The Lindley distribution gain importance in survival analysis for the similarity of exponential distribution and allowance for the different shapes of hazard function. Frailty models provide an alternative to proportional hazards model where misspecified or omitted covariates are described by an unobservable random variable. Despite of the distribution of the frailty is generally assumed to be continuous, it is appropriate to consider discrete frailty distributions In some circumstances. In this paper, frailty models with discrete compound Poisson process for the Lindley distributed failure time are introduced. Survival functions are derived and maximum likelihood estimation procedures for the parameters are studied. Then, the fit of the models to the earthquake data set of Turkey are examined.
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17 October 2013
11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013
21–27 September 2013
Rhodes, Greece
Research Article|
October 17 2013
Lindley frailty model for a class of compound Poisson processes
Gamze Özel Kadilar;
Gamze Özel Kadilar
Department of Statistics, Hacettepe University, 06800, Beytepe, Ankara,
Turkey
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Nihal Ata
Nihal Ata
Department of Statistics, Hacettepe University, 06800, Beytepe, Ankara,
Turkey
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AIP Conf. Proc. 1558, 1462–1465 (2013)
Citation
Gamze Özel Kadilar, Nihal Ata; Lindley frailty model for a class of compound Poisson processes. AIP Conf. Proc. 17 October 2013; 1558 (1): 1462–1465. https://doi.org/10.1063/1.4825794
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