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Characterization of stochastic processes with conditionally independent increments

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Literature Cited

  1. I. I. Ezhov and A. V. Skorokhod, “Markov processes homogeneous in the second component I, II,” Teoriya Veroyatn. i ee Primen.,14, No. 1, 3–14, No. 4, 679–692 (1969).

    Google Scholar 

  2. E. Cinlar, “Markov additive processes, I, II,” Zeit. Wahrscheinlichkeitstheorie u. Verw. Geb.,24, No. 2, 85–93; 95–121 (1972).

    Google Scholar 

  3. R. F. Serfozo, “Processes with conditional stationary independent increments,” J. Appl. Prob.,9, No. 2, 303–315 (1972).

    Google Scholar 

  4. D. R. Cox, “Some statistical methods connected with series of events,” J. R. Statist. Soc. B.,17, 129–164 (1955).

    Google Scholar 

  5. B. Grigelionis, “Stochastic point processes and martingales,” Litovsk. Matem. Sb.,14, No. 3, 101–114 (1975).

    Google Scholar 

  6. J. L. Doob, Stochastic Processes, Wiley, New York (1953).

    Google Scholar 

  7. C. Doléans-Dade and P. A. Meyer, “Intégrales stochastiques par rapport aux martingales locales,” in: Lecture Notes in Math. No. 124, Springer-Verlag (1970), pp. 77–107.

  8. B. Grigelionis, “On the Markov property of stochastic processes,” Litovsk. Matem. Sb.,8, No. 3, 93–106 (1968).

    Google Scholar 

  9. B. Grigelionis, “On the representation of integral stochastic measures as stochastic integrals with respect to the Poisson measure,” Litovsk. Matem. Sb.,11, No. 1, 93–108 (1971).

    Google Scholar 

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Authors
  1. B. Grigelionis
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Additional information

Institute of Physics and Mathematics, Academy of Sciences of the Lithuanian SSR. V. Kapsucas Vilnius State University. Translated from Lietuvos Matematikos Rinkinys (Litovskii Matematicheskii Sbornik), Vol. 15, No. 4, pp. 53–60, October–December, 1975.

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Grigelionis, B. Characterization of stochastic processes with conditionally independent increments. Lith Math J 15, 562–567 (1975). https://doi.org/10.1007/BF00969787

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  • DOI: https://doi.org/10.1007/BF00969787

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