Estimation of reliability in multicomponent stress-strength based on two parameter exponentiated Weibull Distribution

被引：27
|
作者：
Rao, G. Srinivasa [1 ]
Aslam, Muhammad [2 ]
Arif, Osama H. [2 ]
机构：
[1] Univ Dodoma, Dept Stat, Dodoma, Tanzania
[2] King Abdulaziz Univ, Dept Stat, Fac Sci, Jeddah 21551, Saudi Arabia
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2017年 / 46卷 / 15期
关键词：
Confidence intervals; Exponentiated Weibull distribution; MLE estimation; Reliability estimation; Stress-strength; FAMILY; P(Y-LESS-THAN-X);
D O I：
10.1080/03610926.2016.1154155
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
In this research article, we estimate the multicomponent stress-strength reliability of a system when strength and stress variates are drawn from an exponentiated Weibull distribution with different shape parameters alpha and beta, and common shape and scale parameters gamma and lambda , respectively. We estimate the parameters by using maximum likelihood estimation (MLE) and hence the estimate of reliability obtained applying the MLE method of estimation when samples are drawn from stress and strength distributions. The small sample comparison of the reliability estimates is made through Monte Carlo simulation.
引用
收藏
页码：7495 / 7502
页数：8
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