ABSTRACT

In this article, we mainly focus on the meta-analysis of several simple step-stress experimental data sets. It is assumed that independent data sets are obtained from s simple step-stress experiments. It is further assumed that the lifetime of the experimental units follow two parameter Weibull distribution with different shape and scale parameters at different stress levels. The classical and Bayesian inference of the model parameters have been provided. Since the closed-form solution of maximum-likelihood estimators of the model parameters do not exist, asymptotic properties of the estimators have been used to construct confidence intervals. On the other hand, Gibbs sampling technique has been used to obtain the Bayes estimates and the associated credible intervals of the model parameters. Extensive simulation experiments have been performed to assess the performance of the proposed methods, and the analyses of two data sets have been presented for illustrative purpose.

摘要

在本文中，我们主要关注几个简单的阶跃应力实验数据集的荟萃分析。假设独立的数据集是从s获得的简单的阶跃应力实验。进一步假设实验单元的寿命遵循在不同应力水平下具有不同形状和尺度参数的两个参数威布尔分布。提供了模型参数的经典和贝叶斯推理。由于模型参数的最大似然估计量的闭式解不存在，估计量的渐近特性已被用于构建置信区间。另一方面，吉布斯抽样技术已被用于获得贝叶斯估计和模型参数的相关可信区间。已经进行了广泛的模拟实验来评估所提出方法的性能，并且为了说明目的，已经提出了对两个数据集的分析。