Bayesian analysis of paired survival data using a bivariate exponential distribution |
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Authors: | Jaeyong Lee Jinseog Kim Sin-Ho Jung |
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Affiliation: | (1) Department of Statistics, Seoul National University, Sillimdong Kwanakgu, Seoul, 151-742, Korea;(2) Statistical Research Center for Complex Systems, Seoul National University, Seoul, Korea;(3) Department of Biostatistics and Bioinformatics, Duke University, Durham, NC, USA |
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Abstract: | We consider a Bayesian analysis method of paired survival data using a bivariate exponential model proposed by Moran (1967, Biometrika 54:385–394). Important features of Moran’s model include that the marginal distributions are exponential and the range of the correlation coefficient is between 0 and 1. These contrast with the popular exponential model with gamma frailty. Despite these nice properties, statistical analysis with Moran’s model has been hampered by lack of a closed form likelihood function. In this paper, we introduce a latent variable to circumvent the difficulty in the Bayesian computation. We also consider a model checking procedure using the predictive Bayesian P-value. |
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Keywords: | Moran’ s Model Bayesian P-value Correlation coefficient Markov chain Monte Carlo |
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