当前位置: X-MOL 学术Mathematics › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Accelerated Life Tests under Pareto-IV Lifetime Distribution: Real Data Application and Simulation Study
Mathematics ( IF 2.3 ) Pub Date : 2020-10-15 , DOI: 10.3390/math8101786
A. M. Abd El-Raheem , M. H. Abu-Moussa , Marwa M. Mohie El-Din , E. H. Hafez

In this article, a progressive-stress accelerated life test (ALT) that is based on progressive type-II censoring is studied. The cumulative exposure model is used when the lifetime of test units follows Pareto-IV distribution. Different estimates as the maximum likelihood estimates (MLEs) and Bayes estimates (BEs) for the model parameters are discussed. Bayesian estimates are derived while using the Tierney and Kadane (TK) approximation method and the importance sampling method. The asymptotic and bootstrap confidence intervals (CIs) of the parameters are constructed. A real data set is analyzed in order to clarify the methods proposed through this paper. Two types of the progressive-stress tests, the simple ramp-stress test and multiple ramp-stress test, are compared through the simulation study. Finally, some interesting conclusions are drawn.

中文翻译:

Pareto-IV寿命分布下的加速寿命测试:实际数据应用和模拟研究

在本文中,研究了基于渐进式II型检查的渐进式压力加速寿命测试(ALT)。当测试单元的寿命遵循帕累托-IV分布时,将使用累积暴露模型。讨论了模型参数的最大似然估计(MLE)和贝叶斯估计(BE)的不同估计。使用Tierney and Kadane(TK)近似方法和重要性采样方法得出贝叶斯估计。构造参数的渐近和自举置信区间(CI)。为了阐明本文提出的方法,对真实数据集进行了分析。通过仿真研究比较了两种类型的渐进应力测试,即简单的斜应力测试和多重斜应力测试。最后,得出一些有趣的结论。
更新日期:2020-10-16
down
wechat
bug