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Assessing the effect of E-Bayesian inference for Poisson inverse exponential distribution parameters under different loss functions and its application
Communications in Statistics - Theory and Methods ( IF 0.8 ) Pub Date : 2020-11-25 , DOI: 10.1080/03610926.2020.1847293
Anurag Pathak 1 , Manoj Kumar 1 , Sanjay Kumar Singh 2 , Umesh Singh 2
Affiliation  

Abstract

This paper present E-Bayesian and Bayesian estimators of parameters of Poisson inverse exponential distribution (PIED) under Squared error loss function (SELF), General entropy loss function (GELF) and Linear Exponential loss function (LINEX) for progressive type-II censored data with binomial removals (PT-II CBRs). The E-Bayesian and corresponding Bayesian estimators are compared in terms of their risks based on simulated samples from PIED. The proposed methodology is applied to survival time of multiple myeloma patients data.



中文翻译:

不同损失函数下泊松逆指数分布参数的E-贝叶斯推理效果评估及其应用

摘要

本文介绍了在平方误差损失函数 (SELF)、一般熵损失函数 (GELF) 和线性指数损失函数 (LINEX) 下的泊松逆指数分布 ( PIED ) 参数的 E-贝叶斯和贝叶斯估计量,用于渐进型 II 删失数据带有二项式去除(PT-II CBR)。根据来自PIED的模拟样本,比较 E-贝叶斯估计量和相应的贝叶斯估计量的风险。所提出的方法应用于多发性骨髓瘤患者数据的生存时间。

更新日期:2020-11-25
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