. (1969): Multicollilinearlity and imprecise estimation, J. Roy. Stat. Soc., Series B 35 (1969), pp 67-75

    Google Scholar 

  • Silvey, S.D. (1975): Statistical inference, Chapman and Hall, Boca Raton 1975

    Google Scholar 

  • Silvey, S.D. (1980): Optimal design, Chapman and Hall, 1980

    Google Scholar 

  • Sima, V. (1996): Algorithms for linear-quadratic optimization, Dekker, New York 1996

    Google Scholar 

  • Simmonet, M. (1996): Measures and probabilities, Springer-Verlag, Heidelberg Berlin New York 1996

    Google Scholar 

  • Simoncini, V. and F. Perotti (2002): On the numerical solution of and application to structural dynamics, SIAM J. Sci. Comput. 23 (2002), 1875-1897

    Google Scholar 

  • Simonoff. J.S. (1996): Smoothing methods in statistics. Springer, Heidelberg Berlin New York

    Google Scholar 

  • Sinai, Y.G. (1963): On properties of spectra of ergodic dynamical systems, Dokl. Akad. Nauk. SSSR 150 (1963)

    Google Scholar 

  • Sinai, Y.G. (1963): On higher order spectral measures of ergodic stationary processes Theory Probability Appl. (USSR) (1963) 429-436

    Google Scholar 

  • Singer, P., Ströbel, D,. Hördt, R., Bahndorf, J. and Linkwitz, K. (1993): Direkte Lösung des räümlichen Bogenschnitts, Zeitschrift für Vermessungswesen 118} (1993) 20-24

    Google Scholar 

  • Singh, R. (1963): Existence of bounded length confidence intervals, Ann. Math. Statist. 34 (1963), 1474-1485

    Google Scholar 

  • Sion, M. (1958): On general minimax theorems. Pac. J. Math. 8:171-176

    Google Scholar 

  • Sirkova, L. and V. Witkovsky (2001): On testing variance components in unbalanced mixed linear model, Applications in Mathematics 46(2001), 191-213

    Google Scholar 

  • Sjöberg, L.E. (1983a): Unbiased estimation of variance-covariance components in condition adjustment. Univ. of Uppsala, Institute of Geophysics, Dept. of Geodesy, Report No. 19, 223-237.

    Google Scholar 

  • Sjöberg, L.E. (1983b): Unbiased estimation of variance-components in condition adjustment with unknowns-a MINQUE approach. Zeitschriftfur Vennessungen, 108(9), 382-387.

    Google Scholar 

  • Sjöberg, L.E. (1984a): Non-negative variance component estimation in the Gauss-Helmert adjustment model. Manuscripta Geodaetica, 9, 247-280.

    Google Scholar 

  • Sjöberg, L.E. (1984b): Least-Squares modification of Stokes’ and Venin g-Meinez , formula by accounting for truncation and potential coefficients errors. Manuscripta Geodaetica, 9, 209-229.

    Google Scholar 

  • Sjöberg, L.E. (1985): Adjustment and. variance components estimation with a singular covariance. matrix. Zeitschriftfur Vermessungen, 110(4),145-151.

    Google Scholar 

  • Sjöberg, L.E. (1993): General Matrix calculus, adjustment, variance covariance components estimation. Lecture note, Royal Institute of Technology, Stockholm, Sweden.

    Google Scholar 

  • Sjöberg, L.E. (1994): The Best quadratic minimum biased non-negative definite estimator for an additive two variance components model. Royal Institute of Technology, Stockholm, Sweden.

    Google Scholar 

  • Sjöberg, L.E. (1995): The best quadratic minimum bias non-negative estimator for an additive two variance component model. Manuscripta Geodaetica (1995) 20:139-144.

    Google Scholar 

  • Sjöberg, L.E. (1999): An efficient iterative solution to transform rectangular geocentric coordinates to geodetic coordinates, Zeitschrift für Vermessungswesen 124} (1999) 295-297.

    Google Scholar 

  • Sjöberg, L.E. (2008): A computational scheme to model the geoid by the modified Stokes formula without gravity reductions, J. Geod., 74, 255-268.

    Google Scholar 

  • Sjöberg, L.E. (2011): On the best quadratic minimum bias non-negative estimator of a two-variance component model, J. Geodetic Science 1(2011) 280-285

    Google Scholar 

  • Skolnikoff, I.S. (1956): Mathematical Theory of Elasticity, McGraw-Hill, New York 1956

    Google Scholar 

  • Slakter, M.J. (1965): A comparison of the Pearson chi-square and Kolmogorov goodness-of-fit-tests with respect to validity, J. Am. Statist. Ass. 60 (1965), 854-858

    Google Scholar 

  • Small, C.G. (1996): The statistical theory of shape, Springer-Verlag, Heidelberg Berlin New York 1996

    Google Scholar 

  • Smith, A.F.M. (1973): A general Bayesian linear model, J. Roy. Statist. Soc. B35 (1973), 67-75

    Google Scholar 

  • Smith, P.J. (1995): A recursive formulation of the old problem of obtaining moments from cumulants and vice versa, J. Am. Statist. Ass. 49 (1995), 217-218

    Google Scholar 

  • Smith, T. and S.D. Peddada (1998): Analysis of fixed effects linear models under heteroscedastic errors, Statistics & Probability Letters 37 (1998), 399-408

    Google Scholar 

  • Smyth, G.K. (1989): Generalized linear models with varying dispersion, J. Roy. Statist. Soc. B51 (1989), 47-60

    Google Scholar 

  • Snedecor, G.W. and W.G. Cochran (1967): Statistical methods, 6th ed., Ames lowa State University Press 1967

    Google Scholar 

  • Sneeuw, N. and R. Bun (1996): Global spherical harmonic computation by two-dimensional Fourier methods, Journal of Geodesy 70 (1996), 224-232

    Google Scholar 

  • Solari, H.G., Natiello, M.A. and G.B. Mindlin (1996): Nonlinear dynamics, IOP, Bristol 1996

    Google Scholar 

  • Soler, T. and Hothem, L.D. (1989): Important parameters used in geodetic transformations, Journal of Surveying Engineering 115} (1989) 414-417.

    Google Scholar 

  • Soler, T. and van Gelder, B. (1991): On covariances of eigenvalues and eigenvectors of second rank symmetric tensors, Geophys. J. Int., 105, 537-546

    Google Scholar 

  • Solm, B.Y. and Kim, G.B. (1997): Detection of outliers in weighted least squares regression. Korean J. Comput. Appl. Math. 4, 2 (1997), 441-452.

    Google Scholar 

  • Solomon, P.J. (1985): Transformations for components of variance and covariance, Biometrica 72 (1985), 233-239

    Google Scholar 

  • Somogyi, J. (1998): The robust estimation of the 2D-projective transformation, Acta Geod. Geoph. Hung. 33 (1998), 279-288

    Google Scholar 

  • Song, S.H. (1999): A note on S2 in a linear regression model based on two-stage sampling data, Statistics & Probability Letters 43 (1999), 131-135

    Google Scholar 

  • Soper, H.E. (1916): On the distributions of the correlation coefficient in small samples, Biometrika 11 (1916), 328-413

    Google Scholar 

  • Soper, H.E., Young, A.W., Cave, B.M., Lee, A. and Pearsom, K. (1955) Biometrika 11 (1955) 328–415

    Google Scholar 

  • Spanos, A. (1999): Probability theory and statistical inference, Cambridge University Press, Cambridge 1999

    Google Scholar 

  • Späth, H. and G.A. Watson (1987): On orthogonal linear l1 approximation, Numerische Mathematik 51 (1987), 531-543

    Google Scholar 

  • Spilker, J.J. (1996): Tropospheric Effects on GPS. In: Parkinson, B.W., Spilker, J.J. (eds) Global Positioning System: Theory and Applications, Volume 1, American Institute of Aeronautics and Astronautics, Washington DC, pp 517-546

    Google Scholar 

  • Spivak, M. (1979): Differential Geometry I-V. Publish or Perish Inc., Berkeley.

    Google Scholar 

  • Spöck, G. (1997): Die geostatistische Berucksichtigung von a-priori Kenntnissen uber die Trendfunktion und die Kovarianzfunktion aus Bayesscher, Minimax und Spektraler Sicht, master thesis, University of Klagenfurt

    Google Scholar 

  • Spöck, G. (2008): Non-stationary spatial modeling using harmonic analysis. In: Ortiz, J.M., Emery, X. (ed) Proceedings of the eighth international geostatistics congress. Gecamin, Chile, pp. 389-398

    Google Scholar 

  • Spöck, G. and J. Pilz (2008): Non-spatial modeling using harmonic analysis, VIII Int. Geostatistics congress, pp. 1-10, Santiago, 2008

    Google Scholar 

  • Spöck, G. and J. Pilz (2009): Spatial modelling and design covariance- robust minimax prediction based on convex design ideas, Stoch. Environ. Res. Risk Assess (2009) 1-21

    Google Scholar 

  • Sposito, V.A. (1982): On unbiased Lp regression. J. Am. Statist. Ass. 77 (1982), 652-653

    Google Scholar 

  • Sprent, P. and N.C. Smeeton (1989): Applied nonparametric statistical methods, Chapman and Hall, Boca Raton, Florida 1989

    Google Scholar 

  • Sprinsky, W.H. (1974): The design of special purpose horizontal geodetic control networks. Ph.D. thesis, Tha Ohio State Univ., Columbus.

    Google Scholar 

  • Sprott, D.A. (1978): Gauss’s contributions to statistics, Historia Mathematica 5 (1978), 183-203

    Google Scholar 

  • Srivastava, A.K., Dube, M. and V. Singh (1996): Ordinary least squares and Stein-rule predictions in regression models under inclusion of some superuous variables, Statistical Papers 37 (1996), 253-265

    Google Scholar 

  • Srivastava, A.K. and Shalabh, S. (1996): Efficiency properties of least squares and Stein-Rule predictions in linear regression models, J. Appl. Stat. Science 4 (1996), 141-145

    Google Scholar 

  • Srivastava, A.K. and Shalabh, S. (1997): A new property of Stein procedure in measurement error model, Statistics & Probability Letters 32 (1997), 231-234

    Google Scholar 

  • Srivastava, M.S. and D. von Rosen (1998): Outliers in multivariate regression models, J. Multivar. Anal. 65 (1998), 195-208

    Google Scholar 

  • Srivastava, M.S., Rosen von, D. (2002): Regression models with unknown singular covariance matrix. Linear Algebra Appl. 354, 1-3 (2002), 255-273.

    Google Scholar 

  • Srivastava, V.K. and Upadhyaha, S. (1975): Small-disturbance and large sample approximations in mixed regression estimation, Eastern Economic Journal, 2 (1975), pp. 261-265

    Google Scholar 

  • Srivastava, V.K. and B. Rah (1979): The Existence of the Mean of the Estimator in Seemingly, Communication in Statistics-Theory and Methods, A8(7)(1979), pp. 713-717

    Google Scholar 

  • Srivastava, V.K. and Maekawa, K. (1995): Efficiency properties of feasible generalized least squares estimators in SURE models under non-normal disturbances, J. Econometrics 66, pp. 99-121 (1995)

    Google Scholar 

  • Stahlecker, P. and K. Schmidt (1996): Biased estimation and hypothesis testing in linear regression, Acta Applicandae Mathematicae 43 (1996), 145-151

    Google Scholar 

  • Stahlecker, P., Knautz, H. and G. Trenkler (1996): Minimax adjustment technique in a parameter restricted linear model, Acta Applicandae Mathematicae 43 (1996), 139-144

    Google Scholar 

  • Stam, A.J. (1982): Limit theorems for uniform distributions on spheres in high dimensional Euclidean spaces, J. Appl. Prob. 19 (1982), 221-229

    Google Scholar 

  • Stark, E. and Mikhail, E. (1973): Least Squares and Non-Linear Functions. Photogrammetric Engineering, Vol. XXXIX, No.4, 405-412.

    Google Scholar 

  • Stark, H. (ed) (1987): Image recovery: theory and application. Academic, New York

    Google Scholar 

  • Staudte, R.G. and Sheather, S.J. (1990): In Robust Estimation and Testing. John Wiley & Sons: USA, 1990.

    Google Scholar 

  • Steeb, W.H. (1991): Kronecker product of matrices and applications, B.J. Wissenschaftsverlag 1991

    Google Scholar 

  • Steele, B.M.: A modified EM algorithm for estimation in generalized mixed models

    Google Scholar 

  • Stefanski, L.A. (1989): Unbiased estimation of a nonlinear function of a normal mean with application to measurement error models, Communications Statist. Theory Method. 18 (1989), 4335-4358

    Google Scholar 

  • Stefansky, W. (1971): Rejecting outliers by maximum normal residual, Ann. Math. Statistics 42 (1971), 35-45

    Google Scholar 

  • Stein, C. (1945): A two-sample test for a linear hypothesis whose power is independent of the variance, Ann. Math. Statistics 16 (1945), 243-258

    Google Scholar 

  • Stein, C. (1950): Unbiased estimates with minimum variance, Ann. Math. Statist. 21 (1950), 406-415

    Google Scholar 

  • Stein, C. (1959): An example of wide discrepancy between fiducial and confidence intervals, Ann. Math. Statist. 30 (1959), 877-880

    Google Scholar 

  • Stein, C. (1964): Inadmissibility of the usual estimator for the variance of a normal distribution with unknown mean, Ann. Inst. Statist. Math. 16 (1964), 155-160

    Google Scholar 

  • Stein, C. and A. Wald (1947): Sequential confidence intervals for the mean of a normal distribution with known variance, Ann. Math. Statist. 18 (1947), 427-433

    Google Scholar 

  • Stein, M.L. (1999): Interpolation of spatial data: some theory for kriging. Springer, New York

    Google Scholar 

  • Steinberg, G. (1994): A Kinematic Approach in the Analysis of Kfar Hnassi Network. Perelmuter Workshop on Dynamic Deformation Models, Haifa, Israel.

