Maximum Likelihood Estimation of Pr(X >Y) from Exponential Distribution with Two parameters Under Hybrid Censored Samples | ||
| مجلة مركز صالح كامل للإقتصاد الإسلامى بجامعة الأزهر | ||
| Volume 63, Issue 63, December 2017, Pages 3-15 PDF (201.03 K) | ||
| Document Type: المقالة الأصلية | ||
| DOI: 10.21608/skjaz.2017.355865 | ||
| Author | ||
| Abeer. S. Mohamed | ||
| Department of Statistics, Faculty of Commerce (Girls' Branch), Al-Azhar University | ||
| Abstract | ||
| Abstract This paper present the estimation of the stress-strength parameter R = Pr(X >Y), when X and Y are two independent exponential random variables with a different scale parameter but having the same location parameter based on hybrid censored samples. The maximum likelihood estimators (MLE) is obtained, the asymptotic distribution of the MLE of R is also obtained, and they have been used to construct the asymptotic confidence interval of R, the Bootstrap-t method is produced and Monte Carlo simulation is presented to evaluate the MLE estimation. Key Words and Phrases: Hybrid censoring; two-parameter exponential distribution; maximum likelihood estimators; bootstrap confidence interval. | ||
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