Estimation of stress-strength reliability using discrete phase type distribution

被引：20
|
作者：
Jose, Joby K. [1 ]
Drisya, M. [1 ]
Manoharan, M. [2 ]
机构：
[1] Kannur Univ, Dept Stat Sci, Kannur 670567, Kerala, India
[2] Univ Calicut, Dept Stat, Calicut, Kerala, India
来源：
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2022年 / 51卷 / 02期
关键词：
Discrete phase type distribution; mixture distribution; stress-strength reliability; EM algorithm; LESS-THAN Y); BAYESIAN-INFERENCE; MODEL; SYSTEM;
D O I：
10.1080/03610926.2020.1749663
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 paper, the stress-strength reliability of single and multi-component systems are estimated assuming discrete phase type distribution for stress and strength components. The systems with strength following mixture of discrete phase type distributions is also considered. Matrix based expressions are obtained for stress-strength reliability and its maximum likelihood estimate is obtained using EM algorithm. The numerical illustration using various special cases of discrete phase type distribution like geometric, negative binomial, generalized negative binomial and different mixtures of discrete distributions are also carried out.
引用
收藏
页码：368 / 386
页数：19
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