Estimating a parameter of Burr type XII distribution using hybrid censored observations
International Journal of Quality & Reliability Management
ISSN: 0265-671X
Article publication date: 6 September 2011
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.
Keywords
Citation
Rastogi, M.K. and Mani Tripathi, Y. (2011), "Estimating a parameter of Burr type XII distribution using hybrid censored observations", International Journal of Quality & Reliability Management, Vol. 28 No. 8, pp. 885-893. https://doi.org/10.1108/02656711111162532
Publisher
:Emerald Group Publishing Limited
Copyright © 2011, Emerald Group Publishing Limited