Expected Bayesian Estimator and Hierarchical Bayesian Estimator for the Parameter of a Rayleigh Distribution Reliability System Under the Progressive Type-II Data Sample

Deiri, Einolah

doi:10.52547/mmr.7.3.527

Volume 7, Issue 3 (Vol.7, No.3, 2021) mmr 2021, 7(3): 527-544 | Back to browse issues page

‎ 10.52547/mmr.7.3.527

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Deiri E. Expected Bayesian Estimator and Hierarchical Bayesian Estimator for the Parameter of a Rayleigh Distribution Reliability System Under the Progressive Type-II Data Sample. mmr 2021; 7 (3) :527-544
URL: http://mmr.khu.ac.ir/article-1-2798-en.html

Expected Bayesian Estimator and Hierarchical Bayesian Estimator for the Parameter of a Rayleigh Distribution Reliability System Under the Progressive Type-II Data Sample

Einolah Deiri

Islamic Azad University , e.deiri53@Qaemiau.ac.ir

Abstract: (686 Views)

Han (2004) first proposed a new definition of Bayesian estimators called "Expected Bayesian Estimators". This new approach was the generalization of the "hierarchical" approach proposed by Lindley and Smith (1972). Therefore, our main goal in this study is to examine and compare the expected Bayesian estimator and the hierarchical Bayesian estimator for the parameter of a reliability system the result of the Rayleigh probability distribution is the progressive Type-II censored data. To this end, we describe the expected Bayesian estimator and the hierarchical Bayesian estimator in most of the three theorems, in which we show that the expectations of Bayesian estimators and the hierarchical Bayesian estimator converge to zero in various previous distributions.

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Keywords: Expected Bayesian Estimator, Rayleigh Distribution, Prior Distribution, Hierarchical Distribution.

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