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Gompertz分布TFR模型多步步进应力加速寿命试验的统计分析
引用本文:王蓉华,徐晓岭,施宏伟.Gompertz分布TFR模型多步步进应力加速寿命试验的统计分析[J].应用概率统计,2009,25(1):47-59.
作者姓名:王蓉华  徐晓岭  施宏伟
作者单位:1. 上海师范大学数理信息学院,上海,200234
2. 上海对外贸易学院商务信息学院,上海,201600
3. 上海交通大学数学系,上海,200240
基金项目:上海市教育委员会资助项目,上海市重点学科建设项目,国家自然科学基金,科学计算上海高校重点实验室、上海市科委科技项目,市教委重点课程建设项目,统计学专业建设项目 
摘    要:本文给出了Gompertz分布产品的多步步加试验损伤失效率模型下参数的极大似然估计和拟矩估计, 最后通过模拟例子说明本文方法是可行的. 另外, 本文还给出了参数的区间估计.

关 键 词:Gompertz分布  多步步加试验损伤失效率模型  极大似然估计  拟矩估计  区间估计.

The Statistical Analysis of Gompertz Distribution Based on Tampered Failure Rate Model under Multi-step Stress Accelerated Life Testing
WANG Ronghua,Xu Xiaoling,SHI Hongwei.The Statistical Analysis of Gompertz Distribution Based on Tampered Failure Rate Model under Multi-step Stress Accelerated Life Testing[J].Chinese Journal of Applied Probability and Statisties,2009,25(1):47-59.
Authors:WANG Ronghua  Xu Xiaoling  SHI Hongwei
Institution:College of Mathematical Sciences, Shanghai Teachers University;Business Information Management School, Shanghai Institute of Foreign Trade;Mathematics Department, Shanghai Jiao Tong University
Abstract:We get the maximum likelihood estimator and simulated moment estimator of Gompertz distribution based on tampered failure rate model under multi-step stress accelerated life testing. Afterwards we show the feasibility of our method through simulation examples. Finally, the interval estimators of parameters are obtained as well in the present paper.
Keywords:Gompertz distribution  tampered failure rate model under multi-step stress  maximum likelihood estimator  simulated moment estimator  interval estimator  
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