    Google Scholar 

  • Steiner, F. and B. Hajagos (1999): A more sophisticated definition of the sample median, Acta Geod. Geoph. Hung. 34 (1999), 59-64

    Google Scholar 

  • Steiner, F. and B. Hajagos (1999): Insufficiency of asymptotic results demonstrated on statistical efficiencies of the L1Norm calculated for some types of the supermodel fp(x), Acta Geod. Geoph.Hung. 34 (1999), 65-69

    Google Scholar 

  • Steiner, F. and B. Hajagos (1999): Error characteristics of MAD-S (of sample medians) in case of small samples for some parent distribution types chosen from the supermodels fp(x) and fa(x), Acta Geod. Geoph. Hung. 34 (1999), 87-100

    Google Scholar 

  • Steinmetz, V. (1973): Regressionsmodelle mit stochastischen Koeffizienten, Proc. Oper. Res. 2, DGOR Ann. Meet., Hamburg 1973, 95-104

    Google Scholar 

  • Stenger, H. (1971): Stichprobentheorie, Physica-Verlag, Würzburg 1971

    Google Scholar 

  • Stephens, M.A. (1963): Random walk on a circle, Biometrika 50 (1963), 385-390

    Google Scholar 

  • Stephens, M.A. (1964): The testing of unit vectors for randomness, J. Amer. Statist. Soc. 59 (1964), 160-167

    Google Scholar 

  • Stephens, M.A. (1969): Tests for randomness of directions against two circular alternatives, J. Am. Statist. Ass. 64 (1969), 280-289

    Google Scholar 

  • Stephens, M.A. (1969): Test for the von Mises distribution, Biometrika 56 (1969), 149-160

    Google Scholar 

  • Stephens, M.A. (1979): Vector correlations, Biometrika 66 (1979), 41-88

    Google Scholar 

  • Stepniak, C. (1985): Ordering of nonnegative definite matrices with application to comparison of linear models, Linear Algebra And Its Applications 70 (1985), 67-71

    Google Scholar 

  • Stewart, G.W. (1995): Gauss, statistics, and Gaussian elimination, Journal of Computational and Graphical Statistics 4 (1995), 1-11

    Google Scholar 

  • Stewart, G.W. (1995): Afterword, in Translation: Theoria Combinationis Observationum Erroribus Minimis Obnoxiae, pars prior-pars posterior-supplementum by Carl Friedrich Gauss Theory of the Combination of Observations Least Subject to Errors, Classics in Applied Mathematics, SIAM edition, 205-236, Philadelphia 1995

    Google Scholar 

  • Stewart, G.W. (1977): On the perturbation of pseudo-inverses, projections and linear least squares, SIAM Review 19 (1977), 634-663

    Google Scholar 

  • Stewart, G.W. (1992): An updating algorithm for subspace tracking, IEEE Trans. Signal Proc. 40 (1992), 1535-1541

    Google Scholar 

  • Stewart, G.W. (1998): Matrix algorithms, Vol. 1: Basic decompositions, SIAM, Philadelphia 1998

    Google Scholar 

  • Stewart, G.W. (1999): The QLP approximation to the singular value decomposition, SIAM J. Sci. Comput. 20 (1999), 1136-1348

    Google Scholar 

  • Stewart, G.W. (2001): Matrix algorithms, Vol. 2: Eigen systems, SIAM, Philadelphia 2001

    Google Scholar 

  • Stewart, G.W. and Sun Ji-Guang (1990): Matrix perturbation theory, Academic Press, New York London 1990

    Google Scholar 

  • Stewart, K.G. (1997): Exact testing in multivariate regression, Econometric reviews 16 (1997), 321-352

    Google Scholar 

  • Steyn, H.S. (1951): The Wishart distribution derived by solving simultaneous linear differential equations, Biometrika, 38, 470-472

    Google Scholar 

  • Stigler, S.M. (1973): Laplace, Fisher, and the discovery of the concept of sufficiency, Biometrika 60 (1973), 439-445

    Google Scholar 

  • Stigler, S.M. (1973): Simon Newcomb, Percy Daniell, and the history of robust estimation 1885-1920, J. Am. Statist. Ass. 68 (1973), 872-879

    Google Scholar 

  • Stigler, S.M. (1977): An attack on Gauss, published by Legendre in 1820, Historia Mathematica 4 (1977), 31-35

    Google Scholar 

  • Stigler, S.M. (1986): The history of statistics, the measurement of uncertainty before 1900, Belknap Press, Harvard University Press, Cambridge/Mass. 1986

    Google Scholar 

  • Stigler, S.M. (1999): Statistics on the table, the history of statistical concepts and methods, Harvard University Press, Cambridge London 1999

    Google Scholar 

  • Stigler, S.M. (2000): International statistics at the millennium: progressing or regressing, International Statistical Review 68 (2000), 2, 111-121

    Google Scholar 

  • Stone, M. (1974): Cross-validatory choice and assessment of statistical predictions. J R Statist Soc B 36:111-133

    Google Scholar 

  • Stopar, B. (1999): Design of horizontal GPS net regarding non-uniform precision of GPS baseline vector components, Bollettino di Geodesia e Scienze Affini 58 (1999), 255-272

    Google Scholar 

  • Stopar, B. (2001): Second order design of horizontal GPS net, Survey Review 36 (2001), 44-53

    Google Scholar 

  • Storm, R. (1967): Wahrscheinlichkeitsrechnung, mathematische Statistik und statistische Qualitätskontrolle, Leipzig 1967

    Google Scholar 

  • Stotskii, A.A. and Elgerad, K.G., Stoskaya, J.M. (1998): Structure analysis of path delay variations in the neutral atmosphere, Astr. Astrophys. Transact. 17 (1998) 59-68

    Google Scholar 

  • Stoyan, D. and Stoyan, H. (1994): Fractals, Random Shapes and Point Fields, Chichester: John Wiley & Sons, 1994

    Google Scholar 

  • Stoyanov, J. (1997): Regularly perturbed stochastic differential systems with an internal random noise, Nonlinear Analysis, Theory, Methods & Applications 30 (1997), 4105-4111

    Google Scholar 

  • Stoyanov, J. (1998): Global dependency measure for sets of random elements: The Italian problem and some consequences, in: Ioannis Karatzas et al. (eds.), Stochastic process and related topics in memory of Stamatis Cambanis 1943-1995, Birkhäuser-Verlag, Basel Boston Berlin 1998

    Google Scholar 

  • Strang, G. and Borre, K. (1997): Linear Algebra, Geodesy and GPS, Wellesley Cambridge Press, Wellesley 1997.

    Google Scholar 

  • Strubecker, K. (1964): Differentialgeometrie I-III. Sammlung Goschen, Berlin.

    Google Scholar 

  • Stuelpnagel, J. (1964): On the parametrization of the three-dimensional rotation group. SIAM Review, Vol. 6, No.4, 422-430.

    Google Scholar 

  • Sturmfels, B. (1994): Multigraded resultant of Sylvester type, Journal of Algebra 163} (1994) 115-127.

    Google Scholar 

  • Sturmfels, B. (1996): Gröbner bases and convex polytopes, American Mathematical Society, Providence 1996.

    Google Scholar 

  • Sturmfels, B. (1998): Introduction to resultants, Proceedings of Symposia in Applied Mathematics 53} (1998) 25-39.

    Google Scholar 

  • Stoyanov, J. (1999): Inverse Gaussian distribution and the moment problem, J. Appl. Statist. Science 9 (1999), 61-71

    Google Scholar 

  • Stoyanov, J. (2000): Krein condition inprobabilistic moment problems, Bernoulli 6 (2000), 939-949

    Google Scholar 

  • Srecok, A.J. (1968): On the calculation of the inverse of the error function, Math. Computation 22 (1968), 144-158

    Google Scholar 

  • Ströbel, D. (1997): Die Anwendung der Ausgleichungsrechnung auf elastomechanische Systeme, Deutsche Geodätische Kommission, Bayerische Akademie der Wissenschaften, Report C478, München 1997

    Google Scholar 

  • Stroud, A.H. (1966): Gaussian quadrature formulas, Prentice Hall, Englewood Cliffs, N.J. 1966

    Google Scholar 

  • Stuart, A. and J.K. Ord (1994): Kendall’s advanced theory of statistics: volume I, distribution theory, Arnold Publ., 6th edition, London 1997

    Google Scholar 

  • Student: The probable error of a mean, Biometrika 6 (1908), 1-25

    Google Scholar 

  • Stulajter, F. (1978): Nonlinear estimators of polynomials in mean values of a Gaussian stochastic process, Kybernetika 14 (1978), 206-220

    Google Scholar 

  • Styan, G.P.H. (1973): Hadamard products and multivariate statistical analysis, Linear Algebra Appl., 6 (1973), pp. 217-240

    Google Scholar 

  • Styan, G.P.H. (1983): Generalised inverses in: Encyclopedia of statistical sciences, Vol. 3, S. Kotz, N.L. Johnson and C.B. Read (eds.), pp. 334-337, wiley, New York, 1983

    Google Scholar 

  • Styan, G.P.H. (1985): Schur complements and statistics, in: Proc. First International Tampere Seminar on Linear Statistical Models, T. Pukkila and S. Puntaten (eds.), pp. 37-75, Dept, of Math. Sciences, Univ. of Tampere, Finland, 1985

    Google Scholar 

  • Subrahamanyan, M. (1972): A property of simple least squares estimates, Sankhya B34 (1972), 355-356

    Google Scholar 

  • Sugaria, N. and Y. Fujikoshi (1969): Asymptotic expansions of the non-null distributions of the likelihood ratio criteria for multivariate linear hypothesis and independence, Ann. Math. Stat. 40 (1969), 942-952

    Google Scholar 

  • Sun, J.-G. (2000): Condition number and backward error for the generalized singular value decomposition, Siam J. Matrix Anal. Appl. 22 (2000), 323-341

    Google Scholar 

  • Sun, W. (1994): A New Method for Localization of Gross Errors. Surv. Rev. 1994, 32, 344-358.

    Google Scholar 

  • Sun, Z. and Zhao, W. (1995): An algorithm on solving least squares solution of rank-defective linear regression equations with constraints. Numer. Math., Nanjing 17, 3 (1995), 252-257.

    Google Scholar 

  • Sünkel, H. (1984): Fourier analysis of geodetic networks. Erice Lecture Notes, this volume, Heidelberg.

    Google Scholar 

  • Sünkel, H. (1999): Ein nicht-iteratives Verfahren zur Transformation geodätischer Koordinaten, Öster. Zeitschrift für Vermessungswesen 64} (1999) 29-33.

    Google Scholar 

  • Svendsen, J.G.G. (2005): Some properties of decorrelation techniques in the ambiguity space. GPS Solutions. doi:10.1007/s10291-005-0004-6

    Google Scholar 

  • Swallow, W.H. and S.R. Searle (1978): Minimum variance quadratic unbiased estimation (MIVQUE) of variance components, Technometrics 20 (1978), 265-272

    Google Scholar 

  • Swamy, P.A.V.B. (1971): Statistical inference in random coefficient regression models, Springer-Verlag, Heidelberg Berlin New York 1971

    Google Scholar 

  • Swamy, P.A.V.B. and J.A. Mehta (1969): On Theil’s mixed regression estimators, J. Americ. Stst. Assoc., 64 (1969), pp. 273-276

    Google Scholar 

  • Swamy, P.A.V.B. and J.A. Mehta (1977): A note on minimum average risks estimators for coefficients in linear models, Communications in Stat., Part A -Theory and Methods, 6 (1977), pp. 1181-1186

    Google Scholar 

  • Sylvester, J.J. (1850): Additions to the articles, On a new class of theorems, and On Pascal’s theorem, Phil. Mag. 37 (1850), 363-370

    Google Scholar 

  • Sylvester, J.J. (1851): On the relation between the minor determinants of linearly equivalent quadratic functions, Phil. Mag. 14 (1851), 295-305

    Google Scholar 

  • Szabados, T. (1996): An elementary introduction to the Wiener process and stochastic integrals, Studia Scientiarum Mathematicarum Hungarica 31 (1996), 249-297

    Google Scholar 

  • Szasz, D. (1996): Boltzmann’s ergodic hypothesis, a conjecture for centuries?, Studia Scientiarum Mathematicarum Hungarica 31 (1996), 299-322

    Google Scholar 

  • Takos, I. (1999): Adjustment of observation equations without full rank, Bolletino di Geodesia e Scienze Affini 58 (1999), 195-208

    Google Scholar 

  • Tanana, V.P. (1997): Methods for solving operator equations, VSP, Utrecht, Netherlands 1997

    Google Scholar 

  • Tanizaki, H. (1993): Nonlinear filters - estimation and applications, Springer-Verlag, Heidelberg Berlin New York 1993

    Google Scholar 

  • Tanner, A. (1996): Tools for statistical inference, 3rd ed., Springer-Verlag, Heidelberg Berlin New York 1996

    Google Scholar 

  • Tarpey, T. (2000): A note on the prediction sum of squares statistic for restricted least squares, The American Statistician 54 (2000), 116-118

    Google Scholar 

  • Tarpey, T. and B. Flury (1996): Self-consistency, a fundamental concept in statistics, Statistical Science 11 (1996), 229-243

    Google Scholar 

  • Tasche, D. (2003): Unbiasedness in least quantile regression, in: R. Dutter, P. Filzmoser, U. Gather, P.J. Rousseeuw (eds.), Developments in Robust Statistics, 377-386, Physica Verlag, Heidelberg 2003

    Google Scholar 

  • Tashiro, Y. (1977): On methods for generating uniform random points on the surface of a sphere, Ann. Inst. Statist. Math. 29 (1977), 295-300

    Google Scholar 

  • Tatarski, V.J. (1961): Wave propagation in a turbulent medium Mc Graw Hill book Comp., New York 1961

    Google Scholar 

  • Tate, R.F. (1959): Unbiased estimation functions of location and scale parameters, Ann. Math. Statist. 30 (1959), 341-366

    Google Scholar 

  • Tate, R.F. and G.W. Klett (1959): Optimal confidence intervals for the variance of a normal distribution, J. Am. Statist. Ass.. 16 (1959), 243-258

    Google Scholar 

  • Tatom, F.B. (1995): The relationship between fractional calculus and fractals. Fractals, 1995, 3, 217-229

    Google Scholar 

  • Teicher, H. (1961): Maximum likelihood characterization of distribution, Ann. Math. Statist. 32 (1961), 1214-1222

    Google Scholar 

  • Tennekes, H. and J.L. Lumley (1972): A First Course in Turbulence, MIT Press, 300 pages, Cambridge, MA

    Google Scholar 

  • Teräsvirta, T. (1981): Some results on improving the least squares estimation of linear models by mixed estimators, Scandinavian Journal of Statistics 8 (1981), pp. 33-38

    Google Scholar 

  • Teräsvirta, T. (1982): Superiority comparisons of homogeneous linear estimators. Communications in Statistics, All, pp. 1595-1601

    Google Scholar 

  • Taylor, J.R. (1982): An introduction to error analysis, University Science Books, Sausalito 1982

    Google Scholar 

  • Taylor, G.I. (1935): Statistical theory of turbulence. Proc. Roy. Soc. A 151, pp. 421-478.

