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Estimating a parameter of Burr type XII distribution using hybrid censored observations

Estimating a parameter of Burr type XII distribution using hybrid censored observations Purpose – Burr distribution has been proved to be a useful failure model. It can assume different shapes which allow it to be a good fit for various lifetimes data. Hybrid censoring is an important way of generating lifetimes data. The purpose of this paper is to estimate an unknown parameter of the Burr type XII distribution when data are hybrid censored. Design/methodology/approach – The problem is dealt with through both the classical and Bayesian point of view. Specifically, the methods of estimation used to tackle the problem are maximum likelihood estimation method and Bayesian method. Empirical Bayesian approach is also considered. The performance of all estimates is compared through their mean square error values. The paper employs Monte Carlo simulation to evaluate the mean square error values of all estimates. Findings – The key findings of the paper are that the Bayesian estimates are superior to the maximum likelihood estimates (MLE). Practical implications – This work has practical importance. Indeed, the proposed methods are applied to real life data. Originality/value – The paper is original and is quite applicable in lifetimes data analysis. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Quality & Reliability Management Emerald Publishing

Estimating a parameter of Burr type XII distribution using hybrid censored observations

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References (16)

Publisher
Emerald Publishing
Copyright
Copyright © 2011 Emerald Group Publishing Limited. All rights reserved.
ISSN
0265-671X
DOI
10.1108/02656711111162532
Publisher site
See Article on Publisher Site

Abstract

Purpose – Burr distribution has been proved to be a useful failure model. It can assume different shapes which allow it to be a good fit for various lifetimes data. Hybrid censoring is an important way of generating lifetimes data. The purpose of this paper is to estimate an unknown parameter of the Burr type XII distribution when data are hybrid censored. Design/methodology/approach – The problem is dealt with through both the classical and Bayesian point of view. Specifically, the methods of estimation used to tackle the problem are maximum likelihood estimation method and Bayesian method. Empirical Bayesian approach is also considered. The performance of all estimates is compared through their mean square error values. The paper employs Monte Carlo simulation to evaluate the mean square error values of all estimates. Findings – The key findings of the paper are that the Bayesian estimates are superior to the maximum likelihood estimates (MLE). Practical implications – This work has practical importance. Indeed, the proposed methods are applied to real life data. Originality/value – The paper is original and is quite applicable in lifetimes data analysis.

Journal

International Journal of Quality & Reliability Management – Emerald Publishing

Published: Sep 6, 2011

Keywords: Data analysis; Bayesian statistical decision theory

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