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Statistical inference on accelerated life testing with dependent competing failure model under progressively type‐II censored data based on copula theory
Quality and Reliability Engineering International ( IF 2.2 ) Pub Date : 2020-11-21 , DOI: 10.1002/qre.2803
Ying Wang 1 , Zaizai Yan 1
Affiliation  

In this paper, we discuss the statistical analysis of a constant‐stress accelerated dependent competing failure model under progressively type‐II censoring based on a copula function. The dependence structure of lifetimes is constructed when the copula is a bivariate Clayton copula. The maximum likelihood estimations (MLEs) of the model parameters are derived. We also get the coverage probability of the 95% confidence intervals of the parameters based on MLEs and bootstrap confidence intervals. Finally, a real data set of some insulation system for electric motors was demonstrated for illustrative purpose.

中文翻译:

基于copula理论的II型渐进式删失数据下具有相关竞争失效模型的加速寿命测试的统计推断

在本文中,我们讨论了基于copula函数的渐进式II型审查下恒应力加速依赖竞争失败模型的统计分析。当copula是二元Clayton copula时,就构造了寿命的依存结构。推导了模型参数的最大似然估计(MLE)。我们还基于MLE和自举置信区间获得了参数的95%置信区间的覆盖概率。最后,出于说明目的,演示了一些电动机绝缘系统的真实数据集。
更新日期:2020-11-21
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