ESTIMATION IN CONSTANT-STRESS PARTIALLY ACCELERATED LIFE TESTS FOR BURR TYPE XII USING TAMPERED RANDOM VARIABLE MODEL UNDER UNIFIED HYBRID CENSORING DATA

A. Abd-Elrahman, A. E. Ahmad, Marwa A. Younis
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Abstract

This paper discusses constant stress partially accelerated life tests for unified hybrid censoring data from Burr type XII distribution with a tampered random variable. Both maximum likelihood and Bayesian methods are used to estimate the unknown population parameters and accelerated factor. In order to compute the asymptotic confidence intervals for the maximum likelihood estimators, we first calculate the Fisher information matrix related to the underlying model. On the other hand, Markov Chain Monte Carlo method under squared error loss function is used for obtaining the corresponding Bayesian estimators. In addition, a simulation study is carried out to compare the performances of the resulting estimators.
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统一混合截尾数据下用篡改随机变量模型估计xii型毛刺恒应力部分加速寿命试验
本文讨论了带有篡改随机变量的Burr型12型分布的统一混合截尾数据的恒应力部分加速寿命试验。采用极大似然法和贝叶斯法对未知总体参数和加速因子进行估计。为了计算最大似然估计的渐近置信区间,我们首先计算与底层模型相关的Fisher信息矩阵。另一方面,利用平方误差损失函数下的马尔可夫链蒙特卡罗方法得到相应的贝叶斯估计量。此外,还进行了仿真研究,比较了所得估计器的性能。
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