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Comparison of estimates using censored samples from Gompertz model: Bayesian, E-Bayesian, hierarchical Bayesian and empirical Bayesian schemes

机译:使用Gompertz模型中经过审查的样本进行的估计值比较:贝叶斯,E-贝叶斯,分层贝叶斯和经验贝叶斯方案

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This paper aims to introduce a comparative study for the E-Bayesian criteria with three various Bayesian approaches; Bayesian, hierarchical Bayesian and empirical Bayesian. This study is concerned to estimate the shape parameter and the hazard function of the Gompertz distribution based on type-II censoring. All estimators are obtained under symmetric loss function [squared error loss (SELF))] and three different asymmetric loss functions [quadratic loss function (QLF), entropy loss function (ELF) and LINEX loss function (LLF)]. Comparisons among all estimators are achieved in terms of mean square error (MSE) via Monte Carlo simulation.
机译:本文旨在通过三种不同的贝叶斯方法对E-贝叶斯标准进行比较研究。贝叶斯,分层贝叶斯和经验贝叶斯。这项研究关注基于II型删失估计Gompertz分布的形状参数和危险函数。所有估计量都是在对称损失函数[平方误差损失(SELF)]和三个不同的非对称损失函数[二次损失函数(QLF),熵损失函数(ELF)和LINEX损失函数(LLF)]下获得的。所有估计量之间的比较均通过蒙特卡洛模拟以均方误差(MSE)进行。

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