Parameter Estimation for a Burr XII Distribution under Progressive Censoring

被引：0
|
作者：
Maurya R.K. [1 ]
Tripathi Y.M. [1 ]
Rastogi M.K. [2 ]
Asgharzadeh A. [3 ]
机构：
[1] Department of Mathematics, Indian Institute of Technology Patna, Bihta
[2] National Institute of Pharmaceutical Education and Research, Hajipur
[3] Department of Statistics, University of Mazandaran, Babolsar
来源：
American Journal of Mathematical and Management Sciences | 2017年 / 36卷 / 03期
关键词：
Bayes estimator - Burr type-xii distributions - Confidence interval - EM algorithms - Loss functions - Maximum likelihood estimator - Real life data - Simulation studies;
D O I：
10.1080/01966324.2017.1334604
中图分类号：
学科分类号：
摘要：
SYNOPTIC ABSTRACT: This article deals with the problem of estimating unknown parameters of a Burr Type XII distribution with the data that are progressive Type-II censored. The maximum likelihood estimators are derived using an EM algorithm. Approximate confidence intervals based on the observed Fisher information matrix and bootstrap intervals of the unknown parameters are obtained. Bayes estimators are derived under different loss functions by making use of the Tierney and Kadane method and importance sampling procedure. Samples obtained from the importance sampling procedure are further used to construct the highest posterior density intervals of unknown parameters. A simulation study is conducted to study the performance of proposed estimators. Finally, a real life data and a simulated data are analyzed for illustration. © 2017 Taylor & Francis Group, LLC.
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页码：259 / 276
页数：17
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