Bayesian Estimation of the Reliability Function of a Two-parameter Cauchy Distribution. | ||||
The Egyptian Statistical Journal | ||||
Article 1, Volume 42, Issue 1, June 1998, Page 1-9 PDF (6.43 MB) | ||||
Document Type: Original Article | ||||
DOI: 10.21608/esju.1998.314558 | ||||
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Author | ||||
T. M. Abdel Moneim* | ||||
Dep.of Mathematics,Faculty of Science for Girls, Eldaamam, Saudi Arabia | ||||
Abstract | ||||
In this paper, we obtained an approximate Bayes procedure for the estimation of the reliability function of a two-parameter Cauchy distribution under a predictive distribution approach of Sinha and Guttman (1988) using Jeffrys' non-informative prior. Based on a Monto Carlo study and Mathematica programs, such approximate Bayes estimator is compared with those of Howlader and Weiss (1988b) and Maximum likelihood. | ||||
Keywords | ||||
Cauchy Distribution; Reliability Function; Non-Informative Prior; A Predictive Distribution Approach | ||||
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