广西师范大学学报（自然科学版） ›› 2025, Vol. 43 ›› Issue (4): 129-139.doi: 10.16088/j.issn.1001-6600.2024061502

• 数学与统计学 • 上一篇    下一篇

相依竞争风险下部分加速寿命试验的统计分析

赵雨洁, 冶继民*   

  1. 西安电子科技大学 数学与统计学院, 陕西 西安 710126
  • 收稿日期:2024-06-15 修回日期:2024-08-27 出版日期:2025-07-05 发布日期:2025-07-14
  • 通讯作者: 冶继民(1967—),男,陕西宝鸡人,西安电子科技大学教授,博士。E-mail:jmye@mail.xidian.edu.cn
  • 基金资助:
    国家自然科学基金(12272283)

Statistical Analysis of Partially Accelerated Life Tests under Dependent Competing Risks

ZHAO Yujie, YE Jimin*   

  1. School of Mathematics and Statistics, Xidian University, Xi’an Shaanxi 710126, China
  • Received:2024-06-15 Revised:2024-08-27 Online:2025-07-05 Published:2025-07-14

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摘要： 本文在采用逐步Ⅰ型混合截尾(type-Ⅰ progressive hybrid censoring, Type-Ⅰ PHC)方案的步进应力部分加速寿命试验(step-stress partially accelerated life test, SSPALT)下,研究屏蔽数据相依串联两部件系统的统计推断。当部件寿命服从指数分布时,利用损伤随机变量(TRV)模型和Copula函数构建相依竞争风险模型;然后,基于极大似然理论,建立未知参数的极大似然估计,并通过渐近似然理论和Bootstrap抽样方法给出参数相应的置信区间估计;最后,运用蒙特卡罗模拟验证所提估计方法的可行性。结果表明,该模型方法对相依屏蔽数据系统的可靠性分析可行、有效。

关键词: 加速寿命试验, 相依竞争风险, Copula函数, 屏蔽数据, TRV模型

Abstract: In the step stress partially accelerated life test (SSPALT) with Type-I progressive hybrid censoring (Type-I PHC) scheme, the statistical inference of a dependent two component system with masked data are studied. When the component life follows exponential distribution, the tampered random variable (TRV) model and copula function are used to construct the dependent competing risks model. Based on the maximum likelihood theory, the maximum likelihood of unknown parameters is established, and the corresponding confidence interval estimation of the parameters is provided through asymptotic likelihood theory and bootstrap method. Finally, the feasibility of the proposed estimation method is verified by Monte-Carlo method. The results show that the method is feasible and effective for reliability analysis of dependent masked data systems.

Key words: accelerated life tests, competing risks model, copula function, masked data, tampered random variable model

中图分类号:  O213.2

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