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论文:2024,Vol:42,Issue(3):487-497 |
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引用本文： |
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杨天乐, 李华聪, 符江锋. 自适应Ⅱ型逐步截尾双应力恒加试验统计分析[J]. 西北工业大学学报 |
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YANG Tianle, LI Huacong, FU Jiangfeng. Statistical analysis of double stress accelerated life testing under adaptive type-Ⅱ progressive censoring[J]. Journal of Northwestern Polytechnical University |
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| 自适应Ⅱ型逐步截尾双应力恒加试验统计分析 |
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| 杨天乐, 李华聪, 符江锋 |
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| 西北工业大学 动力与能源学院, 陕西 西安 710072 |
| 摘要: |
| 针对传统加速寿命试验仅考虑单一加速应力和单一失效模式的问题,研究寿命服从Weibull分布且失效模式相互独立的竞争失效产品,在自适应Ⅱ型逐步截尾下建立双应力恒加试验的统计分析方法。通过Newton-Raphson迭代和渐进似然理论得到未知参数的极大似然估计和渐进置信区间。采用Gibbs抽样与M-H抽样混合算法获得参数的Bayes估计并基于MC方法构建HPD可信区间。数值模拟结果表明所提的方法具有良好的统计推断性能且失效样本数和试验时间对估计效果有显著影响。 |
| 关键词:
加速寿命试验
竞争失效
Weibull分布
极大似然估计
Bayes估计
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| Statistical analysis of double stress accelerated life testing under adaptive type-Ⅱ progressive censoring |
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| YANG Tianle, LI Huacong, FU Jiangfeng |
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| School of Power and Energy, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| Aiming at the traditional accelerated life test only considering the single stress and single failure cause, the inference method of double stress accelerated competing risks data is studied under the adaptive type-Ⅱ progressively censored and the life of test units follow Weibull distribution. The maximum likelihood estimations and the asymptotic confidence intervals of unknown parameters are obtained by using the Newton-Raphson iteration and asymptotic likelihood theory. A Gibbs sampling combining with Metropolis-Hasting algorithm method is developed to obtain Bayes estimations, and the Monte Carlo method is employed to construct the HPD credible intervals. The simulated results show that the present method has good statistical inference performance, meanwhile the failure sample size and the expected experimentation time have significant effect on the estimations. |
| Key words:
accelerated life testing
competing risks
Weibull distribution
maximum likelihood estimation
Bayes estimation
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| 收稿日期: 2023-05-31
修回日期:
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| DOI: 10.1051/jnwpu/20244230487 |
| 基金项目: 国家科技重大专项(J2019-V-0016-0111)资助 |
| 通讯作者: 李华聪(1962—),教授 e-mail:lihuacong@nwpu.edu.cn
Email：lihuacong@nwpu.edu.cn |
| 作者简介: 杨天乐(1998—),硕士研究生
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