Open Access Open Access  Restricted Access Subscription or Fee Access

Discrete Frailty Model with Compound Poisson Distribution

G. Ozel Kadılar, N. Ata Tutkun


Frailty models provide an alternative to proportional hazards models where misspecified or omitted covariates are described by an unobservable random variable. These models are generally assumed a continuous frailty random variable. In some circumstances, it is appropriate to consider discrete frailty distributions. Besides, exponential, Weibull, gamma distributions and their generalizations have been used as failure time distributions in survival analysis. As an alternative to exponential distribution, Lindley distribution gains importance for the similarity of exponential distribution and allowance for the different shapes of hazard function. In this paper, frailties are assumed to be random variables drawn from a discrete compound Poisson distribution for the Lindley distributed failure time. In our study, proposed methods are applied to analyze subscription based business. The results of this study suggest that the Neyman type A frailty model for analyzing individual pension data. The results show that the Lindley is a more flexible failure time distribution than exponential since the hazard rates of the models is not constant.


Censored data models, compound Poisson distribution, frailty, Lindley distribution, survival function.

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information.