NDLI: On proportional reversed hazards frailty models

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On proportional reversed hazards frailty models

Content Provider	Springer Nature Link
Author	Gleeja, Villan Lonappan Sankaran, Paduthol Godan
Copyright Year	2011
Abstract	Frailty models are widely employed in bivariate survival data as they allow us to model the dependence through common random effect. The frailty models developed in literature are based on the assumption that the frailty random variables act multiplicatively on the baseline hazard rates and those models are useful for the analysis of right censored data. In the present paper, we introduce a class of semiparametric frailty models in terms of reversed hazard rates, which is useful for the analysis of left censored data. The shared gamma frailty reversed hazards model and correlated gamma frailty reversed hazards model are studied. The estimation of the parameters of the models by maximum likelihood method, using EM algorithm, is presented. The properties of the estimates are also discussed. The gamma frailty reversed hazards models in presence of observed covariates are also studied. Finally, we apply the models to a real data set.
Starting Page	151
Ending Page	173
Page Count	23
File Format	PDF
ISSN	00261424
Journal	METRON
Volume Number	69
Issue Number	2
e-ISSN	2281695X
Language	English
Publisher	Springer-Verlag
Publisher Date	2012-12-22
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Estimation Frailty model Reversed hazard rate Statistical Theory and Methods Statistics
Content Type	Text
Resource Type	Article
Subject	Statistics and Probability

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