On the residual lifelengths of the remaining components in a coherent system

被引：0
作者：
M. Kelkin Nama
M. Asadi
Z. Zhang
机构：
[1] University of Isfahan,Department of Statistics
[2] Institute of Research in Fundamental Sciences (IPM),School of Mathematics
[3] Lanzhou Jiaotong University,School of Mathematics and Physics
来源：
Metrika | 2013年 / 76卷
关键词：
Order statistics; Stochastic order; IFR(DFR); Mixture of distributions; Signature; Hazard rate; Mean residual life;
D O I：
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中图分类号：
学科分类号：
摘要：
In this note, we consider a coherent system with the property that, upon failure of the system, some of its components remain unfailed in the system. Under this condition, we study the residual lifetime of the live components of the system. Signature based mixture representation of the joint and marginal reliability functions of the live components are obtained. Various stochastic and aging properties of the residual lifetime of such components are investigated. Some characterization results on exponential distributions are also provided.
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页码：979 / 996
页数：17
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