应力中带有误差的破坏性加速退化试验分析  

Analysis of Destructive Accelerated Degradation Testing under Stresses with Errors

作　　者：张赛茵[1] 张忠占[1] 

机构地区：[1]北京工业大学应用数理学院,北京100124

出　　处：《应用数学学报》2012年第5期829-844,共16页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(10971007);北京市人才强教项目;北京市教委科研计划(00600054K1002);北京工业大学研究生科技基金(ykj-2010-3816)资助项目

摘　　要：退化试验是工业统计中一种常用的可靠性分析方法.本文考虑了在破坏性加速退化试验中,应力带有误差的Berkson测量误差模型,推广了最小距离估计在固定个指示变量的情况,并证明了所得估计的相合性和渐近正态性.模拟结果显示本文的估计方法优于不考虑应力误差的最小二乘估计.In industry, the degradation test is regular used in the analysis of product re- liability. This paper considers accelerated degradation test under stresses with errors, and extends the minimum distance estimation methods to the focused model. Consistency and asymptotic normality of the proposed estimator are obtained. By simulation, the perfor- mance of the estimator is shown better than the least-square estimator, which ignores the random errors of test stresses.

关 键 词：Berkson测量误差 加速退化试验 最小距离估计 退化数据 

分 类 号：O213[理学—概率论与数理统计]