E-Bayesian Estimation for Burr-X Distribution Based on Generalized Type-I Hybrid Censoring Scheme

被引：20
|
作者：
Rabie A. [1 ,2 ]
Li J. [1 ]
机构：
[1] School of Mathematics and Statistics, Central South University, Changsha, Hunan
[2] Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut
来源：
Rabie, Abdalla (abuda_math@csu.edu.cn) | 1600年 / Taylor and Francis Ltd.卷 / 39期
关键词：
Bayesian estimation; Burr-X distribution; E-Bayesian estimation; generalized Type-I hybrid censoring scheme; MCMC method;
D O I：
10.1080/01966324.2019.1579123
中图分类号：
学科分类号：
摘要：
SYNOPTIC ABSTRACT: This article deals with Bayesian and E-Bayesian (expectation of the Bayesian estimate) estimation methods of the parameter and the reliability function of Burr-X distribution based on a generalized Type-I hybrid censoring scheme. Bayesian and E-Bayesian estimates are obtained under LINEX and squared error loss functions. By applying Markov chain Monte Carlo techniques, Bayesian and E-Bayesian estimates based on a generalized Type-I hybrid censoring scheme are derived. Also, credible intervals for Bayesian and E-Bayesian estimates are computed. Examples of generalized Type-I hybrid censored samples and real data sets are presented for the purpose of illustration. Finally, a comparison between Bayesian and E-Bayesian estimation methods is conducted. © 2019, © 2019 Taylor & Francis Group, LLC.
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收藏
页码：41 / 55
页数：14
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