Mohamed, A. (2017). Maximum Likelihood Estimation of Pr(X >Y) from Exponential Distribution with Two parameters Under Hybrid Censored Samples. test, 63(63), 3-15. doi: 10.21608/skjaz.2017.355865
Abeer. S. Mohamed. "Maximum Likelihood Estimation of Pr(X >Y) from Exponential Distribution with Two parameters Under Hybrid Censored Samples". test, 63, 63, 2017, 3-15. doi: 10.21608/skjaz.2017.355865
Mohamed, A. (2017). 'Maximum Likelihood Estimation of Pr(X >Y) from Exponential Distribution with Two parameters Under Hybrid Censored Samples', test, 63(63), pp. 3-15. doi: 10.21608/skjaz.2017.355865
Mohamed, A. Maximum Likelihood Estimation of Pr(X >Y) from Exponential Distribution with Two parameters Under Hybrid Censored Samples. test, 2017; 63(63): 3-15. doi: 10.21608/skjaz.2017.355865

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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