成败型试验中无失效数据的多层Bayes分析

Hierarchical Bayesian Analysis for the Success-and-failure Test with Zero-failure Data

在有些情况下,很难确定产品的寿命类型,有时虽然产品的寿命分布类型已知,但获得的仅仅是失效个数,而无精确的失效时间,特别是在高可靠定时截尾寿命试验中,经常出现无失效,即失效个数为0的情况.对于此种无失效数据的可靠度,在可靠度的先验分布为负对数伽玛分布时给出了它的Bayes、多层Bayes估计,最后给出了实际应用实例。

In some case, it is hard to assure the distribution of product＇ s life, and even if it knows the class of distribution, it can only attain the number of failure data, for the precise failure time, it still doesn＇ t know. in particular in the high reliability timing censored lifetime test, the zero - failure data often occurs. It discusses the reliability of the case, and attains the Bayesian estimation and hierarchical Bayesian estimation of reliability under the prior distribu- tion of negative log - Gamma distribution. Finally, a practical example is given.