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

Abstract

PurposeBurr 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/approachThe 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.FindingsThe key findings of the paper are that the Bayesian estimates are superior to the maximum likelihood estimates (MLE).Practical implicationsThis work has practical importance. Indeed, the proposed methods are applied to real life data.Originality/valueThe paper is original and is quite applicable in lifetimes data analysis.