    Google Scholar 

  • Taylor, G.I. (1938): The spectrum of turbulence. Proceedings Royal Society of London A 164, pp. 476-490.

    Google Scholar 

  • Taylor, G.I. (1938): Production and dissipation of vorticity in a turbulent fluid. Proceedings Royal Society of London A164, pp. 15-23.

    Google Scholar 

  • Tesafikova, E. and Kubacek, L. (2003): Estimators of dispersion in models with constraints (demoprogram). Department of Algebra and Geometry, Faculty of Science, Palacky University, Olomouc, 2003.

    Google Scholar 

  • Tesafikova, E. and Kubacek, L. (2004): A test in nonlinear regression models. Demo program. Department of Algebra and Geometry, Faculty of Science, Palacky University, Olomouc, 2004 (in Czech).

    Google Scholar 

  • Tesafikova, E. and Kubacek, L. (2005): Variance components and nonlinearity. Demoprogram. Department of Algebra and Geometry, Faculty of Science, Palacky University, Olomouc, 2005.

    Google Scholar 

  • Teunissen, P.J.G. (1985a): The geometry of geodetic inverse linear mapping and non-linear adjustment, Netherlands Geodetic Commission, Publications on Geodesy, New Series, Vol. 8/1, Delft 1985

    Google Scholar 

  • Teunissen, P.J.G. (1985b): Zero order design: generalized inverses, adjustment, the datum problem and S-transformations, In: Optimization and design of geodetic networks, Grafarend, E.W. and F. Sanso eds., Springer-Verlag, Heidelberg Berlin New York 1985

    Google Scholar 

  • Teunissen, P.J.G. (1987): The 1 and 2D Symmetric Helmert Transformation: Exact Non-linear Least-Squares Solutions. Reports of the Department of Geodesy, Section Mathematical and Physical Geodesy, No. 87.1, Delft

    Google Scholar 

  • Teunissen, P.J.G. (1989a): Nonlinear inversion of geodetic and geophysical data: diagnosing nonlinearity, In: Brunner, F.K. and C. Rizos (eds.): Developments in four-dimensional geodesy, Lecture Notes in Earth Sciences 29 (1989), 241-264

    Google Scholar 

  • Teunissen, P.J.G. (1989b): First and second moments of non-linear least-squares estimators, Bull. Geod. 63 (1989), 253-262

    Google Scholar 

  • Teunissen, P.J.G. (1990): Non-linear least-squares estimators, Manuscripta Geodaetica 15 (1990), 137-150

    Google Scholar 

  • Teunissen, P.J.G. (1991): Circular Letter to all Special Study Group 4.120 Members, 24.01.1991, nicht ver6:ffentlicht.

    Google Scholar 

  • Teunissen, P.J.G. (1993): Least-squares estimation of the integer GPS ambiguities, LGR series, No. 6, Delft Geodetic Computing Centre, Delft 1993

    Google Scholar 

  • Teunissen, P.J.G. (1995a): The invertible GPS ambiguity transformation, Manuscripta Geodaetica 20 (1995), 489-497

    Google Scholar 

  • Teunissen, P.J.G. (1995b): The least-squares ambiguity decorrelation adjustment: a method for fast GPS integer ambiguity estimation, Journal of Geodesy 70 (1995), 65-82

    Google Scholar 

  • Teunissen, P.J.G. (1997): A canonical theory for short GPS baselines. Part I: The baseline precision, Journal of Geodesy 71 (1997), 320-336

    Google Scholar 

  • Teunissen, P.J.G. (1997): On the sensitivity of the location, size and shape of the GPS ambiguity search space to certain changes in the stochastic model, Journal of Geodesy 71 (1997), 541-551

    Google Scholar 

  • Teunissen, P.J.G. (1997): On the GPS widelane and its decorrelating property, Journal of Geodesy 71 (1997), 577-587

    Google Scholar 

  • Teunissen, P.J.G. (1997): The least-squares ambiguity decorrelation adjustment: its performance on short GPS baselines and short observation spans, Journal of Geodesy 71 (1997), 589-602

    Google Scholar 

  • Teunissen, P.J.G. (1998): Quality Control and GPS. In: Teunissen PJG, KIeusberg A(eds) GPSfor Geodesy, 2nd ed, Springer Verlag, Berlin, Hedilberg, pp. 271-318

    Google Scholar 

  • Teunissen, P. (1998b): First and second moments of non-linear least-quares estimations, Bull. Geod. 63 (1989) 253-262

    Google Scholar 

  • Teunissen, P.J.G. (1999a): The probability distribution of the GPS baseline for a class of integer ambiguity estimators. J Geod 73: 275-284

    Google Scholar 

  • Teunissen, P.J.G. (1999b): An optimality property of the integer leastsquares estimator. J. Geod. 73:587-593

    Google Scholar 

  • Teunissen, P.J.G. (2003): Theory of integer equivariant estimation with application to GNSS. J. Geod. 77:402-410

    Google Scholar 

  • Teunissen, P.J.G. and Knickmeyer, E.H. (1988): Non-linearity and least squares, CISM Journal ASCGC 42} (1988) 321-330.

    Google Scholar 

  • Teunissen, P.J.G. and Kleusberg, A. (1998): GPS for geodesy, 2nd enlarged edition. Springer, Heidelberg

    Google Scholar 

  • Teunissen, P.J.G., Simons, D.G., and Tiberius, C.C.J.M. (2005): Probability and observation theory. Lecture Notes Delft University of Technology, 364 p

    Google Scholar 

  • Teunissen, P.J.G. and A.R. Amiri-Simkooei (2008): Least-squares variance component estimation, Journal of Geodesy, 82 (2008): 65-82.

    Google Scholar 

  • Teunissen, P.J.G. (2008):On a stronger-than-best property for best prediction, J. Geodesy 82 (2008) 165-175

    Google Scholar 

  • Theil, H. (1963): On the use of incomplete prior information in regression analysis, J,. Amer. Stat. Assoc., 58 (1963), pp. 401-414

    Google Scholar 

  • Theil, H. (1965): The analysis of disturbances in regression analysis, J. Am. Statist. Ass. 60 (1965), 1067-1079

    Google Scholar 

  • Theil, H. (1971): Principles of econometrics, Wiley, New York 1971

    Google Scholar 

  • Theil, H. and A.S. Goldberger (1961): On Pure and Mixed Statistical Estimation in Economics, International Economic Review, Vol. 2, 1961, p. 65

    Google Scholar 

  • Theobald, C.M. (1974): Generalizations of Mean Square Error Applied to Ridge Regression, Journal of the Royal Statistical Society 36 (series B): 103-106.

    Google Scholar 

  • Thompson, R. (1969). Iterative estimation of variance components for non-orthogonal data, Biometrics 25 (1969), 767-773

    Google Scholar 

  • Thompson, W.A. (1955): The ratio of variances in variance components model, Ann. Math. Statist. 26 (1955), 325-329

    Google Scholar 

  • Thompson, E. H. (1959a): A method for the construction of orthogonal matrices, Photogrammetria III} (1959) 55-59.

    Google Scholar 

  • Thompson, E. H. (1959b): An exact linear solution of the absolute orientation. Photogrammetria XV} (1959) 163-179.

    Google Scholar 

  • Thomson, D.J. (1982): Spectrum estimation and harmonic analysis, Proceedings Of The IEEE 70 (1982), 1055-1096

    Google Scholar 

  • Thorand, V. (1990): Algorithmen zur automatischen Berechnung von Naherungskoordinaten in geodätischen Lagenetzen. Vermessungstechnik, 4, 120-124.

    Google Scholar 

  • Thorpe, J.A. (1979): Elementary Topics in Differential Geometry. Springer-Verlag, New York.

    Google Scholar 

  • Tychonoff, A.N. (1963): Solution of incorrectly formulated problems and regularization method, Dokl. Akad. Nauk. SSSR, 151 (1963), pp. 501-504

    Google Scholar 

  • Tiberius, C.C.J.M., de Jonge, P.J. (1995): Fast positioning using the LAMBDA method. In: Proceedings DSNS-95, paper 30, 8 p

    Google Scholar 

  • Tiberius, C.C.J.M., Teunissen, P.J.G. and de Jonge, P.J. (1997): Kinematic GPS: performance and quality control. In: Proceedings KIS97, pp. 289-299

    Google Scholar 

  • Tiberius, C.C.J.M., Jonkman, N. and F. Kenselaar (1999): The Stochastics of GPS Observables. GPS World 10: 49-54

    Google Scholar 

  • Tiberius, C.C.J.M. and F. Kenselaar (2000): Estimation of the stochastic model for GPS code and phase observables, Survey Review 35 (2000), 441-455

    Google Scholar 

  • Tiberius, C.C.J.M. and F. Kenselaar (2003): Variance Component Estimation and Precise GPS Positioning: Case study, Journal of surveying engineering, 129(1): 11-18, 2003.

    Google Scholar 

  • Tikhonov, A.N. (1963): Solution of incorrectly formulated problems arid regularization method. Dokl. Akad. Nauk. SSSR, 1 51, 501-504.

    Google Scholar 

  • Tikhonov, A.N. and V.Y. Arsenin (1977): Solutions of ill-posed problems, J. Wiley, New York 1977

    Google Scholar 

  • Tikhonov, A.N., Leonov, A.S. and A.G. Yagola (1998): Nonlinear ill-posed problems, Vol. 1, Appl. Math. and Math. Comput. 14, Chapman & Hall, London 1998

    Google Scholar 

  • Tjöstheim, D. (1990): Non-linear time series and Markov chains, Adv. Appl. Prob. 22 (1990), 587-611

    Google Scholar 

  • Tjur, T. (1998): Nonlinear regression, quasi likelihood, and overdispersion in generalized linear models, American Statistician 52 (1998), 222-227

    Google Scholar 

  • Tobias, P.A. and D.C. Trinidade (1995): Applied reliability, Chapman and Hall, Boca Raton 1995

    Google Scholar 

  • Tominaga, Y. and I. Fujiwara (1997): Prediction-weighted partial least-squares regression (PWPLS), Chemometrics and Intelligent Lab Systems 38 (1997), 139-144

    Google Scholar 

  • Tong, H. (1990): Non-linear time series, Oxford University Press, Oxford 1990

    Google Scholar 

  • Toranzos F.I. (1952): An asymmetric bell-shaped frequency curve, Ann. Math. Statist. 23 (1952), 467-469

    Google Scholar 

  • Torge, W. and Wenzel, H.G. (1978): Dreidimensionale Ausgleichung des Testnetzes Westharz.Deutsche Geodattsche Kommission, Bayerische Akademie der Wissenschaften Report B234, München.

    Google Scholar 

  • Torge, W. (2001): Geodesy, 3rd edn. Walter de Gruyter, Berlin

    Google Scholar 

  • Toro-Vizearrondo, C. and T.D. Wallace (1969): A Test of the Mean Square Error Criterion for Restrictions in Linear Regression, Journal of the American Stst. Assoc., 63 (1969), pp. 558-572

    Google Scholar 

  • Toutenburg, H. (1968): Vorhersage im allgemeinen linearen Regressionsmodell mit Zusatzinformation über die Koeffzienten, Operationsforschung Maths Statistik, Vol. 1, pp. 107-120, Akademic Verlag, Berlin 1968

    Google Scholar 

  • Toutenburg, H. (1970a): Vorhersage im allgemeinen linearen Regressionsmodell mit stochastischen Regressoren, Math. Operationsforschg. Statistik 2 (1970), 105-116

    Google Scholar 

  • Toutenburg, H. (1970b): Probleme linearer Vorhersagen im allgemeinen linearen Regressionsmodell, Biometrische Zeitschrift, 12: pp. 242-252

    Google Scholar 

  • Toutenburg, H. (1970c): Über die Wahl zwischen erwartungstreuen und nichterwartungstreuen Vorhersagen, Operationsforschung Mathematische Statistik, vol. 2, pp. 107-118, Akademic Verlag, Berlin 1970

    Google Scholar 

  • Toutenburg, H. (1973): Lineare Restriktionen und Modellwahl im allgemeinen linearen Regressionsmodell, Biometrische Zeitschrift, 15 (1973), pp. 325-342

    Google Scholar 

  • Toutenburg, H. (1975): Vorhersage in linearen Modellen, Akademie Verlag, Berlin 1975

    Google Scholar 

  • Toutenburg, H. (1976): Minimax-linear and MSE-linear estimators in generalized regression, Biometr. J. 18 (1976), pp. 91-104

    Google Scholar 

  • Toutenburg, H. (1982): Prior Information in Linear Models, Wiley, New York.

    Google Scholar 

  • Toutenburg, H. (1989a): Investigations on the MSE-superiority of several estimators of filter type in the dynamic linear model (i.e. Kalman model), Technical Report 89-26, Center for Multivariate Analysis, The Pennsylvania State University, State College

    Google Scholar 

  • Toutenburg, H. (1989b): Mean-square-error-comparisons between restricted least squares, mixed and weighted mixed estimators, Forschungsbericht 89/12, Fachbereich Statistik, Universitat Dortmund, Germany

    Google Scholar 

  • Toutenburg, H. (1996): Estimation of regression coefficients subject to interval constraints, Sankhya: The Indian Journal of Statistics A, 58 (1996), 273-282

    Google Scholar 

  • Toutenburg, H. and Schaffrin, B. (1989): Biased mixed estimation and related problems, Technical Report, Universitat Stuttgart, Germany

    Google Scholar 

  • Toutenburg, H. and Trenkler, G. (1990): Mean square error matrix comparisons of optimal and classical predictors and estimators in linear regression, Computational Statistics and Data Analysis 10: 297-305

    Google Scholar 

  • Toutenburg, H., Trenkler, G. and Liski, E.P. (1992): Optimal estimation methods under weakened linear restrictions, Computational Statistics and Data Analysis 14: 527-536.

