On residual lifetime of coherent systems after the rth failure

被引：25

作者：

Eryilmaz, Serkan ^{[1
]}

机构：

[1] Atilim Univ, Dept Ind Engn, TR-06836 Ankara, Turkey

来源：

STATISTICAL PAPERS | 2013年 / 54卷 / 01期

关键词：

Coherent system; Residual lifetime; Signature; Stochastic ordering; OUT-OF-N; MIXTURE REPRESENTATIONS; DEPENDENT COMPONENTS; RELIABILITY; SIGNATURES;

D O I：

10.1007/s00362-011-0422-1

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 residual lifetime of a coherent system after the rth failure, i.e. the time elapsed from the rth failure until the system failure given that the system operates at the time of the rth failure. We provide a mixture representation for the corresponding residual lifetime distribution in terms of signature. We also obtain some stochastic ordering results for the residual lifetimes.

引用

页码：243 / 250

页数：8

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