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首页> 外文期刊>Proceedings of the Institution of Mechanical Engineers, Part O. Journal of Risk and Reliability >The copula-based method for statistical analysis of step-stress accelerated life test with dependent competing failure modes
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The copula-based method for statistical analysis of step-stress accelerated life test with dependent competing failure modes

机译:基于Copula的统计分析方法,依赖竞争失败模式

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摘要

Competing risk usually exists in engineering applications; thus, the study of the statistical inference of accelerated life testing with competing failure modes is of great significance. In this article, we address the statistical analysis of a step-stress accelerated life test in the presence of dependent competing failure modes. The dependence structure among distributions of lifetimes is constructed by copula function with unknown copula parameter. The parametric maximum likelihood estimation is developed to obtain the estimates of underlying parameters. The asymptotic standard errors and asymptotic confidence interval of estimates are also obtained by missing information principle. An extensive simulation study and a real data analysis are carried out to observe the performance of the proposed method. The results of the case studies show that our proposed method is valid and effective for the statistical analysis of step-stress accelerated life test with dependent competing failure modes.
机译:竞争风险通常存在于工程应用中;因此,使用竞争失效模式的加速寿命测试的统计推理研究具有重要意义。在本文中,我们解决了依赖竞争失败模式存在下阶梯压力加速寿命测试的统计分析。寿命分布之间的依赖性结构由Copula功能构成,具有未知的Copula参数。开发了参数最大似然估计以获得基础参数的估计。估计的渐近标准误差和渐近置信区间也通过缺少信息原理获得。进行了广泛的模拟研究和实际数据分析,以观察所提出的方法的性能。案例研究的结果表明,我们的提出方法对依赖竞争失败模式的阶梯应力加速寿命测试有效,有效。

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