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首页> 外文期刊>Mathematical Problems in Engineering: Theory, Methods and Applications >A Nonconstant Shape Parameter-Dependent Competing Risks’ Model in Accelerate Life Test Based on Adaptive Type-II Progressive Hybrid Censoring
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A Nonconstant Shape Parameter-Dependent Competing Risks’ Model in Accelerate Life Test Based on Adaptive Type-II Progressive Hybrid Censoring

机译：基于自适应TIES-II逐步混合审查的加速寿命试验中的非合作形状参数依赖性竞争风险

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摘要

In this paper, the dependent competing risks’ model is considered in the constant-stress accelerated life test under the adaptive type-II progressive hybrid-censored scheme. The dependency between failure causes is modeled by Marshall–Olkin bivariate Gompertz distribution. The scale and shape parameters in the model both change with the stress levels, and the failure causes of some test units are unknown. Then, the maximum likelihood estimations and approximation confidence intervals of the unknown parameters are considered. And, the necessary and sufficient condition is established for the existence and uniqueness of the maximum likelihood estimations for unknown parameters. The Bayes approach is also employed to estimate the unknown parameters under suitable prior distributions. The Bayes estimations and highest posterior credible intervals of the unknown parameters are obtained. Finally, a simulation experiment has been performed to illustrate the methods proposed in this paper.
机译：在本文中，在自适应II型逐步杂交方案下，考虑了依赖竞争风险的模型在恒压加速寿命试验中。 故障原因之间的依赖性由Marshall-Olkin Bivariate Gompertz分布建模。 模型中的比例和形状参数都与应力级别的变化，一些测试单元的故障原因未知。 然后，考虑未知参数的最大似然估计和近似置信间隔。 并且，为未知参数的最大可能性估计的存在和唯一性建立了必要和充分的条件。 贝叶斯方法也用于估计合适的先前分布下的未知参数。 获得未知参数的贝叶估计和最高后验证间隔。 最后，已经进行了模拟实验以说明本文提出的方法。

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