On a Stress-Strength Model in Weibull Case | ||
| The Egyptian Statistical Journal | ||
| Article 1, Volume 40, Issue 2, December 1996, Pages 119-126 PDF (5.83 M) | ||
| Document Type: Original Article | ||
| DOI: 10.21608/esju.1996.314784 | ||
| Author | ||
| M. A.W. Mahmoud* | ||
| Dep. of Mathematics, Faculty of Science, Al-Azhar University, Egypt | ||
| Abstract | ||
| In this paper three estimators for the reliability function P (Y < X), (MLE, UMVUE and Bayes estimators) are given when X and Y are two independent but not identically distributed Weibull random variables with common and known shape parameter. A simulation studies which compare the estimators are presented. Moreover, sensitivity of Bayes estimator to the prior parameters is considered. | ||
| Keywords | ||
| Stress-Strength Model; Weibull Distribution; MLE; UMVUE; Bayes Estimation; Hypergeometric Function | ||
|
Statistics Article View: 132 PDF Download: 22 |
||
