Multivariate Survival Analysis with Positive Stable Frailties | Zendy

Qiou Zuqiang | Zendy; Ravishanker Nalini | Zendy; Dey Dipak K. | Zendy

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Multivariate Survival Analysis with Positive Stable Frailties

Author(s) -

Qiou Zuqiang,

Ravishanker Nalini,

Dey Dipak K.

Publication year - 1999

Publication title -

biometrics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.298

H-Index - 130

eISSN - 1541-0420

pISSN - 0006-341X

DOI - 10.1111/j.0006-341x.1999.00637.x

Subject(s) - multivariate statistics , gibbs sampling , statistics , proportional hazards model , mathematics , multivariate analysis , bayesian probability , piecewise , econometrics , mathematical analysis

Summary. In this paper, we describe Bayesian modeling of dependent multivariate survival data using positive stable frailty distributions. A flexible baseline hazard formulation using a piecewise exponential model with a correlated prior process is used. The estimation of the stable law parameter together with the parameters of the (conditional) proportional hazards model is facilitated by a modified Gibbs sampling procedure. The methodology is illustrated on kidney infection data (McGilchrist and Aisbett, 1991).

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