Abstract #300764


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JSM 2002 Abstract #300764
Activity Number: 102
Type: Topic Contributed
Date/Time: Monday, August 12, 2002 : 10:30 AM to 12:20 PM
Sponsor: General Methodology
Abstract - #300764
Title: On Multivariate Survival Models with a Skewed Frailty and Correlated Baseline Hazard Process
Author(s): Dipak Dey*+
Affiliation(s): University of Connecticut
Address: U-4120, 215 Glenbrook Road, Storrs, Connecticut, 06269, USA
Keywords: Frailty ; MCMC ; Reversible jump ; Stable distribution
Abstract:

Often, the dependence in multivariate survival data is modeled through an individual level effect called the frailty. In this talk we propose a very general class of robust frailty distribution called the log skew-t distribution, which includes many commonly used frailty distributions. The distributions often have heavier tails than the gamma and even the positive stable distributions. Conditional on frailty, the survival times are assumed to be independent with proportional hazard structure. The modelling process is then completed by assuming a correlated prior process on the baseline hazard function. Further, we consider such a process, which jumps according to a time-homogeneous Poisson process. We develop Bayesian methods to obtain posterior inference using a variable dimensional Markov chain Monte Carlo method. We illustrate and compare our methods using two practical examples.


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