Compound negative binomial shared frailty models for bivariate survival data

David D. Hanagal and Alok D. Dabade

Statistics & Probability Letters, 2013, vol. 83, issue 11, 2507-2515

Abstract: In this paper, we introduce a new shared frailty model called the compound negative binomial shared frailty model with three different baseline distributions namely, Weibull, generalized exponential and exponential power distribution. To estimate the parameters involved in these models we adopt Markov Chain Monte Carlo (MCMC) approach. Also we apply these three models to a real life bivariate survival data set of McGrilchrist and Aisbett (1991) related to kidney infection and suggest a better model for the data.

Keywords: Bayesian model comparison; Compound negative binomial distribution; Exponential power distribution; Generalized exponential distribution; Shared frailty; Weibull distribution (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1016/j.spl.2013.07.005

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