Bayesian Transformation Models for Multivariate Survival Data

Mário Castro, Ming-Hui Chen, Joseph G. Ibrahim and John P. Klein

Scandinavian Journal of Statistics, 2014, vol. 41, issue 1, 187-199

Abstract: type="main" xml:id="sjos12010-abs-0001"> In this paper, we propose a general class of Gamma frailty transformation models for multivariate survival data. The transformation class includes the commonly used proportional hazards and proportional odds models. The proposed class also includes a family of cure rate models. Under an improper prior for the parameters, we establish propriety of the posterior distribution. A novel Gibbs sampling algorithm is developed for sampling from the observed data posterior distribution. A simulation study is conducted to examine the properties of the proposed methodology. An application to a data set from a cord blood transplantation study is also reported.

Date: 2014
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