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成败型产品可靠性评估的Bayes修正幂验前方法
引用本文:杨华波,张士峰,蔡洪.成败型产品可靠性评估的Bayes修正幂验前方法[J].固体火箭技术,2009,32(2).
作者姓名:杨华波  张士峰  蔡洪
作者单位:国防科技大学航天与材料工程学院,长沙,410073
摘    要:如何合理有效地利用验前信息,是Bayes评定的关键问题.针对小子样成败型产品的可靠性评估,引入修正幂验前分布控制验前信息对验后估计的影响,详细推导了Bayes修正幂验前下的成败型产品可靠性参数验后密度函数.通过时参数验后估计的分析,该方法能有效避免验前信息"淹没"现场信息的问题,而幂参数通过验后边缘分布得到.通过对验后估计MSE的分析,给出了验前信息利用的一些基本原则,为工程应用提供了指导.

关 键 词:可靠性评估  成败型  Bayes方法  修正幂验前分布

Bayesian modified power prior approach for product reliability assessment with only safe-or-failure pattern
YANG Hua-bo,ZHANG Shi-feng,CAI Hong.Bayesian modified power prior approach for product reliability assessment with only safe-or-failure pattern[J].Journal of Solid Rocket Technology,2009,32(2).
Authors:YANG Hua-bo  ZHANG Shi-feng  CAI Hong
Institution:YANG Hua-bo,ZHANG Shi-feng,CAI Hong (College of Aerospace and Material Engineering,National University of Defense Technology,Changsha 410073,China)
Abstract:How to use prior information effectively and reasonably in Bayesian method is a critical problem in small sample evaluation. For evaluation of product reliability with only safe-or-failure pattern,the power prior parameter is introduced to control the effect of the prior information acting on the post estimation,and post density function of reliability panameter by Bayesian method deduced detailedly based on the modified power prior distribution.By using the new method,the scene that the prior data inundate...
Keywords:reliability assessment  safe-or-failure pattern  Bayesian method  modified power prior  
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