The Estimation of Reliability from Stress-Strength for Exponentiated Frechet Distribution

被引：4
|
作者：
Badr, M. M. [1 ]
Shawky, A., I [2 ]
Alharby, A. H. [2 ]
机构：
[1] King Abdulaziz Univ, Fac Sci Girls, Stat Dept, POB 70973, Jeddah 21577, Saudi Arabia
[2] King Abdulaziz Univ, Stat Dept, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
来源：
IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2019年 / 43卷 / A3期
关键词：
Bayesian estimator; Maximum likelihood estimator (MLE); Uniformly minimum variance unbiased estimator (UMVUE); Stress-strength model; Exponentiated Frechet distribution (EFD); 62F10; 62E20; 62F12; 62F15; LESS-THAN; BAYES ESTIMATION; MODEL; P(Y-LESS-THAN-X); SYSTEM; Y);
D O I：
10.1007/s40995-017-0372-0
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
This paper deals with the problem of estimation of the stress-strength function R=P(Y<X), when X and Y are two independent but not identically distributed random variables belonging to the exponentiated Frechet (EF) distribution. Different estimators of R, namely, maximum likelihood, uniformly minimum variance unbiased, and Bayes, are derived in closed form. In addition, two-sided confidence interval for R is obtained. We discuss the reliability in multi-component model. Simulation studies are performed to compare the different estimates of R and Rs,k. Real data are used as a practical application of the proposed procedure.
引用
收藏
页码：863 / 874
页数：12
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