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Bayesian analysis for the poly-Weibull distribution. (English) Zbl 0792.62020
Summary: 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.

MSC:
62F15Bayesian inference
62N05Reliability and life testing (survival analysis)
62P10Applications of statistics to biology and medical sciences