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| Gompertz分布TFR模型简单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,刘皓宇,吴生荣.Gompertz分布TFR模型简单步进应力加速寿命试验的统计分析[J].上海师范大学学报(自然科学版),2007,36(3):23-29. |
| 作者姓名： | 王蓉华 徐晓岭 刘皓宇 吴生荣 |
| 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,国际经贸学院,上海,201600 3. 上海交通大学,数学系,上海,200240 4. 宜兴出入境检验检疫局,宜兴,214266 |
| 基金项目： | 上海市教委资助项目;上海市重点学科建设项目;国家自然科学基金 |
| 摘 要： | 给出了Gompertz分布产品的简单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，并通过模拟例子说明该方法是可行的．另外，还给出了参数的区间估计． |
| 关 键 词： | Gompertz分布 简单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 |
| 文章编号： | 1000-5137（2007）03-0023-07 |
| 修稿时间： | 2006-09-05 |
The statistical analysis of Gompertz distribution based on tampered failure rate model under simple step stress accelerated life testing |
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| WANG Rong-hua,XU Xiao-ling,LIU Hao-yu,WU Sheng-rong.The statistical analysis of Gompertz distribution based on tampered failure rate model under simple step stress accelerated life testing[J].Journal of Shanghai Normal University(Natural Sciences),2007,36(3):23-29. | |
| Authors: | WANG Rong-hua XU Xiao-ling LIU Hao-yu WU Sheng-rong |
| Institution: | 1. College of Mathematics and Sciences, Shanghai Normal University, Shanghai 200234, China; 2. Shanghai Institute of Foreign Trade, International Business College, Shanghai 201600, China; 3. Mathematics department, Shanghai JiaoTong University, Shanghai 200240, China ; 4. Yixing Import and Export Inspection and Quarantine Bureau, Yixing 214266, China |
| Abstract: | We get the maximum likelihood estimator and inverse moment estimator of parameters of Gompertz distribution based on tampered failure rate model under simple 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 simple step stress maximum likelihood estimator inverse moment estimator interval estimator |
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