Bayesian Estimation of the Reliability Function of a Two-parameter Cauchy Distribution. | ||
| The Egyptian Statistical Journal | ||
| Article 1, Volume 42, Issue 1, June 1998, Pages 1-9 PDF (6.43 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1998.314558 | ||
| 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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