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 intervalof 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.
Mohamed, Abeer. S.. (2017). 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, 63(63), 3-15. doi: 10.21608/skjaz.2017.355865
MLA
Abeer. S. Mohamed. "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, 63, 63, 2017, 3-15. doi: 10.21608/skjaz.2017.355865
HARVARD
Mohamed, Abeer. S.. (2017). '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, 63(63), pp. 3-15. doi: 10.21608/skjaz.2017.355865
VANCOUVER
Mohamed, Abeer. S.. 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, 2017; 63(63): 3-15. doi: 10.21608/skjaz.2017.355865
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