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Classical and Bayesian Inferences in Step-Stress Partially Accelerated Life Tests for Inverse Weibull Distribution Under Type-I Censoring
Strength of Materials ( IF 0.7 ) Pub Date : 2020-08-26 , DOI: 10.1007/s11223-020-00200-y F. G. Akgul , K. Yu , B. Senoglu
Strength of Materials ( IF 0.7 ) Pub Date : 2020-08-26 , DOI: 10.1007/s11223-020-00200-y F. G. Akgul , K. Yu , B. Senoglu
This paper deals with the classical and Bayesian estimations of step-stress partially accelerated life test model under type-I censoring for the inverse Weibull lifetime distribution. In classical estimation, the maximum likelihood estimates of the distribution parameters and the acceleration factor were obtained. In addition, approximate confidence intervals of the parameters were constructed based on the asymptotic distribution of the maximum likelihood estimators. Under Bayesian inference, besides the Lindley and Tierney–Kadane approximation posterior expectation methods, which yielded point estimates of the distribution parameters and the acceleration factors under square error loss function, we also applied the Gibbs sampling method, in order to construct credible intervals of these parameters together with their point estimates. Finally, Monte Carlo simulations were conducted to compare the performances of the above estimation methods.
中文翻译:
I型删失下逆威布尔分布的逐步应力部分加速寿命试验中的经典和贝叶斯推论
本文讨论了在逆威布尔寿命分布的I型检查下步应力部分加速寿命试验模型的经典估计和贝叶斯估计。在经典估计中,获得了分布参数和加速因子的最大似然估计。另外,基于最大似然估计量的渐近分布构造参数的近似置信区间。在贝叶斯推断下,除了Lindley和Tierney-Kadane近似后验方法(在平方误差损失函数下得出分布参数和加速因子的点估计)之外,我们还使用Gibbs采样方法,以构造这些方法的可信区间参数及其点估计。最后,
更新日期:2020-08-26
中文翻译:
I型删失下逆威布尔分布的逐步应力部分加速寿命试验中的经典和贝叶斯推论
本文讨论了在逆威布尔寿命分布的I型检查下步应力部分加速寿命试验模型的经典估计和贝叶斯估计。在经典估计中,获得了分布参数和加速因子的最大似然估计。另外,基于最大似然估计量的渐近分布构造参数的近似置信区间。在贝叶斯推断下,除了Lindley和Tierney-Kadane近似后验方法(在平方误差损失函数下得出分布参数和加速因子的点估计)之外,我们还使用Gibbs采样方法,以构造这些方法的可信区间参数及其点估计。最后,