    Google Scholar 

  • Toutenburg, H. and Shalabh (1996): Predictive performance of the methods of restricted and mixed regression estimators, Biometrical Journal 38: 951-959.

    Google Scholar 

  • Toutenburg, H., Fieger, A. and Heumann, C. (1999): Regression modelling with fixed effects-missing values and other problems, in C. R. Rao and G. Szekely (eds.), Statistics of the 21st Century, Dekker, New York.

    Google Scholar 

  • Townsend, A.A. (1976): The Structure of Turbulent Shear Flow, Second Edition, Cambridge University Press, 429 pages 1976

    Google Scholar 

  • Townsend, E.C. and S.R. Searle (1971): Best quadratic unbiased estimation of variance components from unbalanced data in the l-way classification, Biometrics 27 (1971), 643-657

    Google Scholar 

  • Trefethen, L.N. and D. Bau (1997): Numerical linear algebra, Society for Industrial and Applied Mathematics (SIAM), Philadelphia 1997

    Google Scholar 

  • Trenkler, G. (1985): Mean square error matrix comparisons of estimators in linear regression, Communications in Statistics, Part A-Theory and Methods 14: 2495-2509

    Google Scholar 

  • Trenkler, G. (1987): Mean square error matrix comparisons among restricted least squares estimators, Sankhya, Series A 49: 96-104

    Google Scholar 

  • Trenkler, G. and Trenkler, D. (1983): A note on superiority comparisons of linear estimators, Communications in Statistics, Part A-Theory and Methods 17: 799-808

    Google Scholar 

  • Trenkler, G. and Toutenburg, H. (1990): Mean-square error matrix comparisons between biased estimators an overview of recent results, Statistical Papers 31: 165-179

    Google Scholar 

  • Troskie, C.G. and D.O. Chalton (1996): Detection of outliers in the presence of multicollinearity, in: Multidimensional statistical analysis and theory of random matrices, Proceedings of the Sixth Lukacs Symposium, eds. Gupta, A.K. and V.L. Girko, 273-292, VSP, Utrecht 1996

    Google Scholar 

  • Troskie, C.G., Chalton, D.O. and M. Jacobs (1999): Testing for outliers and influential observations in multiple regression using restricted least squares, South African Statist. J. 33 (1999), 1-40

    Google Scholar 

  • Trujillo-Ventura, A. and Ellis, J.H. (1991): Multiobjective air pollution monitoring network design. Atmos Environ 25:469-479

    Google Scholar 

  • Tscherning, C.C. (1978): Collocation and least-squares methods as a tool for handling gravity field dependent data obtained through space research techniques. Bull Geod 52:199-212

    Google Scholar 

  • Tseng, Y.Y. (1936): The characterisitic value problem of Hermitian functional operators in a non-Hilbert space, Ph.D. Thesis, Univeristy of Chicago, Chicago 1936

    Google Scholar 

  • Tseng, Y.Y. (1949a): Sur les solutions des èquations opèratrices fonctionnelles entre les espaces enitaires, C.R. Acad. Sci. Paris, 228 (1949), pp. 640-641

    Google Scholar 

  • Tseng, Y.Y. (1949b): Generalized inverses of unbounded operators between two arbitrary spaces, Dokl. Acas. Nauk SSSR (new series) 67 (1949), pp. 431-434

    Google Scholar 

  • Tseng, Y.Y. (1949c): Properties and classification of generalized inverses of closed operators, Dokl. Acad. Nauk SSSR (new series) 67 (1949), pp. 607-610

    Google Scholar 

  • Tseng, Y.Y. (1956): Virtual solutions and general inversions, Uspehi. Mat. Nauk (new series) 11, (1956), pp. 213-215

    Google Scholar 

  • Tsimikas, J.V. and J. Ledolter (1997): Mixed model representation of state space models: New smoothing results and their application to REML estimation, Statistica Sinica 7 (1997), 973-991

    Google Scholar 

  • Tu, R. (1996): Comparison between confidence intervals of linear regression models with and without restriction. Commun. Stat., Theory Methods 28, 12 (1999), 2879-2898.

    Google Scholar 

  • Tufts, D.W. and R. Kumaresan (1982): Estimation of frequencies of multiple sinusoids: making linear prediction perform like maximum likelihood, Proc. of IEEE Special issue on Spectral estimation 70 (1982), 975-989

    Google Scholar 

  • Tukey, J.W. (9159): An introduction to the measurement of spectra, in: Grenander U.: Probability and statistics, New York

    Google Scholar 

  • Turkington, D. (2000): Generalised vec operators and the seemingly unrelated regression equations model with vector correlated disturbances, Journal of Econometrics 99 (2000), 225-253

    Google Scholar 

  • Ulrych, T.J. and R.W. Clayton (1976): Time series modelling and maximum entropy, Phys. Earth and Planetary Interiors 12 (1976), 188-200

    Google Scholar 

  • Vainikko, G.M. (1982): The discrepancy principle for a class of regularization methods, USSR. Comp. Math. Math. Phys. 22 (1982), 1-19

    Google Scholar 

  • Vainikko, G.M. (1983): The critical level of discrepancy in regularization methods, USSR. Comp. Math. Math. Phys. 23 (1983), 1-9

    Google Scholar 

  • Van Der Waerden, B.L. (1950): Modern Algebra, 3rd Edition, F. Ungar Publishing Co., New York 1950.

    Google Scholar 

  • Van Huffle, S. (1990): Solution and properties of the restricted total least squares problem, Proceedings of the International Mathematical Theory of Networks and Systems Symposium (MTNS 1989), 521-528

    Google Scholar 

  • Vanicek, P. and E.W. Grafarend (1980): On the weight estimation in leveling, National Oceanic and Atmospheric Administration, Report NOS 86, NGS 17, Rockville 1980

    Google Scholar 

  • Vanicek, P. and Krakiwsky, E.J. (1982): Geodesy: The concepts. North-Holland Publishing Company, Amsterdam-New York-Oxford 1982.

    Google Scholar 

  • Van Loa, C.F. (1978): Computing integrals involving the matrix exponential. IEEE Trans. Autom. Control AC- 23: 395-404

    Google Scholar 

  • Van Mierlo, J. (1988): Rückwärtschnitt mit Streckenverhältnissen, Algemain Vermessungs Nachrichten 95} (1988) 310-314.

    Google Scholar 

  • Van Montfort, K. (1988): Estimating in structural models with non-normal distributed variables: some alternative approaches, Leiden 1988

    Google Scholar 

  • Van Ness, J.W. (1965): Asymptotic normality of bispectral estimates, Technical report No 14, Dept. Statistics, Stanford University 1965

    Google Scholar 

  • Vasconcellos, K.L.P. and M.C. Gauss (1997): Approximate bias for multivariate nonlinear heteroscedastic regressions, Brazilian J. Probability and Statistics 11 (1997), 141-159

    Google Scholar 

  • Vasconcelos, W.V. (1998): Computational methods in commutative algebra and algebraic geometry, Springer-Verlag, Berlin-Heidelberg 1998.

    Google Scholar 

  • Ventsel, A.D. and M.I. Freidlin (1969): On small random perturbations of dynamical systems, Report delivered at the meeting of the Moscow Mathematical Society on March 25, 1969, Moscow 1969

    Google Scholar 

  • Ventzell, A.D. and M.I. Freidlin (1970): On small random perturbations of dynamical systems, Russian Math. Surveys 25 (1970), 1-55

    Google Scholar 

  • Verbeke, G. and G. Molenberghs (2000): Linear mixed models for longitudinal data, Springer-Verlag, Heidelberg Berlin New York 2000

    Google Scholar 

  • Vernik, L. and Zoback, M.D. (1992): Estimation of ma.xjmum horizontal principal stress magnitude from stress-induced well bore breakouts in the Cajon Pass scientific research borehole, J. geophys. Res., B97, 5109-5119

    Google Scholar 

  • Vernizzi, A., Goller, R. and P. Sais (1995): On the use of shrinkage estimators in filtering extraneous information, Giorn. Econ. Annal. Economia 54 (1995), 453-480

    Google Scholar 

  • Veroren, L.R. (1980): On estimation of variance components, Statistica Neerlandica 34 (1980), 83-106

    Google Scholar 

  • Vetter, M. (1992): Automatische Berechnung zweidimensionaler Naherungskoordinaten - Konzeption und Realisierung im Programm AURA (Automatische Berechnung und Revision approximativer Koordinaten). Allgemeine Vermessungs-N achrichten, 99. Jg., Heft 6, 245-255.

    Google Scholar 

  • Vichi, M. (1997): Fitting L2 norm classification models to complex data sets, Student 2 (1997), 203-213

    Google Scholar 

  • Viertl, R. (1996): Statistical Methods for Non-Precise DATA. CRC Press, Boca Raton, New York, London and Tokyo, 1996

    Google Scholar 

  • Vigneau, E., Devaux, M.F., Qannari, E.M. and P. Robert (1997): Principal component regression, ridge regression and ridge principal component regression in spectroscopy calibration, J. Chemometrics 11 (1997), 239-249

    Google Scholar 

  • Vincenty, T. (1978): Vergleich zweier Verfahren zur Berechnung der geodätischen Breite und Höhe aus rechtwinkligen koorninaten, Allgemeine Vermessungs-Nachrichten 85} (1978) 269-270.

    Google Scholar 

  • Vincenty, T. (1980): Zur räumlich-ellipsoidischen Koordinaten-Transformation, Zeitschrift für Vermessungswesen, 105} (1980) 519-521.

    Google Scholar 

  • Vinod, H.D. and L.R. Shenton (1996): Exact moments for autoregressive and random walk models for a zero or stationary initial value, Econometric Theory 12 (1996), 481-499

    Google Scholar 

  • Vinograde, B. (1950): Canonical positive definite matrices underinternal linear transformations, Proc. Amer. Math. Soc.1 (1950), 159-161

    Google Scholar 

  • Vogel, M. and Van Mierlo, J. (1994): Deformation Analysis of the Kfar-Hanassi Network. Perelmuter Workshop on Dynamic Deformation Models, Haifa, Israel.

    Google Scholar 

  • Vogler, C.A. (1904): Zeitschrift für Vermessungswesen 23 (1904), pp. 394-402

    Google Scholar 

  • Voinov, V.G. and M.S. Nikulin (1993): Unbiased estimators and their applications, volume 1: univariate case, Kluwer, Academic Publishers, Dordrecht 1993

    Google Scholar 

  • Voinov, V.G. and M.S. Nikulin (1993): Unbiased estimators and their applications, volume 2: multivariate case, Kluwer, Academic Publishers, Dordrecht 1993

    Google Scholar 

  • Volaufova, J. (1980): On the confidence region of a vector parameter. Math. Slovaca 30 (1980), 113-120.

    Google Scholar 

  • Volterra, V. (1930): Theory of functionals, Blackie, London 1930

    Google Scholar 

  • Von Mises, R. (1981): über die Ganzzahligkeit der Atomgewichte und verwandte Fragen, Phys. Z. 19 (1918), 490-500

    Google Scholar 

  • Wackernagel, H. (1995): Multivariate geostatistics. Springer, Heidelberg

    Google Scholar 

  • Wackernagel, H. (2003): Multivariate geostatistics. Springer-Verlag, Berlin, 3rd edition.

    Google Scholar 

  • Waerden Van Der, B.L. (1967): Algebra II. Springer-Verlag, Berlin.

    Google Scholar 

  • Wagner, H. (1959): Linear programming techniques for regression analysis, J. Am. Statist. Ass. 56 (1959), 206-212

    Google Scholar 

  • Wahba, G. (1975): Smoothing noisy data with spline functions, Numer. Math. 24 (1975), 282-292

    Google Scholar 

  • Wald, A. (1939): Contributions to the theory of statistical estimation and testing hypotheses, Ann. Math. Statistics 10 (1939), 299-326

    Google Scholar 

  • Wald, A. (1945): Sequential tests for statistical hypothesis, Ann. Math. Statistics 16 (1945), 117-186

    Google Scholar 

  • Walder, O. (2006): Forpflanzung der Un scharfe von Messdaten auf abgeleitete differential geometrische Grossen, PFG 6 (2006), 491-499

    Google Scholar 

  • Walder, O. (2007a): An application of the fuzzy theory in surface interpolation and surface deformation analysis, Fuzzy sets and systems 158 (2007), 1535-1545

    Google Scholar 

  • Walder, O. (2007b): On analysis and forecasting of surface movement and deformation: Some AR models and their application, Ace. Verm, Nachr., 3 (2007), 96-100

    Google Scholar 

  • Walder, O. and M. Buchroithner (2004): A method for sequential thinning of digital raster terrain models, PF G 3, (2004), 215-221

    Google Scholar 

  • Walk, H. (1967a): Randeigenschaften zufalliger P otenzreihen und eine damit zusamnlenhangende Verrillgemeirierung des Satzes von Fatou und Nevanlinna (mit K. Hinderer). Math. Ann. 172, 94-104 (1967).

    Google Scholar 

  • Walk, H. (1967b): Symmetrisierte und zentrierte Folgen von Zufallsvariablen. Math. Z. 102, 44-55 (1967).

    Google Scholar 

  • Walk, H. (1968): Über das Randverhalten zufalliger Potenzreihen. 1. reine angew. Math. 230, 66-103 (1968).

    Google Scholar 

  • Walk, H. (1969a): Approximation durch Folgen linearer positiver Operatoren. Arch. Math. 20, 398-404 (1969).

    Google Scholar 

  • Walk, H. (1969b): Wachsumsverhalten zufalliger Potenzreihen. Z. Wahrscheinlichkeitstheorie verw. Gebiete 12, 293-306 (1969)

    Google Scholar 

  • Walk, H. (1970a): Bemerkungen tiber multiplikative Systeme. Math. Ann. 186, 36-44 (1970)

    Google Scholar 

  • Walk, H. (1970b): Approximation unbeschrankter Funktionen durch lineare positive Operatoren. Habilitationsschrift, Dniv. Stuttgart, Juni 1970.

    Google Scholar 

  • Walk, H. (1972): Konvergenz- und Guteaussagen für die Approximation durch Folgen linearer positiver - Operatoren (mit M. W. Muller). Proceedings of the International Conference on Constructive Function Theory, Varna, May 1970, 221-233 (1972).

