RT - Journal Article
T1 - Expected Bayesian Estimator and Hierarchical Bayesian Estimator for the Parameter of a Rayleigh Distribution Reliability System Under the Progressive Type-II Data Sample
JF - khu-mmr
YR - 2021
JO - khu-mmr
VO - 7
IS - 3
UR - http://mmr.khu.ac.ir/article-1-2798-en.html
SP - 527
EP - 544
K1 - Expected Bayesian Estimator
K1 - Rayleigh Distribution
K1 - Prior Distribution
K1 - Hierarchical Distribution.
AB - 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. ./files/site1/files/%DA%86%DA%A9%DB%8C%D8%AF%D9%87_%D9%85%D8%A8%D8%B3%D9%88%D8%B7_%D8%AF%DB%8C%D8%B1%DB%8C.pdf
LA eng
UL http://mmr.khu.ac.ir/article-1-2798-en.html
M3 10.52547/mmr.7.3.527
ER -