西北工业大学学报2024,Vol.42Issue(3) :487-497.DOI:10.1051/jnwpu/20244230487

自适应Ⅱ型逐步截尾双应力恒加试验统计分析

Statistical analysis of double stress accelerated life testing under adaptive type-Ⅱ progressive censoring

杨天乐 李华聪 符江锋
西北工业大学学报2024,Vol.42Issue(3) :487-497.DOI:10.1051/jnwpu/20244230487

自适应Ⅱ型逐步截尾双应力恒加试验统计分析

Statistical analysis of double stress accelerated life testing under adaptive type-Ⅱ progressive censoring

杨天乐 1李华聪 1符江锋1
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作者信息

  • 1. 西北工业大学动力与能源学院,陕西西安 710072
  • 折叠

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.

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 pro-gressively 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 as-ymptotic 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.

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

Key words

accelerated life testing/competing risks/Weibull distribution/maximum likelihood estimation/Bayes estimation

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基金项目

国家科技重大专项(J2019-V-0016-0111)

出版年

2024
西北工业大学学报
西北工业大学

西北工业大学学报

CSTPCDCSCD北大核心
影响因子:0.496
ISSN:1000-2758
参考文献量24
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