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Activity Number: 286
Type: Contributed
Date/Time: Tuesday, July 31, 2007 : 10:30 AM to 12:20 PM
Sponsor: ENAR
Abstract - #309855
Title: Bayesian Inferences for Bivariate Positive Stable Frailty
Author(s): Madhuja Mallick*+ and Nalini Ravishanker and Nandini Kannan
Companies: Merck & Co., Inc. and University of Connecticut and University of Texas at San Antonio
Address: 126 E Lincoln Avenue, Rahway, NJ, 07065,
Keywords: dependence ; baseline hazard
Abstract:

The univariate shared frailty models have several drawbacks. In many applications, the situation arises where the subjects in the same group possess different frailty random components rather than sharing similar frailty components within the group. The notion of multivariate frailty enables us to overcome the difficulties of univariate shared frailty models. This presentation proposes bivariate positive stable frailty model to incorporate more heterogeneity than the shared positive stable frailty model. The estimation procedure for bivariate positive stable density is not easy due to lack of closed form of the bivariate positive stable density function. The Bayesian inference for the bivariate positive stable frailty model for multivariate survival data is described here.


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Revised September, 2007