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Journal of the American Statistical Association Volume 88, 1993 - Issue 424
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Theory and Method

Bayesian Analysis for the Poly-Weibull Distribution

James O. Berger Purdue University, West Lafayette, IN, 47907
&
Dongchu Sun Department of Statistics, University of Missouri, Columbia, MO, 65211
Pages 1412-1418 | Received 01 Dec 1991, Published online: 27 Feb 2012
 
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Abstract

In this article Bayesian analysis for a Poly-Weibull distribution using informative priors is discussed. This distribution typically arises when the data is the minimum of several Weibull failure times from competing risks. To perform the Bayesian computations, simulation using the Gibbs sampler is suggested. This can be used to find posterior moments, the marginal posterior probability density function, and the predictive risk or reliability.

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