变点模型下Weibull分布恒加试验的Bayes分析

黄月兰,汤银才

系统科学与数学 ›› 2013, Vol. 33 ›› Issue (9) : 1105-1112.

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系统科学与数学 ›› 2013, Vol. 33 ›› Issue (9) : 1105-1112. DOI: 10.12341/jssms12174
论文

变点模型下Weibull分布恒加试验的Bayes分析

    黄月兰1,汤银才2
作者信息 +

BAYESIAN ANALYSIS OF CONSTANT-STRESS ACCELERATED LIFE TESTING OF WEIBULL DISTRIBUTIONS WITH A CHANGE POINT

    HUANG Yuelan1 , TANG Yincai2
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文章历史 +

摘要

加速寿命试验是一种极为有效而经济的寿命试验方法,其理论日趋成熟, 在实践中开始得到应用和推行.文章给出了失效机理产生突变的Weibull分布定时和定数场合恒定应力加速寿命试验的Bayes 分析, 并利用Gibbs 抽样方法和MH算法解决了分布的形状参数取为连续先验时各参数的Bayes 估计.模拟结果表明, 文中所建立的模型及所用的方法是有效和优良的.

Abstract

Accelerated life test is a very effective and economical way of  life tests. This paper gives a Bayesian statistical analysis of Weibull  constant-stress ccelerate life test,  when there is sudden change of failure mechanism.  The Bayesian estimation   is given based on the Gibbs sampling technique and MH algorithm. The simulation result shows that the model and the method proposed is efficient and well-behaved.

关键词

恒加寿命试验 / 变点 / Gibbs抽样 / MH 算法 / Bayes 分析.

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黄月兰,汤银才. 变点模型下Weibull分布恒加试验的Bayes分析. 系统科学与数学, 2013, 33(9): 1105-1112. https://doi.org/10.12341/jssms12174
HUANG Yuelan , TANG Yincai. BAYESIAN ANALYSIS OF CONSTANT-STRESS ACCELERATED LIFE TESTING OF WEIBULL DISTRIBUTIONS WITH A CHANGE POINT. Journal of Systems Science and Mathematical Sciences, 2013, 33(9): 1105-1112 https://doi.org/10.12341/jssms12174
中图分类号: 62N05   
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