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:: Volume 10, Issue 2 (3-2014) ::
JSRI 2014, 10(2): 209-233 Back to browse issues page
Inference about the Burr Type III Distribution under Type-II Hybrid Censored Data
A. Zazarmi Azizi , A. Sayyareh * , H. Panahi
, asayyareh@razi.ac.ir
Abstract:   (2101 Views)

This paper presents the statistical inference on the parameters of the Burr type III distribution, when the data are Type-II hybrid censored. The maximum likelihood estimators are developed for the unknown parameters using the EM algorithm method. We provided the observed Fisher information matrix using the missing information principle which is useful for constructing the asymptotic confidence intervals. The Bayesian estimates of the unknown parameters under the assumption of independent gamma priors are obtained using two approximations, namely Lindley's approximation and the Markov Chain Monte Carlo technique. Monte Carlo simulations are performed to observe the behavior of the proposed methods and a real dataset representing is used to illustrate the derived results.

Keywords: Bayesian estimates, Burr type III distribution, EM algorithm method, importance sampling scheme, Lindley's approximation, maximum likelihood estimators, Type-II hybrid censoring.
Full-Text [PDF 282 kb]   (370 Downloads)    
Type of Study: Research | Subject: General
Accepted: 2015/12/10 | Published: 2016/09/14
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Zazarmi Azizi A, Sayyareh A, Panahi H. Inference about the Burr Type III Distribution under Type-II Hybrid Censored Data. JSRI. 2014; 10 (2) :209-233
URL: http://jsri.srtc.ac.ir/article-1-50-en.html


Volume 10, Issue 2 (3-2014) Back to browse issues page
مجله‌ی پژوهش‌های آماری ایران (علمی - پژوهشی) Journal of Statistical Research of Iran JSRI
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