Number of Working Components in Consecutive k-out-of-n System While It Is Working

被引：22
作者：
Eryilmaz, Serkan [1 ]
机构：
[1] Izmir Univ Econ, Dept Math, TR-35330 Izmir, Turkey
来源：
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2010年 / 39卷 / 04期
关键词：
Consecutive k-out-of-n system; Exchangeable components; Order statistics; System signature; COHERENT SYSTEMS; LIFETIME DISTRIBUTION; F-SYSTEMS; EXCHANGEABLE COMPONENTS; RESIDUAL LIFETIMES; RELIABILITY; SIGNATURES;
D O I：
10.1080/03610910903580971
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 article we study the distribution and expected value of the number of working components at time t in a consecutive k-out-of-n system under the condition that it is working at time t. We provide the exact distribution of the corresponding conditional random variable and compute its expected value for the system consisting of exchangeable dependent components. The results are also extended to any coherent system by the aid of system signature. Finally, we present illustrative and computational results for some systems having Lomax components.
引用
收藏
页码：683 / 692
页数：10
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