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Estimation for Flexible Weibull Extension under Progressive Type-II Censoring
Volume 13, Issue 1 (2015), pp. 21–42
Sanjay Kumar Singh   Umesh Singh   Vikas Kumar Sharma     All authors (4)

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https://doi.org/10.6339/JDS.201501_13(1).0002
Pub. online: 19 March 2021      Type: Research Article      Open accessOpen Access

Published
19 March 2021

Abstract

Abstract: : In this paper, we discussed classical and Bayes estimation procedures for estimating the unknown parameters as well as the reliability and hazard functions of the flexible Weibull distribution when observed data are collected under progressively Type-II censoring scheme. The performances of the maximum likelihood and Bayes estimators are compared in terms of their mean squared errors through the simulation study. For the computation of Bayes estimates, we proposed the use of Lindley’s approximation and Markov Chain Monte Carlo (MCMC) techniques since the posteriors of the parameters are not analytically tractable. Further, we also derived the one and two sample posterior predictive densities of future samples and obtained the predictive bounds for future observations using MCMC techniques. To illustrate the discussed procedures, a set of real data is analysed.

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Keywords
Progressive Type-II censored data reliability and hazard functions maximum likelihood estimation

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