The Joint Signature of Coherent Systems with Shared Components
The Joint Signature of Coherent Systems with Shared Components
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DOI：
10.1239/jap/1269610828
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发表时间：
2010-03
影响因子：
1
通讯作者：
J. Navarro;F. Samaniego;N. Balakrishnan
中科院分区：
文献类型：
--
作者：
J. Navarro;F. Samaniego;N. Balakrishnan
系统签名是研究和比较相干系统的有用工具。在这篇文章中，我们定义并研究了一个类似的概念，称为联合签名，对于共享某些组件的两个相干系统。在部件寿命独立同分布的假设下，得到了两个系统寿命联合分布的伪混合表示。基于具有共享部件的两对系统各自的联合签名，给出了保证两对系统联合寿命之间不同形式的二元随机序的充分条件。
System signatures are useful tools in the study and comparison of coherent systems. In this paper, we define and study a similar concept, called the joint signature, for two coherent systems which share some components. Under an independent and identically distributed assumption on component lifetimes, a pseudo-mixture representation based on this joint signature is obtained for the joint distribution of the lifetimes of both systems. Sufficient conditions are given based on the respective joint signatures of two pairs of systems, each with shared components, to ensure various forms of bivariate stochastic orderings between the joint lifetimes of the two pairs of systems.