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竞争失效产品定数截尾步进应力加速寿命试验的优化设计
引用本文:管强,程依明.竞争失效产品定数截尾步进应力加速寿命试验的优化设计[J].甘肃联合大学学报(自然科学版),2009,23(3).
作者姓名:管强  程依明
作者单位:1. 三明学院,数学与计算机科学系,福建,三明,365004
2. 华东师范大学,金融统计学院,上海,200062
基金项目:国家自然科学基金,福建省自然科学基金 
摘    要:在k 个应力l 个未知参数的加速寿命方程下,以 D-最优和V-最优为准则,解决了指数分布场合p(p≠1)个竞争失效机理产品的定数截尾步进应力加速寿命试验的最优设计问题.本文即可看成是2]和3]的推广, 也可看成是7]的推广.

关 键 词:竞争失效  渐进方差  Fisher  信息量  最优设计  D-最优  V-最优

Optimum of Step-Stress Accelerated Life Tests with Competing Causes of Failure under Exponential Distribution
GUAN Qiang,CHENG Yi-ming.Optimum of Step-Stress Accelerated Life Tests with Competing Causes of Failure under Exponential Distribution[J].Journal of Gansu Lianhe University :Natural Sciences,2009,23(3).
Authors:GUAN Qiang  CHENG Yi-ming
Institution:1.Department of Mathematics and Computer Science;Sanming University;sanming 365004;China;2.School of Fiance and Statistics;East Chian normal University;shanghai 200062;China
Abstract:In this paper,given the accelerated equation of k-stress with l-unknown parameters,the optimal designs of the accelerated life tests of type I with competing causes of failure,which life of each failure cause is assumed to be exponential.We obtain the optimum test designs according to D-optimal and V-optimal.We generalize a number of results,which are shown in other papers7]ago.
Keywords:competing causes of failure  asymptotic variance  Fisher information matrix  optimal design  D-optimal  V-optimal  
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