Okasha Hassan, Mustafa Abdelfattah
Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Department of Mathematics, Faculty of Science, Al-Azhar University, Cairo 11884, Egypt.
Entropy (Basel). 2020 Aug 17;22(8):903. doi: 10.3390/e22080903.
This article focuses on using E-Bayesian estimation for the Weibull distribution based on adaptive type-I progressive hybrid censored competing risks (AT-I PHCS). The case of Weibull distribution for the underlying lifetimes is considered assuming a cumulative exposure model. The E-Bayesian estimation is discussed by considering three different prior distributions for the hyper-parameters. The E-Bayesian estimators as well as the corresponding E-mean square errors are obtained by using squared and LINEX loss functions. Some properties of the E-Bayesian estimators are also derived. A simulation study to compare the various estimators and real data application is applied to show the applicability of the different estimators are proposed.
本文重点研究基于自适应I型渐进混合删失竞争风险（AT-I PHCS）对威布尔分布进行E-贝叶斯估计。在假定累积暴露模型的情况下，考虑了潜在寿命服从威布尔分布的情形。通过考虑超参数的三种不同先验分布来讨论E-贝叶斯估计。利用平方损失函数和LINEX损失函数得到了E-贝叶斯估计量以及相应的E-均方误差。还推导了E-贝叶斯估计量的一些性质。进行了一项模拟研究以比较各种估计量，并应用实际数据来展示所提出的不同估计量的适用性。
