BAYESIAN-ANALYSIS FOR THE POLY-WEIBULL DISTRIBUTION

BAYESIAN-ANALYSIS FOR THE POLY-WEIBULL DISTRIBUTION
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DOI:
10.2307/2291285
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发表时间:
1993-12-01
影响因子:
3.7
通讯作者:
SUN, DC
SUN, DC
中科院分区:
数学1区
文献类型:
--
作者:
BERGER, JO;SUN, DC

文献摘要

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本文讨论了使用信息先验对 Poly-Weibull 分布进行贝叶斯分析。当数据是来自竞争风险的几个威布尔失效时间的最小值时,通常会出现这种分布。为了执行贝叶斯计算,建议使用吉布斯采样器进行模拟。这可用于查找后验矩、边际后验概率密度函数以及预测风险或可靠性。
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.