    Google Scholar 

  • Walk, H. (1973): Zufallige Potenzreihen mit multiplikativ abhangigen Koeffizienten. Buletinul Institutului Politehnic din Jasi 19 (23), 107-114 (1973).

    Google Scholar 

  • Walk, H. (1974): A generalization of renewal processes (mit K. Hinderer). European Meeting of Statisticians, Budapest 1972. Colloquia Mathematica Societatis Janos Bolyai 9, 315-318 (1974).

    Google Scholar 

  • Walk, H. (1977a): Approximation von Ableitungen unbeschrankter Funktionen durch line are Operatoren. Mathematica - Revue d’Analyse Numerique et de Theorie de l’Approximation 6, 99-105 (1977).

    Google Scholar 

  • Walk, H. (1977b): An invariance principle in stochastic approximation. Recent Developments in Statistics (eds. J. R. Barra et al.), 623-625 (1977). North Holland, Amsterdam

    Google Scholar 

  • Walk, H. (1979): Sequential estimation of the solution of an integral equation in filtering theory. In: Stochastic Control Theory and Stochastic Differential Systems (eds. M. Kohlmann, W. Vogel), 598-605. Springer-Verlag, Berlin, 1979

    Google Scholar 

  • Walk, H. (1980): A functional central limit theorem for martingales in C(K) and its application to sequential - estimates.J. reine angew. Math. 314 (1980), 117-135

    Google Scholar 

  • Walk, H. (1983): Stochastic iteration for a constrained optimization problem. Commun. Statist. - Sequential Analysis 2 (1983-84), 369-385

    Google Scholar 

  • Walk, H. (1985): On recursive estimation of the mode, Statistics and Decisions 3 (1985), 337-350.

    Google Scholar 

  • Walk, H. (1988): Limit behavior of stochastic approximation processes. Statistics and Decisions 6 (1988), 109-128.

    Google Scholar 

  • Walk, H. (1992a): Stochastic Approximation and Optimization of Random Systems (mit L. Ljung und G. Pflug) (113 S.). Birkhauser, Basel, 1992

    Google Scholar 

  • Walk, H. (1992b): Stochastic Approximation and Optimization of Random Systems (mit L. Ljung und G. Pflug) (113 S.). Birkhauser, Basel, 1992.

    Google Scholar 

  • Walk, H. (1998): Weak and strong universal consistency of semi-recursive partitioning and kernel regression estimates (mit Gyorfi L, Kohler M). Stat. Decis. 16 (1998) 1-18

    Google Scholar 

  • Walk, H. (2001): Strong universal point wise consistency of recursive regression estimates. Ann. Inst. Statist. Math. 53 (2001), 691-707.

    Google Scholar 

  • Walk, H. (2002): Almost sure convergence properties of Nadaraya-Watson regression estimates. In: Modeling Uncertainty: An Examination of its Theory, Methods and Applications (eds. M. Dror, P. L’Ecuyer, F. Szidarovszky), 201-223 (2002). Kluwer Academic Publishers, Dordrecht.

    Google Scholar 

  • Walk, H. (2003): The estimation problem of minimum mean’ squared error (mit L. Devroye, L. Gyorfi und D. Scnafer). Statistics and Decisions 21 (2003), 15-28

    Google Scholar 

  • Walk, H. (2005): Strong laws of large numbers by elementary Tauberian arguments. Monatsh. Math. 144 (2005), 329-346.

    Google Scholar 

  • Walk, H. (2006): Rates of convergence for partitioning and nearest neighbor regression estimates with unbounded data (mit M. Kohler und A. Krzyzak). 1. Multivariate Anal. 97 (2006), 311-323

    Google Scholar 

  • Walk, H. (2008a): A universal strong law of large numbers for conditional expectations via nearest neighbors. J. Multivariate Anal. 99 (2008), 1035-1050.

    Google Scholar 

  • Walk, H. (2008b): Non parametric nearest neighbor based empirical portfolio selection strategies (mit L. Gyorfi und F. Udina). Statistics and Decisions 26 (2008), 145-157.

    Google Scholar 

  • Walk, H. (2009a): Optimal global rates of convergence for nonparametric regression with unbounded data (mit M. Kohler und A. Krzyzak). 1. Statist. Planning Inference 139 (2009), 1286-1296.

    Google Scholar 

  • Walk, H. (2009b): Strong laws of large numbers and nonparametric estimation. Universitat Stuttgart, Fachbereich Mathematik, Preprint 2009-003. In: Recent Developments in Applied Probability and Statistics (eds. L. Devroye, B. Karasozen, M. Kohler, R. Korn), 183-214 (2010). Physica-Verlag, Heidelberg

    Google Scholar 

  • Walk, H. (2010): Strong consistency of kernel estimates of regression function under dependence. Statist. Probab. Letters 80 (2010), 1147-1156.

    Google Scholar 

  • Walker, J.S. (1996): Fast Fourier transforms, 2nd edition, CRC Press, Boca Raton 1996

    Google Scholar 

  • Walker, P.L. (1996): Elliptic functions, J. Wiley, New York 1996

    Google Scholar 

  • Walker, S. (1996): An EM algorithm for nonlinear random effect models, Biometrics 52 (1996), 934-944

    Google Scholar 

  • Wallace, D.L. (1980): The Behrens-Fisher and Fieller-Creasy problems, in: R.A. Fisher: an appreciation, Fienberg and Hinkley, eds, Springer-Verlag, Heidelberg Berlin New York 1980, 117-147

    Google Scholar 

  • Wan, A.T.K. (1994): The sampling performance of inequality restricted and pre-test estimators in a misspecified linear model, Austral. J. Statist. 36 (1994), 313-325

    Google Scholar 

  • Wan, A.T.K. (1994): Risk comparison of the inequality constrained least squares and other related estimators under balanced loss, Econom. Lett. 46 (1994), 203-210

    Google Scholar 

  • Wan, A.T.K. (1994): The non-optimality of interval restricted and pre-test estimators under squared error loss, Comm. Statist. A - Theory Methods 23 (1994), 2231-2252

    Google Scholar 

  • Wan, A.T. (1999): A note on almost unbiased generalized ridge regression estimator under asymmetric loss, J. Statist. Comput. Simul. 62 (1999), 411-421

    Google Scholar 

  • Wan, A.T.K. and K. Ohtani (2000): Minimum mean-squared error estimation in linear regression with an inequality constraint, J. Statist. Planning and Inference 86 (2000), 157-173

    Google Scholar 

  • Wang, C.C. (1970): A new representation theorem for isotropic functions: an answer to Professor G.F. Smith’s criticism of my papers on representations for isotropic functions. Arch. Rat. Mech. Anal 36.

    Google Scholar 

  • Wang, C.C. (1971): Corrigendum to my recent papers on “Representations for isotropic functions”, Arch. Rational Mech. Anal. 43 (1971) 392-395

    Google Scholar 

  • Wang H. and D. Suter (2003): Using Symmetry in Robust Model Fitting, Pattern Recognition Letters (PRL), Vol. 24, No.16, pp. 2953-2966

    Google Scholar 

  • Wang, J. (1996): Asymptotics of least-squares estimators for constrained nonlinear regression, Annals of Statistics 24 (1996), 1316-1326

    Google Scholar 

  • Wang, J. (1999): Stochastic Modeling for Real-Time Kinematic GPS/GLONASS Positioning. Journal of The Institute of Navigation 46: 297-305

    Google Scholar 

  • Wang, J. (2000): An approach to GLONASS ambiguity resolution, Journal of Geodesy 74 (2000), 421-430

    Google Scholar 

  • Wang, J. and Satirapod, C. and Rizos, C.(2002): Stochastic assessment of GPS carrier phase measurements for precise static relative positioning, Journal of Geodesy, 76:95-104, 2002.

    Google Scholar 

  • Wang, M. C. and G.E. Uhlenbeck (1945): On the theory of the Brownian motion II, Review of Modern Physics 17 (1945), 323-342

    Google Scholar 

  • Wang, N., Lin, X. and R.G. Guttierrez (1998): Bias analysis and SIMEX approach in generalized linear mixed measurement error models, J. Amer. Statist. Ass., 93, (1998), 249-261

    Google Scholar 

  • Wang, N., Lin, X. and R.G. Guttierrez (1999): A bias correction regression calibration approach in generalized linear mixed measurement error models, Commun.Statist. Theory Meth. 28 (1999), 217-232

    Google Scholar 

  • Wang, Q-H. and B-Y. Jing (1999): Empirical likelihood for partial linear models with fixed designs, Statistics & Probability Letters 41 (1999), 425-433

    Google Scholar 

  • Wang, S. and Uhlenbeck, G.I. (1945): On the theory of the Brownian motion II, Rev. Modern Phys. 17 (1945), 323-342

    Google Scholar 

  • Wang, S.G. and Chow, S.C. (1993): Advanced linear models. Theory and applications. Marcel Dekker, Inc., New York, 1993.

    Google Scholar 

  • Wang, S.G. and Ma, W.Q. (2002): On exact tests of linear hypothesis in linear models with nested error structure. J. Stat. Plann. Inference 106, 1-2 (2002), 225-233.

    Google Scholar 

  • Wang, T. (1996): Cochran Theorems for multivariate components of variance models, Sankhya: The Indian Journal of Statistics A, 58 (1996), 238-342

    Google Scholar 

  • Ward, P. (1996): GPS Satellite Signal Characteristics. In: Kaplan, E.D. (ed.): Understanding GPS-Principles and Applications. Artech House Publishers, BostonILondon, 1996

    Google Scholar 

  • Wassel, S.R. (2002): Rediscovering a family of means, Mathematical Intelligencer 24 (2002), 58-65

    Google Scholar 

  • Waterhouse, W.C. (1990): Gauss’s first argument for least squares, Archive for the History of Exact Sciences 41 (1990), 41-52

    Google Scholar 

  • Watson, G.S. (1983): Statistics on spheres, J. Wiley, New York 1983

    Google Scholar 

  • Watson, G.S. (1956): Analysis of dispersion on a sphere, Monthly Notices of the Royal Astronomical Society, Geophysical Supplement 7 (1956), 153-159

    Google Scholar 

  • Watson, G.S. (1956): A test for randomness of directions, Monthly Notices of the Royal Astronomical Society Geophysical Supplement 7 (1956), 160-161

    Google Scholar 

  • Watson, G.S. (1960): More significance tests on the sphere, Biometrika 47 (1960), 87-91

    Google Scholar 

  • Watson, G.S. (1961): Goodness-of-fit tests on a circle, Biometrika 48 (1961), 109-114

    Google Scholar 

  • Watson, G.S. (1962): Goodness-of-fit tests on a circle-II, Biometrika 49 (1962), 57-63

    Google Scholar 

  • Watson, G.S. (1964): Smooth regression analysis, Sankhya: The Indian Journal of Statistics: Series A (1964), 359-372

    Google Scholar 

  • Watson, G.S. (1965): Equatorial distributions on a sphere, Biometrika 52 (1965), 193-201

    Google Scholar 

  • Watson, G.S. (1966): Statistics of orientation data, Jour. of Geology 74 (1966), 786-797

    Google Scholar 

  • Watson, G.S. (1967): Another test for the uniformity of a circular distribution, Biometrika 54 (1967), 675-677

    Google Scholar 

  • Watson, G.S. (1967): Some problems in the statistics of directions, Bull. of I.S.I. 42 (1967), 374-385

    Google Scholar 

  • Watson, G.S. (1968): Orientation statistic in the earth sciences, Bull of the Geological Institutions of the Univ. of Uppsala 2 (1968), 73-89

    Google Scholar 

  • Watson, G.S. (1969): Density estimation by orthogonal series, Ann. Math. Stat. 40 (1969): Density estimation by orthogonal series, Ann. Math. Stat. 40 (1969), 1469-1498

    Google Scholar 

  • Watson, G.S. (1970): The statistical treatment of orientation data, Geostatistics - a colloquium (ed. D.F. Merriam), Plenum Press, New York 1970, 1-10

    Google Scholar 

  • Watson, G.S. (1974): Optimal invariant tests for uniformity, Studies in Probability and Statistics, Jerusalem Academic Press (1974), 121-128

    Google Scholar 

  • Watson, G.S. (1981) : The Langevin distribution on high -dimensional spheres, J. Appl. Statis. 15 (1981) 123-130

    Google Scholar 

  • Watson, G.S. (1982) : Asymptotic spectral analysis of cross - product matrices, Tech. Report Dep.Statist., Princeton University 1982

    Google Scholar 

  • Watson, G.S: (1982): The estimation of palaeomagnetic pole positions, Statistics in Probability: Essay in hohor of C.R. Rao, North-Holland, Amsterdam and New York

    Google Scholar 

  • Watson, G.S. (1982): Distributions on the circle and sphere, in: Gani, J. and E.J. Hannan (eds.): Essays in Statistical Science, Sheffield, Applied Probability Trust, 265-280 (J. of Applied Probability, special volume 19A)

    Google Scholar 

  • Watson, G.S. (1983) : Large sample theory for distributions on the hypersphere with rotational symmetry, Ann. Inst.Statist. Math. 35 (1983) 303-319

    Google Scholar 

  • Watson, G.S. (1983): Statistics on Spheres. Wiley, New York

    Google Scholar 

  • Watson, G.S. (1984) : The theory of concentrated Langevin distributions, J. Multivariate Analysis 14 (1984) 74-82

    Google Scholar 

  • Watson, G.S. (1986): Some estimation theory on the sphere, Ann. Inst. Statist. Math. 38 (1986), 263-275

    Google Scholar 

  • Watson, G.S. (1987): The total approximation problem, in: Approximation theory IV, eds. Chui, C.K. et al., 723-728, Academic Press New York London 1987

    Google Scholar 

  • Watson, G.S. (1988): The Langevin distribution on high dimensional spheres, J. Applied Statistics 15 (1988), 123-130

    Google Scholar 

  • Watson, G. (1998): On the role of statistics in polomagnetic proof of continental drift, Canadian J. Statistics 26 (1998), 383-392

    Google Scholar 

  • Watson, G.S. and E.J. Williams (1956): On the construction of significance tests on the circle and the sphere, Biometrika 43 (1956), 344-352

