郭恒晖,李传日,庞月婵,王开山.基于极大似然估计的加速因子计算方法[J].装备环境工程,2014,11(5):49-53. GUO Heng-hui,LI Chuan-ri,PANG Yue-chan,WANG Kai-shan.Calculation of Acceleration Factor Based on Maximum Likelihood Estimation[J].Equipment Environmental Engineering,2014,11(5):49-53. |
基于极大似然估计的加速因子计算方法 |
Calculation of Acceleration Factor Based on Maximum Likelihood Estimation |
投稿时间:2014-05-14 修订日期:2014-05-25 |
DOI:10. 7643 /issn. 1672-9242. 2014. 05. 010 |
中文关键词: 步加试验 条件概率 极大似然估计 加速因 子 |
英文关键词:step-stress accelerated life testing conditional probability maximum likelihood estimation acceleration factor |
基金项目: |
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Author | Institution |
GUO Heng-hui | Reliability and System Engineering Institute, Beihang University, Beijing 100191, China |
LI Chuan-ri | Reliability and System Engineering Institute, Beihang University, Beijing 100191, China |
PANG Yue-chan | Reliability and System Engineering Institute, Beihang University, Beijing 100191, China |
WANG Kai-shan | Reliability and System Engineering Institute, Beihang University, Beijing 100191, China |
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中文摘要: |
目 的 在产品寿命服从参数未知指数分布的情况下, 分析定时转换步加试验得到 的数据,估算相关的加速因 子。 方法 列 出 各应力下的寿命分布密度函数形式, 通过加速因 子建立各分布密度函数之间 的联系, 以条件概率的 方式处理步加试验每一阶段开始时的 累 积损伤问 题, 以 极大似然估计的方法进行参数估计。 结果 得出 了 一种新的估算加速因 子的方法, 计算获得了 产品在所分析应力下加速因 子与 应力水平之间 的 关系。 结论 利 用 该方法能很好地处理某应力 下无失效发生的情况。 |
英文摘要: |
Objective To estimate the associated acceleration factor by analyzing the Trial data of step-stress accelerated life tests ( SSALT) with Type-I censored data, assuming the lifetime of products followed exponential distribution. Methods Lifetime distribution density functions under different stresses were listed. Linkages were established between the distribution density functions by acceleration factors ( AF) . And then conditional probability distribution was used to deal with the problem of cumulative damage at the beginning of each stage by stepwise analysis of the testing. The AFs were estimated by maximum likelihood estimation. Results The paper offered a new method to deal with the cumulative damage. The relationship between AFs and stress levels under the tested stress was calculated. Conclusion It is a feasible method to cater the situation that no failure occurs under certain stress. |
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