Empirical Bayes estimators of reliability performances using LINEX loss under progressively Type-II censored samples

Xiuchun Li, Yimin Shi, Jieqiong Wei and Jian Chai

Mathematics and Computers in Simulation (MATCOM), 2007, vol. 73, issue 5, 320-326

Abstract: Based on progressively Type-II censored samples, the empirical estimators of reliability performances for Burr XII distribution are researched under LINEX error loss. Firstly, we obtain the Bayes estimators of the reliability performances. Secondly, different from the predecessor, the empirical Bayes estimators of the reliability performances are derived where hyper-parameter is estimated using maximum likelihood method. In the end, in order to investigate the accuracy of estimations, an illustrative example is examined numerically by means of Monte-Carlo simulation.

Keywords: 62J10; 62G99; Empirical Bayes estimate; Burr XII model; Progressively censored samples; Asymmetric loss function (search for similar items in EconPapers)
Date: 2007
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:73:y:2007:i:5:p:320-326

DOI: 10.1016/j.matcom.2006.05.002

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