| 加速方程有偏场合下加速寿命试验的稳健设计 |
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| 引用本文： | 周晓东,汤银才.加速方程有偏场合下加速寿命试验的稳健设计[J].数理统计与管理,2010,29(3). |
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| 作者姓名： | 周晓东 汤银才 |
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| 作者单位： | 1. 上海对外贸易学院商务信息学院,上海,201620
2. 华东师范大学统计系,上海,200062 |
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| 基金项目： | 国家自然科学基金(10571057); 上海市教委科研创新重点项目(B-5902-07-004); 上海市教委基金(06MS009、CL200517); 上海市重点学科(T0401); 2007年度市教委重点课程(5Z1206); 2009年度统计学专业建设(5Z1501) |
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| 摘 要： | 考虑在加速寿命试验中,当假定的加速模型不是转化应力的线性模型时,模型参数的极大似然估计的近似分布。研究在一定的条件下,获得正常应力下寿命分布的p分位寿命估计的最优稳健设计方法。并通过数值例子说明方法的有效性。
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| 关 键 词： | 指数分布 渐近偏差 渐近方差 极大似然估计 最优稳健设计 定时截尾 |
Robust Designs for Accelerated Life Test with Uncertain Stress-Life Relationship |
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| ZHOU Xiao-dong,TANG Yin-cai.Robust Designs for Accelerated Life Test with Uncertain Stress-Life Relationship[J].Application of Statistics and Management,2010,29(3). |
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| Authors: | ZHOU Xiao-dong TANG Yin-cai |
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| Institution: | ZHOU Xiao-dong~1 TANG Yin-cai~2 (1.International Business , Information School,Shanghai Institute of Foreign Trade,Shanghai 201620,China,2.Department of Statistics,East China Normal University,Shanghai 200062,China) |
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| Abstract: | This article discusses methodology for deriving the asymptotic distribution of maximum like-lihood estimators of model parameters in accelerated life tests when the form of the stress-life relationship is not linear.Under some given conditions,the robust designs are obtained for estimating the p-quantile at use conditions.A numerical simulation is also given to show that the proposed method is efficient. |
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| Keywords: | exponential distribution asymptotic bias asymptotic variance maximum likelihood estimation optimal test plan time failing censoring |
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