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Bayesian Estimation of Constant-Stress Life Test Model Using Type-I Censored Data from the Linear Failure Rate Distribution
Strength of Materials ( IF 0.7 ) Pub Date : 2020-04-27 , DOI: 10.1007/s11223-020-00162-1
Ali A. Ismail , M. M. Al-Harbi

This paper considers both likelihood and Bayesian estimations of a constant-stress partially accelerated life test model with type-I censored data from the linear failure rate distribution. The maximum likelihood estimates of the model parameters are obtained using Newton–Raphson technique. The posterior means and posterior variances are obtained under the squared error loss function using Lindley’s approximation procedure. The advantages of this approximation are exposed. Monte Carlo simulations are prepared under different sizes of samples and different parameter values for comparing and evaluating the proposed methods of estimation.

中文翻译:

使用线性失效率分布的I类删失数据对恒应力寿命测试模型进行贝叶斯估计

本文考虑了线性失效率分布的具有I型删失数据的恒应力部分加速寿命试验模型的似然估计和贝叶斯估计。使用牛顿-拉夫森技术获得模型参数的最大似然估计。使用Lindley逼近程序在平方误差损失函数下获得后均值和后方差。这种近似的优点是显而易见的。在不同大小的样本和不同的参数值下准备了蒙特卡洛模拟,用于比较和评估所提出的估计方法。
更新日期:2020-04-27
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