| 累积损伤模型下Lomax分布产品循环序进应力加速寿命试验的可靠性统计分析 |
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| 引用本文： | 和阳,王蓉华,徐晓岭. 累积损伤模型下Lomax分布产品循环序进应力加速寿命试验的可靠性统计分析[J]. 上海师范大学学报(自然科学版), 2018, 47(5): 513-518 |
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| 作者姓名： | 和阳 王蓉华 徐晓岭 |
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| 作者单位： | 上海师范大学 数理学院, 上海 200234,上海师范大学 数理学院, 上海 200234,上海对外经贸大学 统计与信息学院, 上海 201600 |
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| 基金项目： | 国家自然科学基金（11671264） |
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| 摘 要： | 基于累积损伤模型,讨论了Lomax分布产品在循环序进应力加速寿命试验下的失效模式,结合极大似然估计和线性回归给出了参数的估计方法,并用Monte-Carlo法模拟数据,计算参数的估计值.
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| 关 键 词： | Lomax分布 循环序进应力 累积损伤模型 极大似然 线性回归 Monte-Carlo模拟 |
| 收稿时间： | 2017-04-26 |
The failure mode of cyclic progressive stress accelerated life testing for Lomax distribution based on cumulative exposure model |
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| HE Yang,WANG Ronghua and XU Xiaoling. The failure mode of cyclic progressive stress accelerated life testing for Lomax distribution based on cumulative exposure model[J]. Journal of Shanghai Normal University(Natural Sciences), 2018, 47(5): 513-518 |
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| Authors: | HE Yang WANG Ronghua XU Xiaoling |
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| Affiliation: | Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China,Mathematics and Science College, Shanghai Normal University, Shanghai 200234, China and School of Statistics and Information, Shanghai University of International Business and Economics, Shanghai 201620, China |
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| Abstract: | Based on cumulative exposure model, this paper discusses the failure mode of cyclic progressive stress accelerated life testing for Lomax distribution, and discusses the estimation method of parameter by the maximum likelihood estimation and liner egression method. In the end, we produce samples by the Monte-Carlo method, and calculate the estimations of parameters. |
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| Keywords: | Lomax distribution cyclic progressive stress cumulative exposure model maximum likelihood liner regression Monte-Carlo simulation |
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