On a Stress-Strength Model in Weibull Case | ||||
| The Egyptian Statistical Journal | ||||
| Article 1, Volume 40, Issue 2, December 1996, Page 119-126 PDF (5.83 MB) | ||||
| Document Type: Original Article | ||||
| DOI: 10.21608/esju.1996.314784 | ||||
 View on SCiNiTO | ||||
| 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 | ||||
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