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Activity Number: 654
Type: Contributed
Date/Time: Thursday, August 4, 2016 : 8:30 AM to 10:20 AM
Sponsor: Biometrics Section
Abstract #320760
Title: A New Estimator of Baseline Hazard Function in Bivariate Frailty Models
Author(s): Antai Wang* and Xieyang Jia
Companies: New Jersey Institute of Technology and New Jersey Institute of Technology
Keywords: Frailty models ; The Breslow estimator ; Dependent Censored data

In this research, we study the properties of a special class of frailty models when the frailty is common to several failure times. The model is closely linked to Archimedean copula models. We establish a useful formula for baseline hazard functions for this class of frailty models. We then propose a new estimator for baseline hazard functions in bivariate frailty models based on dependent censored data with covariates. From our simulation studies, our estimator for baseline hazard functions outperforms the well-known Breslow estimator in general as we can obtain much more stable parameter and hazard function estimates using our estimator in EM algorithm. We fit a leukemia data set using our model and end our paper with some discussions.

Authors who are presenting talks have a * after their name.

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