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Estimations of parameters in Pareto reliability model in the presence of masked data

机译：存在屏蔽数据的情况下帕累托可靠性模型中参数的估计

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摘要

Estimations of parameters included in the individual distributions of the life times of system components in a series system are considered in this paper based on masked system life test data. We consider a series system of two independent components each has a Pareto distributed lifetime. The maximum likelihood and Bayes estimators for the parameters and the values of the reliability of the system's components at a specific time are obtained. Symmetrical triangular prior distributions are assumed for the unknown parameters to be estimated in obtaining the Bayes estimators of these parameters. Large simulation studies are done in order: (ⅰ) explain how one can utilize the theoretical results obtained; (ⅱ) compare the maximum likelihood and Bayes estimates obtained of the underlying parameters; and (ⅲ) study the influence of the masking level and the sample size on the accuracy of the estimates obtained.
机译：本文基于屏蔽的系统寿命测试数据，考虑了串联系统中系统组件寿命的各个分布中包含的参数的估计。我们考虑一个由两个独立组件组成的串联系统，每个组件具有帕累托分布寿命。获得在特定时间的参数的最大似然和贝叶斯估计器以及系统组件的可靠性值。对于未知参数，假设对称三角先验分布，以便在获得这些参数的贝叶斯估计量时对其进行估计。进行大型仿真研究的顺序如下：（ⅰ）解释如何利用所获得的理论结果； （ⅱ）比较基本参数的最大似然和贝叶斯估计； （ⅲ）研究掩蔽水平和样本量对获得的估计准确性的影响。

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