Approximate Bayes estimation of the parameters and reliability function of a mixture of two inverse Weibull distributions under Type-2 censoring
The main goal of this paper is to develop the approximate Bayes estimation of the five-dimensional vector of the parameters and reliability function of a mixture of two inverse Weibull distributions (MTIWD) under Type-2 censoring. Usually, the posterior distribution is complicated under
the scheme of Type-2 censoring and the integrals that are involved cannot be obtained in a simple explicit form. In this study, we use Lindley's [Approximate Bayesian method, Trabajos Estadist. 31 (1980), pp. 223–237] approximate form of Bayes estimation in the case of an MTIWD
under Type-2 censoring. Later, we calculate the estimated risks (ERs) of the Bayes estimates and compare them with the corresponding ERs of the maximum-likelihood estimates through Monte Carlo simulation. Finally, we analyse a real data set using the findings.
Keywords: Lindley's procedure; Monte Carlo simulation; estimated risk; maximum likelihood; proper prior; reliability functions; two-component mixture
Document Type: Research Article
Affiliations: 1: Department of Statistics and Operations Research, College of Science, King Saud University, PO Box 2455 Riyadh, 11451, Saudi Arabia 2: Department of Mathematics, College of Science, Al-Jouf University, PO Box 2014 Sakaka (Al-Jouf), Saudi Arabia
Publication date: 01 October 2013
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