On conditional residual lifetimes of coherent systems consisting of components with discrete lifetimes

被引：1
|
作者：
Jasinski, Krzysztof [1 ]
机构：
[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Chopina 12-18, PL-87100 Torun, Poland
来源：
METRIKA | 2023年 / 86卷 / 02期
关键词：
Coherent systems; Residual lifetime; Discrete lifetime distribution; Order statistics; Stochastic orders; OF-N SYSTEMS; RELIABILITY; BOUNDS;
D O I：
10.1007/s00184-022-00871-4
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, we consider a coherent system composed of components whose lifetimes are independent and identically discretely distributed random variables. We study several aging and stochastic properties of the conditional residual lifetime of the system under the condition that some of its components have failed by time t. Moreover, we compare the conditional residual lifetimes of two coherent systems by using various stochastic orders.
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页码：205 / 218
页数：14
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