    Google Scholar 

  • Watson, G.S. and E. Irving (1957): Statistical methods in rock magnetism, Monthly Notices Roy. Astro. Soc. 7 (1957), 290-300

    Google Scholar 

  • Watson, G.S. and M.R. Leadbetter (1963): On the estimation of the probability density-I, Ann. Math. Stat 34 (1963), 480-491

    Google Scholar 

  • Watson, G.S. and S. Wheeler (1964): A distribution-free two-sample test on a circle, Biometrika 51 (1964), 256

    Google Scholar 

  • Watson, G.S. and R.J. Beran (1967): Testing a sequence of unit vectors for serial correlation, Jour. of Geophysical Research 72 (1967), 5655-5659

    Google Scholar 

  • Watson, G.S., Epp, R. and J.W. Tukey (1971): Testing unit vectors for correlation, J. of Geophysical Research 76 (1971), 8480-8483

    Google Scholar 

  • Webster, R., Atteia, O. and Dubois, J-P. (1994): Coregionalization of trace metals in the soil in the Swiss Jura. Eur J Soil Sci 45:205-218

    Google Scholar 

  • Wedderburn, R. (1974): Quasi-likelihood functions, generalized linear models, and the Gauß-Newton method, Biometrica 61 (1974), 439-447

    Google Scholar 

  • Wedderburn, R. (1976): On the existence and uniqueness of the maximum likelihood estimates for certain generalized linear models, Biometrika 63: 27-32

    Google Scholar 

  • Wei, B.C. (1998): Exponential family: nonlinear models, Springer-Verlag, Heidelberg Berlin New York 1998

    Google Scholar 

  • Wei, B.-C. (1998): Testing for varying dispersion in exponential family nonlinear models, Ann. Inst. Statist. Math. 50 (1998), 277-294

    Google Scholar 

  • Wei, M. (1997): Equivalent formulae for the supremum and stability of weighted pseudoinverses, Mathematics of Computation 66 (1997), 1487-1508

    Google Scholar 

  • Wei, M. (2000): Supremum and stability of weighted pseudoinverses and weighted least squares problems: analysis and computations, Nova Science Publisher, New York 2000

    Google Scholar 

  • Wei, M. (2001): Supremum and stability of weighted pseudoinverses and weighted least squares problems analysis and computations, Nova Science Publishers, New York 2001

    Google Scholar 

  • Wei, M. and A.R. De Pierro (2000): Upper perturbation bounds of weighted projections, weighted and constrained least squares problems, SIAM J. Matrix Anal. Appl. 21 (2000), 931-951

    Google Scholar 

  • Wei, M. and A.R. De Pierro (2000): Some new properties of the equality constrained and weighted least squares problem, Linear Algebra and its Applications 320 (2000), 145-165

    Google Scholar 

  • Weibull, M. (1953): The distribution of t- and F-statistics and of correlation and regression coefficients in stratified samples from normal populations with different means, Skand. Aktuarietidskr., 36, Supple., 1-106.

    Google Scholar 

  • Weisberg, S. (1985): Applied Linear Regression, 2nd ed., Wiley, New York

    Google Scholar 

  • Weiss, J. (1993): Resultant methods for the inverse kinematics problem, Computational Kinematics (Eds.) J. Angeles et al., Kluwer Academic Publishers, Netherlands 1993.

    Google Scholar 

  • Weiss, G. and R. Rebarber (2000): Optimizability and estimability for infinite-dimensional linear systems, Siam J. Control Optim. 39 (2000), 1204-1232

    Google Scholar 

  • Weisstein, E.W. (1999): Legendre Polynomial, CRC Press LLC, Wolfram Research Inc. 1999

    Google Scholar 

  • Wellisch, S. (1910): Theorie und Praxis der Ausgleichungsrechnung Band 2: Probleme der Ausgleichungsrechnung, 46-49, Kaiserliche und königliche Hof-Buchdruckerei und Hof-Verlags-Buchhandlung, Carl Fromme, Wien und Leipzig 1910

    Google Scholar 

  • Wellner, J. (1979): Permutation tests for directional data, Ann. Statist. 7 (1979), 924-943

    Google Scholar 

  • Wells, D.E., Lindlohr, W., Schaffrin, B. and E. Grafarend (1987): GPS design: Undifferenced carrier beat phase observations and the fundamental difference theorem, University of New Brunswick, Surveying Engineering, Technical Report Nr. 116, 141 pages, Fredericton/Canada 1987

    Google Scholar 

  • Welsch, W. (1982): Zur Beschreibung des homogenen Strains oder Einige Betrachtungen zur affinen Transformation, Zeitschrijt für Vermessungswesen 107(1982), Heft 5, 8.173-182

    Google Scholar 

  • Welsch, W., Schlemmer, H. and Lang, M., (Hrsg.) (1992): Geodätische Me:Bverfahren im Maschinenbau. Schriftenreihe des Deutschen Vereins fiir Vermessungswesen, Verlag Konrad Wittwer, Stuttgart.

    Google Scholar 

  • Welsh, A.H. (1987): The trimmed mean in the linear model, Ann. Statist. 15 (1987), pp. 20-36

    Google Scholar 

  • Welsh, A.H. (1996): Aspects of statistical inference, J. Wiley, New York 1996

    Google Scholar 

  • Wenzel, H.G. (1977): Zur Optimierung von Schwerenetzen, Z. Vermessungswesen 102 (1977), 452-457

    Google Scholar 

  • Werkmeister, P. (1916): Graphische Ausgleichung bei trigonometrischer Punktbestimmung durch Einschneiden, Zeitschrift für Vermessungswesen 45 (1916), 113-126

    Google Scholar 

  • Werkmeister, P. (1916): Trigonometrische Punktbestimmung durch einfaches Einschneiden mit Hilfe von Vertikalwinkeln, Zeitschrift für Vermessungswesen 45} (1916) 248-251.

    Google Scholar 

  • Werkmeister, P. (1920): Über die Genauigkeit trigonometrischer Punktbestimmungen, Zeitschrift für Vermessungswesen 49} (1920) 401-412, 433-456.

    Google Scholar 

  • Werner, D. (1913): Punktbestimmung durch Vertikalwinkelmessung, Zeitschrift für Vermessungswesen 42} (1913) 241-253.

    Google Scholar 

  • Werner, H.J. (1985): More on BL U estimation in regression models with possibly singular covariances. Linear Algebra Appl. 67 (1985), 207-214.

    Google Scholar 

  • Werner, H.J. and Yapar, C. (1995): More on partitioned possibly restricted linear regression. In: New trends in probability and statistics. Multivariate statistics and matrices in statistics. (Proceed. 5th Conf. Tartu - Plihajarve, Estonia, May 23-28, 1994, E.-M. Tiit et al., ed.), Vol. 3, 1995, Utrecht, pp. 57-66.

    Google Scholar 

  • Werner, H.J. and Yapar, C. (1996): A BLUE decomposition in the general linear regression model. Linear Algebra Appl. 237/238 (1996), 395-404.

    Google Scholar 

  • Wernstedt, J. (1989): Experimentelle Prozeßanalyse, Oldenbourg Verlag, München 1989

    Google Scholar 

  • Wess, J. (1960): The conformal invariance in quantum field theory, in: Il Nuovo Cimento, Nicola Zanichelli (Hrsg.), Vol. 18, Bologna 1960

    Google Scholar 

  • Wetzel, W., Jöhnk, M.D. and P. Naeve (1967): Statistische Tabellen, de Gruyter, Berlin 1977

    Google Scholar 

  • Winkler, F. (1996): A polynomial algorithm in computer algebra, Springer-Verlag, Wien 1996.

    Google Scholar 

  • Whittaker, E.T. and G. Robinson (1924): The calculus of observations, Blackie, London 1924

    Google Scholar 

  • Whittle, P. (1952): On principal components and least square methods of factor analysis, Skand. Aktuarietidskr., 35, 223-239.

    Google Scholar 

  • Whittle, P. (1954): On Stationary Processes in the Plane. Biometrika 41, 434-449.

    Google Scholar 

  • Whittle, P. (1963): Prediction and regulation, D. van Nostrand Co., Inc., Princeton 1963

    Google Scholar 

  • Whittle, P. (1963): Stochastic processes in several dimensions, Bull. Inst. Int. Statist. 40 (1963), 974-994

    Google Scholar 

  • Whittle, P. (1973): Some general points in the theory of optimal experimental design, J. Roy. Statist.-Soc. B35 (1973), 123-130

    Google Scholar 

  • Wickerhauser, M.V. (1996): Adaptive Wavelet-Analysis, Theorie und Software, Vieweg & Sohn Verlag, Braunschweig/Wiesbaden 1996

    Google Scholar 

  • Wiener, N. (1923): Differential Space, J. Math. and Phys. 2 (1923) 131-174

    Google Scholar 

  • Wiener, N. (1949): Extrapolation, interpolation and smoothing of stationary time series, New York 1949

    Google Scholar 

  • Wiener, N. (1958): Non linear problems in random theory, MIT - Press 1958

    Google Scholar 

  • Wiener, N. (1964): Selected papers of N. Wiener, MIT - Press 1964

    Google Scholar 

  • Wiener, N. (1968): Kybernetik, rororo-Taschenbuch, Hamburg 1968

    Google Scholar 

  • Wieser, A.; Brunner, F.K. (2001): An Extended Weight Model for GPS Phase Observations. Earth, Planets and Spac  52:777-782

    Google Scholar 

  • Wieser, A.; Brunner, F.K. (2001): Robust estimation applied to correlated GPS phase observations. Presented at First International Symposium on Robust Statistics and Fuzzy Techniques in Geodesy and GIS, Zurich, Switzerland, 2001

    Google Scholar 

  • Wieser, A. (2002): Robust and fuzzy techniques for parameter estimation and quality assessment in GPS. Reihe ‘Ingenieurgeodasie - TV Graz’, J- Shaker Verlag, Aachen (English)

    Google Scholar 

  • Wieser, A. and Gaggl, M. and Hartinger, H. (2005): Improved positioning accuracy with high sensitivity GNSS receivers and SNR aided integrity monitoring of pseudo-range observations. In: Proc ION GNSS 2005, September 13-16, Long Beach, CA: 1545-1554

    Google Scholar 

  • Wigner, E.P. (1958): On the distribution of the roots of certain symmetric matrices, Ann. Math. 67 (1958)

    Google Scholar 

  • Wilcox, R.R. (1997): Introduction to robust estimation and hypothesis testing, Academic Press, San Diego 1997

    Google Scholar 

  • Wilcox, R.R. (2001): Fundamentals of modern statistical methods, Springer-Verlag, Heidelberg Berlin New York 2001

    Google Scholar 

  • Wilders, P. and E. Brakkee (1999): Schwarz and Schur: an algebraical note on equivalence properties, SIAM J. Sci. Comput. 20 (1999), 2297-2303

    Google Scholar 

  • Wilkinson, J. (1965): The algebraic eigenvalue problem, Clarendon Press, Oxford 1965

    Google Scholar 

  • Wilks, S.S. (1932a): Certain generalizations in the analysis of variance, Biometrika 24, 471-494

    Google Scholar 

  • Wilks, S.S. (1932b): On the sampling distribution of the multiple correlation coefficient, Ann. Math. Stat., 3, 196-203

    Google Scholar 

  • Wilks, S.S. (1932c): Moments and distributions of estimates of population parameters from fragmentary samples, Annals of Mathematical Statistics 3: 163-195

    Google Scholar 

  • Wilks, S.S. (1934): Moment-generating operators for determinants of product moments in samples from a normal system, Ann. of Math 35, 312-340

    Google Scholar 

  • Wilks, S.S. (1962): Mathematical statistics, J. Wiley, New York 1962

    Google Scholar 

  • Williams, E.J. (1963): A comparison of the direct and fiducial arguments in the estimation of a parameter, J. Roy. Statist. Soc. B25 (1963), 95-99

    Google Scholar 

  • Wimmer, G. (1995): Properly recorded estimate and confidence regions obtained by an approximate covariance operator in a special nonlinear model, Applications of Mathematics 40 (1995), 411-431

    Google Scholar 

  • Wimmer, H. (1981a): Ein Beitrag zur Gewichtsoptimierung geodätischer Netze, Deutsche Geodätische Kommission, München, Reihe C (1981), 269

    Google Scholar 

  • Wimmer, H. (1981b): Second-order design of geodetic networks by an iterative approximation of a given criterion matrix, in: Proc. of the IAG Symposium on geodetic networks and computations, R. Sigle ed., Deutsche Geodätische Kommission, München, Reihe B, Nr. 258 (1981), Heft Nr. III, 112-127

    Google Scholar 

  • Wimmer, H. (1982): Ein Beitrag zur gewitchs optimierung geodetischer Netu Report C 269, Deutsche Geodestiche Kommission, Bayerische Akademic der Wissenschaften, München 1982

    Google Scholar 

  • Wishart, J. (1928): The generalized product moment distribution in samples from a normal multivariate population, Biometrika 20 (1928), 32-52

    Google Scholar 

  • Wishart, J. (1931): The mean, and second moment coefficient of the multiple correlation coefficient in samples from a normal population, Biometrika, 22, 353-361.

    Google Scholar 

  • Wishart, J. (1933): The generalized product moment distribution in a normal system, Proc. Camb. Phil. Soc., 29, 260-270

    Google Scholar 

  • Wishart, J. (1948a): Proofs of the distribution law of the second order moment statistics, Biometrika, 35, 55-57.

    Google Scholar 

  • Wishart, J. (1948b): Test of homogeneity of regression coefficients, and its application in the analysis of covariance, presented to the Colloque International de Calcul des Probabilites et de Statistique Mathematique, Lyon.

    Google Scholar 

  • Wishart, J. (1955): Multivariate analysis, App. Stat., 4, 103-116

    Google Scholar 

  • Wishart, J. and M.S. Bartlett (1932): The distribution of second order moment statistics in a normal system, Proc. Camb. Phil. Soc., 28, 455-459.

    Google Scholar 

  • Wishner, R., Tabaczynski, J. and M. Athans (1969): A comparison of three non-linear filters, Automatica 5 (1969), 487-496

    Google Scholar 

  • Witkovsky, V. (1996): On variance-covariance components estimation in linear models with AR(1) disturbances. Acta Math. Univ. Comen., New Ser. 65, 1 (1996), 129-139.

