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, Page 3-15 PDF (201.03 K) | ||||
| Document Type: المقالة الأصلية | ||||
| DOI: 10.21608/skjaz.2017.355865 | ||||
 View on SCiNiTO | ||||
| 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. | ||||
|
Statistics Article View: 54 PDF Download: 53 |
||||
