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Zbl 0792.62020
Berger, James O.; Sun, Dongchu
Bayesian analysis for the poly-Weibull distribution. (English)
[J] J. Am. Stat. Assoc. 88, No.424, 1412-1418 (1993). ISSN 0162-1459; ISSN 1537-274X/e

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 2000:: *62F15 Bayesian inference
62N05 Reliability, etc. (statistics)
62P10 Appl. of statistics to biology

Keywords: bi-Weibull distribution; log-concave densities; analysis of lifetime data; survival analysis; poly-Weibull distribution; informative priors; Weibull failure times; competing risks; simulation; Gibbs sampler; posterior moments; marginal posterior probability density function; predictive risk; reliability

Cited in: Zbl 1072.62540

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