Comparisons of series and parallel systems with components sharing the same copula
Comparisons of series and parallel systems with components sharing the same copula
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DOI：
10.1002/asmb.819
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发表时间：
2010-11
影响因子：
1.4
通讯作者：
J. Navarro;F. Spizzichino
中科院分区：
文献类型：
--
作者：
J. Navarro;F. Spizzichino
本文致力于研究具有共享相同联结的组件寿命向量的串联和并联系统的随机比较。我们表明，在公共联结的某些条件下，具有公共可靠性函数的异质组件串联系统比具有公共可靠性函数（等于异质组件可靠性函数的平均值）的同质组件串联系统更差。然而，我们表明这个性质对于任意的联结不一定成立。我们获得了并行系统和一般相干系统的类似性质。出于这些目的，我们在分析中引入了系词平均函数的概念。版权所有 © 2009 约翰·威利父子有限公司
The paper is devoted to study stochastic comparisons of series and parallel systems with vectors of component lifetimes sharing the same copula. We show that, under some conditions on the common copula, the series system with heterogeneous components is worse than the series system with homogeneous components having a common reliability function, which is equal to the average of the reliability functions of the heterogeneous components. However, we show that this property is not necessarily true for arbitrary copulas. We obtain similar properties for parallel systems and for general coherent systems. For these purposes, we introduce in our analysis the notion of the mean function of a copula. Copyright © 2009 John Wiley & Sons, Ltd.