Univariate frailty distributions: A Review

S.G.Parekh ¹ , S.R. Patel²

Section:Review Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.352-356, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.352356

Online published on Dec 31, 2018

Copyright © S.G.Parekh, S.R. Patel . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
The main idea of this review article is to review different univariate frailty models discussed by various authors. Particularly Discrete, Gamma, Inverse Gaussian, Generalized exponential, Log normal, Compound Poisson and Compound Negative Binomial frailty distributions are discussed. So far we have furnished the development of different frailty distributions with some important features and we have also provided the recent developments of many frailty distributions. By generating the observations of some distributions, we have obtained maximum likelihood estimators of the parameters with their standard errors involved in these frailty distributions.

Key-Words / Index Term :
Frailty models, Gamma, Inverse Gaussian, Generalized exponential, Log normal, Compound Poisson, Compound Negative Binomial, distributions

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