基于广义逆理论的步进应力加速寿命试验的最优设计
    点此下载全文
引用本文:唐茂钢1,程依明2,胡凤霞3.基于广义逆理论的步进应力加速寿命试验的最优设计[J].经济数学,2015,(2):52-59
摘要点击次数: 853
全文下载次数: 71
作者单位
唐茂钢1,程依明2,胡凤霞3 (1.上海财经大学 公共经济与管理学院,上海2004332.华东师范大学 金融与统计学院上海2002413.上海立信会计学院 数学与信息学院上海201620) 
中文摘要:步进应力加速寿命试验的最优设计问题早在20世纪60年代就已提出.本文在应力个数和未知参数个数不相等的情况下,以MLE渐近方差最小为准则,运用广义加号逆的理论,解决指数分布时定数截尾寿命试验和定时截尾寿命试验的最优设计问题.通过理论推导,得出定数截尾寿命试验时的不同应力下失效产品数的安排,以及定时截尾寿命试验时的最优应力变换点.并且,对每一种情况进行了数据模拟,结果显示,这些理论和方法在实际运用中是可行的和有效的.
中文关键词:步加试验  最优设计  广义加号逆  渐近方差
 
Optimal Design of Step-Stress Accelerated Life Test on the Theory of Generalized Inverse Theory
Abstract:The problem of optimal design for step-stress accelerated life test has been proposed since the 60s of the twentieth century. By using the method of generalized inverse matrix of positive sign and based on the minimum of asymptotic variance of MLE, this paper solved the optimum design of censored life test and type-I life test under exponential distribution when the number of stress and parameter is not equal. We obtained the arrangement of failure product for censored life test and the optimal transfer time for type-I life test. And, we conducted the data simulation for each condition. It shows that the results and methods are feasible and effective in practice.
keywords:step-stress accelerated life test  optimal design  generalized inverse matrix of positive sign  asymptotic variance
查看全文   查看/发表评论   下载pdf阅读器