    Google Scholar 

  • Witkovsky, V. (1998): Modified minimax quadratic estimation of variance components, Kybernetika 34 (1998), 535-543

    Google Scholar 

  • Witting, H. and G. Nölle (1970): Angewandte Mathematische Statistik, Teubner Verlag, Stuttgart 1970

    Google Scholar 

  • Wold, S., Wold, H.O., Dunn, W.J. and Ruhe, A. (1984): The collinearity problem in linear regression. The partial least squares (PLS) approach to generalized inverses, SIAM Journal on Scientific and Statistical Computing 5: 735-743

    Google Scholar 

  • Wolf, H. (1961): Das Fehlerfortpflanzungsgesetz mit Guedern II, ZfV

    Google Scholar 

  • Wolf, H. (1968): Ausgleichungsrechnung nach der Methode der kleinsten Quadrate, Ferdinand Dümmlers Verlag, Bonn 1968

    Google Scholar 

  • Wolf, H. (1973): Die Helmert-Inverse bei freien geodätischen Netzen, Z. Vermessungswesen 98 (1973), 396-398

    Google Scholar 

  • Wolf, H. (1975): Ausgleichungsrechnung I, Formeln zur praktischen Anwendung, Duemmler, Bonn 1975

    Google Scholar 

  • Wolf, H. (1976): The Helmert block method, its origin and development, Proc. 2nd Int. Symp. on problems related to the Redefinition of North American Geodetic Networks, 319-326, Arlington 1976

    Google Scholar 

  • Wolf, H. (1977): Eindeutige und mehrdeutige Geodätische Netze. Adh. Braunschw. Wiss. Ges., Band 28, G6ttingen, FRG, 1977.

    Google Scholar 

  • Wolf, H. (1980a): Ausgleichungsrechnung II, Aufgaben und Beispiel zur praktischen Anwendung, Duemmler, Bonn 1980

    Google Scholar 

  • Wolf, H. (1980b): Hypothesentests im Gauß-Helmert-Modell, Allg. Vermessungsnachrichten 87 (1980), 277-284

    Google Scholar 

  • Wolf, H. (1997): Ausgleichungsrechnung I und II, 3. Au age, Ferdinand Dümmler Verlag, Bonn 1997

    Google Scholar 

  • Wolkowicz, H. and G.P.H. Styan (1980): More bounds for eigenvalues using traces, Linear Algebra Appl. 31 (1980), 1-17

    Google Scholar 

  • Wolter, K.H. and Fuller, W.A. (1982), Estimation of the quadratic errors-in-variables model, Biometrika 69 (1982), 175-182

    Google Scholar 

  • Wong, C.S. (1993): Linear models in a general parametric form, Sankhya 55 (1993), 130-149

    Google Scholar 

  • Wong, W.K. (1992): A unified approach to the construction of minimax designs, Biometrika 79 (1992), 611-620

    Google Scholar 

  • Wood, A. (1982): A bimodal distribution for the sphere, Applied Statistics 31 (1982), 52-58

    Google Scholar 

  • Woolson, R.F. and W.R. Clarke (1984): Analysis of categorical incomplete data, J. Roy. Statist. Soc. A147 (1984), 87-99

    Google Scholar 

  • Worbs, E. (1955): Carl Friedrich Gauß, ein Lebensbild, Leipzig 1955

    Google Scholar 

  • Wu, C.F. (1986): Jackknife, bootstrap and other resampling methods in regression analysis, Annals of Statistics 14: 1261-1350

    Google Scholar 

  • Wu, C.F. (1980): On some ordering properties of the generalized inverses of non negative definite matrices, Linear Algebra Appl., 32 (1980), pp. 49-60

    Google Scholar 

  • Wu, C.F.J. (1981): Asymptotic theory of nonlinear least squares estimation, Ann. Stat. 9 (1981), 501-513

    Google Scholar 

  • Wu, I.T., Wu, S.C., Hajj, G.A., Bertiger, W.I. and Lichten, S.M. (1993): Effects of antenna orientation on GPS carrier phase. Manuscripta Geodaetica 18: 91-98

    Google Scholar 

  • Wu, Q. and Z. Jiang (1997): The existence of the uniformly minimum risk equivariant estimator in Sure model, Commun. Statist. - Theory Meth. 26 (1997), 113-128

    Google Scholar 

  • Wu, W. (1984): On the decision problem and mechanization of the theorem proving elementary geometry, Scientia Sinica 21} (1984) 150-172.

    Google Scholar 

  • Wu, Y. (1988): Strong consistency and exponential rate of the “minimum L1-norm” estimates in linear regression models, Computational Statistics and Data Analysis 6: 285-295

    Google Scholar 

  • Wunsch, G. (1986): Handbuch der Systemtheorie, Oldenbourg Verlag, München 1986

    Google Scholar 

  • Wyss, M., Liang, B.Y., Tanagawa, W. and Wu, X. (1992): Comparison of orientations of stress and strain tensors based on fault plane solutions in Kaoiki, Hawaii, J. geophys. Res., 97, 4769-4790

    Google Scholar 

  • Xi, Z. (1993): Iterated Tikhonov regularization for linear ill-posed problems, Ph.D. Thesis, Universität Kaiserslautern, Kaiserslautern 1993

    Google Scholar 

  • Xu, C., Ding, K., Cai, J. and Grafarend, E. (2009): Method for determining weight scale factor parameter in joint inverse problem of geodesy, Journal of Geodynamics, Vol. 47, 39-46. doi:10.1016/j.jog.2008.06.005

    Google Scholar 

  • Xu, P. and Rummel, R. (1994): Generalized ridge regression with applications in determination of potential fields, Manuscripta. Geodetica, 20, pp. 8-20

    Google Scholar 

  • Xu, P.L. (1986): Variance-covariance propagation for a nonlinear function, J. Wuhan Techn. UnL Surv. Mapping, 11, No. 2, 92-99

    Google Scholar 

  • Xu, P.L. (1989a): On the combined adjustment of gravity and levelling data, Ph.D. diss., Wuhan Tech. Univ. Surv. Mapping

    Google Scholar 

  • Xu, P.L. (1989b): On robust estimation with correlated observations, Bull. Gèeodesique 63 (1989), 237-252

    Google Scholar 

  • Xu, P.L. (1989c): Statistical criteria for robust methods, ITC Journal, 1 (1989), pp. 37-40

    Google Scholar 

  • Xu, P.L. (1991): Least squares collocation with incorrect prior information, Z. Vermessungswesen 116 (1991), 266-273

    Google Scholar 

  • Xu, P.L. (1992): The value of minimum norm estimation of geopotential fields, Geophys. J. Int. 111 (1992), 170-178

    Google Scholar 

  • Xu, P.L. (1993): Consequences of Constant Parameters and Confidence Intervals of Robust Estimation, Boll. Geod. Sci. Affini, 52, pp. 231-249

    Google Scholar 

  • Xu, P.L. (1995): Testing the hypotheses of non-estimable functions in free net adjustment models, manuscripta geodaetica 20 (1995), 73-81

    Google Scholar 

  • Xu, P.L. (1996): Statistical aspects of 2-D symmetric random tensors, Proc. FIG int. Symp.

    Google Scholar 

  • Xu, P.L. (1999a): Biases and accuracy of, and an alternative to, discrete nonlinear filters, Journal of Geodesy 73 (1999), 35-46

    Google Scholar 

  • Xu, P.L. (1999b): Spectral theory of constrained second-rank symmetric random tensors, Geophys. J. Int. 138 (1999), 1-24

    Google Scholar 

  • Xu, P.L. (2001): Random simulation and GPS decorrelation, Journal of Geodesy 75 (2001), 408-423

    Google Scholar 

  • Xu, P.L. (2002a): Isotropic probabilistic models for directions, planes and referential systems, Proc. Royal Soc. London A458 (2002), 2017-2038

    Google Scholar 

  • Xu, P.L. (2002b): A Hybrid Global Optimization Method: One-dimensional Case , J. comput. appl. Math., 147, pp. 301-314.

    Google Scholar 

  • Xu, P.L. (2003): A Hybrid Global Optimization Method: The Multi-dimensional Case, J. comput. appl. Math., 155, pp. 423-446

    Google Scholar 

  • Xu, P.L. (2005): Sign-constrained Robust Least Squares, Subjective Breakdown Point and the Effect of Weights of Observations, J. of Geodesy, 79 (2005), pp. 146-159

    Google Scholar 

  • Xu, P.L. (2006) : Voronoi cells, probabilistic bounds and hypothesis testing in mixed integer linear models, IEEE Transactions on Information Theory 52 (2006) 3122-3138

    Google Scholar 

  • Xu, P.L. and E.W. Grafarend (1996a): Statistics and geometry of the eigenspectra of three-dimensional second-rank symmetric random tensors, Geophysical Journal International 127 (1996), 744-756

    Google Scholar 

  • Xu, P.L. and E.W. Grafarend (1996b): Probability distribution of eigenspectra and eigendirections of a twodimensional, symmetric rank two random tensor, Journal of Geodesy 70 (1996), 419-430

    Google Scholar 

  • Xu, P.L., Shen, Y., Fukuda, Y. and Liu, Y. (2006): Variance component estimation in linear inverse ellipsoid models, J. Geodesy 80 (2006) 69-81

    Google Scholar 

  • Xu, P.L., Liu, Y., Shen, Y. and Fukuda, Y. (2007): Estimability analysis of variance ad covariance components. J. Geodesy 81 (2007) 593-602

    Google Scholar 

  • Xu, Z.H., Wang, S.Y., Huang, Y.R. and Gao, A. (1992): Tectonic stress field of China inferred from a large number of small earthquakes, J. geophys. Res., B97, 11867-11877

    Google Scholar 

  • Yadrenko, M.I. (1987): Correlation theory of stationary and related random functions, Vol I, Basic results, Springer Verlag, New York 1987

    Google Scholar 

  • Yaglom, A.M. (1961): Second-order homogeneous random fields in: Proceedings of the Fourth Berkeley Symposium on Mathematical Statistics and Probability, 593-622, University of California Press, Berkeley 1961

    Google Scholar 

  • Yaglom, A.M. (1962): An introduction to the theory of stationary random functions. Dover New York, 1962.

    Google Scholar 

  • Yaglom, A.M. (1987): Correlation theory of stationary and related random functions. Springer, New York

    Google Scholar 

  • Yakhot, V. et. al (1989): Space-time correlations in turbulence: kinematical versus dynamical effects, Phys. Fluids A1 (1989) 184-186

    Google Scholar 

  • Yancey, T.A., Judge, G.G., and Bock, M.E. (1974): A mean square error test when stochastic restrictions are used in regression, Communications in Statistics, Part A-Theory and Methods 3: 755-768

    Google Scholar 

  • Yang, H. (1996): Efficiency matrix and the partial ordering of estimate, Commun. Statist. - Theory Meth. 25(2) (1996), 457-468

    Google Scholar 

  • Yang, Y. (1994): Robust estimation for dependent observations, Manuscripta geodaetica 19 (1994), 10-17

    Google Scholar 

  • Yang, Y. (1999): Robust estimation of geodetic datum transformation, Journal of Geodesy 73 (1999), 268-274

    Google Scholar 

  • Yang, Y. (1999): Robust estimation of systematic errors of satellite laser range, Journal of Geodesy 73 (1999), 345-349

    Google Scholar 

  • Yang, Y., Song, L. and Xu, T. (2001): Robust Estimator for the Adjustment of Correlated GPS Networks. Presented at First International Symposium on Robust Statistics and Fuzzy Techniques in Geodesy and GIS, Zurich, Switzerland, 2001.

    Google Scholar 

  • Yang, Y., Song, L. and Xu, T. (2002): Robust parameter estimation for geodetic correlated observations. Acta Geodaetica et Cartographica Sinica, 31(2), pp. 95-99

    Google Scholar 

  • Yazji, S. (1998): The effect of the characteristic distance of the correlation function on the optimal design of geodetic networks, Acta Geod. Geoph. Hung. 33 (2-4) (1998), 215-234

    Google Scholar 

  • Ye, Y. (1997): Interior point algorithms: Theory and analysis, J. Wiley, New York 1997

    Google Scholar 

  • Yeh, A.B. (1998): A bootstrap procedure in linear regression with nonstationary errors, The Canadian J. Stat. 26 (1998), 149-160

    Google Scholar 

  • Yeung, M.-C. and T.F. Chan (1997): Probabilistic analysis of Gaussian elimination without pivoting, SIAM J. Matrix Anal. Appl. 18 (1997), 499-517

    Google Scholar 

  • Ylvisaker, D. (1977): Test resistance, J. Am. Statist. Ass. 72, 551-557, 1977

    Google Scholar 

  • Yohai, V.J. (1987): High breakdown point and high efficiency robust estimates for regression, Ann. Stat., 15 (1987), pp. 642-656

    Google Scholar 

  • Yohai, V.J. and R.H. Zamar (1997): Optimal locally robust M-estimates of regression, J. Statist. Planning and Inference 64 (1997), 309-323

    Google Scholar 

  • Yor, M. (1992): Some aspects of Brownian motion, Part I: Some special functionals, Birkhäuser-Verlag, Basel Boston Berlin 1992

    Google Scholar 

  • Yor, M. (1992): Some aspects of Brownian motion, Part II: Some recent martingale problems, Birkhäuser-Verlag, Basel Boston Berlin 1997

    Google Scholar 

  • You, R.J.(2000): Transformation of Cartesian to geodetic coordinates without iterations, Journal of Surveying Engineering 126} (2000) 1-7.

