| 指数分布场合下双应力步加试验的设计 |
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| 引用本文： | 徐海燕,费鹤良.指数分布场合下双应力步加试验的设计[J].应用概率统计,2008,24(2):217-224. |
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| 作者姓名： | 徐海燕 费鹤良 |
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| 作者单位： | 上海师范大学数理信息学院,上海,200234 |
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| 基金项目： | 上海市教育发展基金会资助项目
,
上海市重点学科建设项目
,
国家自然科学基金
,
上海市科委资助项目
,
上海市教委资助项目 |
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| 摘 要： | 本文利用指数分布场合下双应力无交互作用时定时步进应力加速寿命试验~(简称步加试验) 的非退化试验设计与退化试验设计的关系,将双应力试验设计转化成单应力试验设计, 在``使得工作应力下产品对数分位寿命的极大似然估计的渐近方差最小'的最优准则下, 给出双应力无交互作用时定时步加试验的设计方法, 同时证明该设计也是D-最优的.
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| 关 键 词： | 指数分布 步加试验 最优设计. |
| 修稿时间： | 2006年3月1日 |
Planning Step-Stress Accelerated Life Tests with Two Experimental Factors for Exponential Distributions and Type I Censoring |
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| XU HAIYAN,FEI HELIANG.Planning Step-Stress Accelerated Life Tests with Two Experimental Factors for Exponential Distributions and Type I Censoring[J].Chinese Journal of Applied Probability and Statisties,2008,24(2):217-224. |
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| Authors: | XU HAIYAN FEI HELIANG |
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| Institution: | College of Mathematics and Sciences, Shanghai Normal University |
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| Abstract: | In this article, according to the optimal criterion of minimizing the asymptotic variance of the maximum likelihood estimation of the logarithm of the 100$p$th-percentile in the lower tail of the failure-time distribution at work conditions, methods and guidelines are given for planning two-factor time step-stressaccelerated life test experiments (ALT) for models in which there is no interaction between the factors when life-time of the tested products is exponential distributed at constant testing conditions. The design given here is also proved to be D-optimal. |
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| Keywords: | Exponential distribution step-stress ALT optimal design |
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