Abstract
Lifetime study of organisms and systems plays an important role in reliability theory and survival analysis. Lifetime models with a non-monotone hazard rate function have a wide range of applications in real life. Human life is the best example of a situation where the hazard rates turn out to be non-monotone. In this article, we introduce a new lifetime model which shows monotone and non-monotone hazard rate functions for different choices of parameters. Here we examine the analytical properties of the distribution and discuss the stress strength reliability based on the proposed distribution. The theory of parameter estimation for our model is described using different methods. We also carry out the simulation study to examine the consistency of the maximum likelihood estimators. In addition, we study three real data sets. The proposed model is seen to fit better than some of the other distributions when compared based on the data sets.
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Kavya, P., Manoharan, M. A New Lifetime Model for Non-Monotone Failure Rate Data. J Indian Soc Probab Stat 24, 211–241 (2023). https://doi.org/10.1007/s41096-023-00152-x
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DOI: https://doi.org/10.1007/s41096-023-00152-x