    Google Scholar 

  • Youssef, A.H.A. (1998): Coefficient of determination for random regression model, Egypt. Statist. J. 42 (1998), 188-196

    Google Scholar 

  • Yu, Z.C. (1992): A generalization theory of estimation of variance-covariance components, Manusc. Geodetica, 17, 295-301

    Google Scholar 

  • Yu, Z.C. (1996): A universal formula of maximum likelihood estimation of variance-covariance components, Journal of Geodesy 70 (1996), 233-240

    Google Scholar 

  • Yu. Z. and M. Li (1996): Simultaneous location and evaluation of multi-dimensional gross errors, Wuhan Tech. University of Surveying and mapping, Science reports, 1, (1996), pp. 94-103

    Google Scholar 

  • Yuan, K.H. and P.M. Bentler (1997): Mean and covariance structure analysis - theoretical and practical improvements, J. Am. Statist. Ass. 92 (1997), 767-774

    Google Scholar 

  • Yuan, K.H. and P.M. Bentler (1998): Robust mean and covariance structure analysis, British Journal of Mathematical and Statistical Psychology (1998), 63-88

    Google Scholar 

  • Yuan, Y. (1999): On the truncated conjugate gradient method, Springer-Verlag, Heidelberg Berlin New York

    Google Scholar 

  • Yuan, Y. (2000): On the truncated conjugate gradient method, Math. Prog. 87 (2000), 561-571

    Google Scholar 

  • Yunck, T.P. (1993): Coping with the Atmosphere and Ionosphere in Precise Satellite and Ground Positioning In: Environmental Effects on Spacecraft Positioning and Trajectories, Geophysical Monograph 73, WGG, Vol l3, pp 1-16

    Google Scholar 

  • Yusuf, S., Peto, R., Lewis, J., Collins, R. and P. Sleight (1985): Beta blockade during and after myocardial infarction: An overview of the randomized trials, Progress in Cardiovascular Diseases 27 (1985), 335-371

    Google Scholar 

  • Zabell, S. (1992): R.A. Fisher and the fiducial argument, Statistical Science 7 (1992), 369-387

    Google Scholar 

  • Zackin, R., de Gruttola, V. and N. Laird (1996): Nonparametric mixed-effects for repeated binary data arising in serial dilution assays: Application to estimating viral burden in AIDS, J. Am. Statist. Ass. 91 (1996), 52-61

    Google Scholar 

  • Zacks, S. (1971): The theory of statistical inference, J. Wiley, New York 1971

    Google Scholar 

  • Zadeh, L. (1965): Fuzzy sets, Information and Control 8 (1965), 338-353

    Google Scholar 

  • Zaiser, J. (1986): Begründung Beobachtungsgleichungen und Ergebnisse für dreidimensionales geometrisch-physikalishes Modell der Geodäsie, Zeitschrift für Vermessungswesen 111} (1986) 190-196.

    Google Scholar 

  • Zavoti J. and T. Jansco (2006): The solution of the 7 parameter Datum transformation problem with and withour the Gröbner basis, Acta. Geod. Geophy. Hung. 41 (2006) 87-100

    Google Scholar 

  • Zèavoti, J. (1999): Modified versions of estimates based on least squares and minimum norm, Acta Geod. Geoph. Hung. 34 (1999), 79-86

    Google Scholar 

  • Zehfuss, G. (1858): Über eine gewisse Determinante, Zeitschrift für Mathematik und Physik 3 (1858), 298-301

    Google Scholar 

  • Zellner, A. (1962): An efficient method of estimating seemingly unrelated regressions and tests for aggregation bias, Journal of the American Statistical Association 57: 348-368

    Google Scholar 

  • Zellner, A. (1971): An introduction to Bayesian inference in econometrics, J. Wiley, New York 1971

    Google Scholar 

  • Zha, H. (1995): Comments on large least squares problems involving Kronecker products, SIAM J. Matrix Anal. Appl. 16 (1995), 1172

    Google Scholar 

  • Zhan, X. (2000): Singular values of differences of positive semi-definite matrices, Siam J. Matrix Anal. Appl. 22 (2000), 819-823

    Google Scholar 

  • Zhang, B.X., Liu, B.S. and Lu, C.Y. (2004): A study of the equivalence of the BLUEs between a partitioned singular linear model and its reduced singular linear models. Acta Math. Sin., Engl. Ser. 20, 3 (2004), 557-568.

    Google Scholar 

  • Zhang, Y. (1985): The exact distribution of the Moore-Penrose inverse of X with a density, in: Multivariate Analysis VI, Krishnaiah, P.R. (ed), 633-635, Elsevier, New York 1985

    Google Scholar 

  • Zhang, S. (1994): Anwendung der Drehmatrix in Hamilton normierten Quaternionenen bei der Bündelblock Ausgleichung, Zeitschrift für Vermessungswesen 119} (1994) 203-211.

    Google Scholar 

  • Zhang, J., Zhang, K. and Grenfell, R. (2004a): On the relativistic Doppler Effects and high accuracy velocity estimation using GPS. In Proc The 2004 International Symposium on GNSSIGPS, December 6-8, Sydney, Australia

    Google Scholar 

  • Zhang, J., Zhang, K., Grenfell, R., Li, Y. and Deakin, R. (2004b): Real-Time DopplerlDoppler Rate Derivation for Dynamic Applications. In Proc The 2004 International Symposium on GNSSIGPS, December 6-8, Sydney, Australia

    Google Scholar 

  • Zhang, J., Zhang, K., Grenfell, R. and Deakin, R. (2006a): GPS satellite velocity and acceleration Determination using the Broadcast Ephemeris. The Journal of Navigation 59: 293-305

    Google Scholar 

  • Zhang, J., Zhang, K., Grenfell, R. and Deakin, R. (2006b): Short note: On the relativistic Doppler effect for precise velocity determination using GPS. Journal of Geodesy 80: 104-110

    Google Scholar 

  • Zhang, J.Z., Chen, L.H. and N.Y. Deng (2000): A family of scaled factorized Broyden-like methods for nonlinear least squares problems, SIAM J. Optim. 10 (2000), 1163-1179

    Google Scholar 

  • Zhang, Z. and Y. Huang (2003): A projection method for least squares problems with a quadratic equality constraint, SIAM J. Matrix Anal. Appl. 25 (2003), 188-212

    Google Scholar 

  • Zhao, L.P., and Prentice, R.L. (1990): Correlated binary regression using a generalized quadratic model, Biometrika 77: 642-648

    Google Scholar 

  • Zhao, L.P., Prentice, R.L., and Self, S.G. (1992): Multivariate mean parameter estimation by using a partly exponential model, Journal of the Royal Statistical Society, Series B 54: 805-811

    Google Scholar 

  • Zhao, Y. and S. Konishi (1997): Limit distributions of multivariate kurtosis and moments under Watson rotational symmetric distributions, Statistics & Probability Letters 32 (1997), 291-299

    Google Scholar 

  • Zhdanov, M.S. (2002): Geophysical inverse theory and regularization problems, Methods in Geochemistry and Geophysics 36, Elsevier, Amsterdam Boston London 2002

    Google Scholar 

  • Zhenhua, X. (1993): Iterated Tikhonov regularization for linear ill-posed problem, Ph.D.Thesis University of Kaiserslautern, Kaiserslautern 1993

    Google Scholar 

  • Zhen-Su, S., Jackson, E. and Orszag, S. (1990): Intermittency of turbulence, in: The Legacy of John von Neumann (J. Glimm, J. Impagliazzo, I. Singer eds.) Proc. Symp. Pure Mathematics, Vol. 50, 197-211, American Mathematical Society, Providence, Rhode Island 1990

    Google Scholar 

  • Zhou, J. (2001): Two robust design approaches for linear models with correlated errors, Statistica Sinica 11 (2001), 261-272

    Google Scholar 

  • Zhou, K.Q. and S.L. Portnoy (1998): Statistical inference on hetero-skedastic models based on regression quantiles, J. Nonparametric Statistics 9 (1998), 239-260

    Google Scholar 

  • Zhou, L.P. and Mathew, T. (1993): Combining independent tests in linear models. J. Am. Stat. Assoc. 88, 422 (1993), 650-655.

    Google Scholar 

  • Zhu, J. (1996): Robustness and the robust estimate, Journal of Geodesy 70 (1996), 586-590

    Google Scholar 

  • Zhu, Z. and Stein, M.L. (2006): Spatial sampling design for prediction with estimated parameters. J Agricult Biol Environ Stat 11:24-49

    Google Scholar 

  • Ziegler, A., Kastner, C. and M. Blettner (1998): The generalised estimating equations: an annotated bibliography, Biometrical Journal 40 (1998), 115-139

    Google Scholar 

  • Zimmermann, H.-J. (1991): Fuzzy set theory and its applications, 2nd ed., Kluwer Academic Publishers, Dordrecht 1991

    Google Scholar 

  • Zippel, R. (1993): Effective polynomial computation, Kluwer Academic Publications, Boston 1993.

    Google Scholar 

  • Zolotarev, V.M. (1997): Modern theory of summation of random variables, VSP, Utrecht 1997

    Google Scholar 

  • Zmyslony R. (1980): A characterization of best linear unbiased estimators in the general linear model. In: Mathematical statistics and probability theory. (Proceed. 6th Int. Conf., Wisla, Poland, 1978, Lect. Notes Stat. 2), 1980, pp. 365-373.

    Google Scholar 

  • Zoback, M.D. (1992a): Introduction to special section on the Cajon Pass scientific drilling project, J. geophys. Res., B97, 4991-4994

    Google Scholar 

  • Zoback, M.D. (1992b): First and second-order patterns of stress in the lithosphere: the World Stress Map Project, J. geophys. Res., B97, 11703-11728

    Google Scholar 

  • Zoback, M.D. (1992c): Stress field constraints on intraplate seismicityin eastern North America, J. geophys. Res., B97, 11761-11782

    Google Scholar 

  • Zoback, M.D. and Healy, J. (1992): In-situ stress measurements to 3.5 km depth in the Cajon Pass scientific research borehole: Implications for the mechanics of crustal faulting, J. geophys. Res., B97, 5039-5057

    Google Scholar 

  • Zumberge, J.F. and Bertiger, W.I. (1996): Ephemeris and Clock Navigation Message Accuracy. In: Parkinson B.W., Spilker J.J. (eds) Global Positioning System: Theory and Applications, Volume 1, American Institute of Aeronautics and Astronautics, Washington DC, pp. 585-599

    Google Scholar 

  • Zurmühl, R. and S. Falk (1984): Matrizen und ihre Anwendungen, Teil 1: Grundlagen, 5.ed., Springer-Verlag, Heidelberg Berlin New York 1984

    Google Scholar 

  • Zurmühl, R. and S. Falk (1986): Matrizen und ihre Anwendungen, Teil 2: Numerische Methoden, 5.ed., Springer-Verlag, Heidelberg Berlin New York 1986

    Google Scholar 

  • Zvara, K. (1989): Regression Analysis. Academia, Praha, 1989 (in Czech).

    Google Scholar 

  • Zwanzig, S. (1980): The choice of approximative models in nonlinear regression, Statistics, Vol. 11, No. 1, 23-47.

    Google Scholar 

  • Zwanzig, S. (1983): A note to the paper of Ivanov and Zwanzig on the asymptotic expansion of the least squares estimator. Statistics, Vol. 14, No. 1, 29-32.

    Google Scholar 

  • Zwanzig, S. (1985): A third order comparison of least squares, jacknifing and cross validation for error variance estimation in nonlinear regression. Statistics, VoL 16, No. 1, 47-54.

    Google Scholar 

  • Zwanzig, S. (1987): On the consistency of the least squares estimator in nonlinear errors- in-variables models, Folia Oeconomia, Acta Universitatis Lodziensis. 8 poo

    Google Scholar 

  • Zwanzig, S. (1989): On an asymptotic minimax result in nonlinear errors-in-variables models, Proceedings of the Fourth Prague Symposium on Asymptotic Statistics, Prague 1989, 549-558.

    Google Scholar 

  • Zwanzig, S. (1990): Discussion to A. Pazman: Small-sample distributional properties of nonlinear regression estimator (a geometric approach). Statistics Vol. 21, No. 3, 361-363.

    Google Scholar 

  • Zwanzig, S. (1991): Least squares estimation in nonlinear functional relations. Proceedings Probastat 91, Bratislava, 171-177.

    Google Scholar 

  • Zwanzig, S. (1994): On adaptive estimation in nonlinear regression. Kybemetika, Vol. 30, No. 3, 359-367.

    Google Scholar 

  • Zwanzig, S. (1997): On L1-norm estimators in nonlinear regression and in nonlinear error-in-variables models, in L1-Statistical Procedures and Related Topics IMS Lecture Notes-Monographs Series. Vol 31, 1997, 101-118.

    Google Scholar 

  • Zwanzig, S. (1998a): Application of Hipparcos dates: A new statistical method for star reduction. Proceedings of Journees 1997, Academy of Sciences of the Czech Republic, Astronomical Institute, 142-144.

    Google Scholar 

  • Zwanzig, S. (1998b): Experimental design for nonlinear error-in-variables models,Proceedings of the Third St.-Petersburg Workshop on Simulation, 225-230.

    Google Scholar 

  • Zwanzig, S. (1999): How to adjust nonparametric regression estimators to models with errors in the variables, Theory of Stochastic Processes. 5 (21) 272-277.

    Google Scholar 

  • Zwanzig, S. (2000): Experimental design for nonlinear error-in-variables models, in Advanced in Stochastc Simulation Methods Ed. Balakrishan, Melas, Ermakov

    Google Scholar 

  • Zwanzig, S. (2007): Local linear estimation in nonparametric errors-in-variables models. Theory of Stochastic Processes, VoL 13, 316-327

    Google Scholar 

  • Zwet van, W.R. and J. Osterhoff (1967): On the combination of independent test statistics, Ann. Math. Statist. 38 (1967), 659-680

    Google Scholar 

  • Zwinck, E. (ed) (1988): Christian Doppler- Leben und Werk; Der Doppler effekt. Schriftenreihe des Landespressebiiros / Presse- und Informationszentrum des Bundeslandes Salzburg, Sonderpublikationen 76, 140p (in German)

    Google Scholar 

  • Zyskind, G. (1967): On canonical forms, non-negative covariance matrices and best and simple least squares linear estimators in linear models. Ann. Math. Stat. 38 (1967), 1092-1109.

    Google Scholar 

  • Zyskind, G. (1969): On best linear estimation and a general Gauss-Markov theorem in linear models with arbitrary nonnegative covariance structure, SIAM J. Appl. Math. 17 (1969), 1190-1202

    Google Scholar 

  • Zyskind, G. (1975): Error structures. Projections and conditional inverses in linear model theory. In A survey of statistical design and linear models, J.W. Srivastava (ed.), pp. 647-663, North Holland, Amsterdam 1975

    Google Scholar 

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Correspondence to Erik W. Grafarend .

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Grafarend, E.W., Awange, J.L. (2012). The Nonlinear Problem of the 3d Datum Transformation and the Procrustes Algorithm. In: Linear and Nonlinear Models. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22241-2_12

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