Bayesian Estimation of R= P [ y < X ] for Burr Type XII Distribution Using Extreme Ranked Set Sampling | ||||
The Egyptian Statistical Journal | ||||
Article 5, Volume 63, Issue 1, June 2019, Page 45-65 PDF (635.58 K) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.2019.268728 | ||||
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Abstract | ||||
In this paper, a comparison of Bayesian estimators using non-informative priors under different loss functions, assuming that both the stress and the strength are independently indentically burr XII random variables. Bayes estimates of R based on extreme ranked set sampling are developed using Jeffery prior under symmetric and asymmetric loss functions and compared with the known estimators using simple random sampling technique the Bayes estimator cannot be obtained in explicit form, and therefore extensive numerical investigation will be carried out to compare the Bayesian estimators under simple random sampling extreme ranked set sampling techniques | ||||
Keywords | ||||
Burr XII distribution; ranked set sampling; extreme ranked set sampling; Bayesian estimators | ||||
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