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The joint survival signature of coherent systems with shared components

机译：共用组件相干系统的联合生存签名

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The concept of joint bivariate signature, introduced by Navarro et al. [13], is a useful tool for quantifying the reliability of two systems with shared components. As with the univariate system signature, introduced by Samaniego [17], its applications are limited to systems with only one type of components, which restricts its practical use. Coolen and Coolen-Maturi [2] introduced the survival signature, which generalizes Samaniego's signature and can be used for systems with multiple types of components. This paper introduces a joint survival signature for multiple systems with multiple types of components and with some components shared between systems. A particularly important feature is that the functioning of these systems can be considered at different times, enabling computation of relevant conditional probabilities with regard to a system's functioning conditional on the status of another system with which it shares components. Several opportunities for practical application and related challenges for further development of the presented concept are briefly discussed, setting out an important direction for future research.
机译：Navarro等人介绍的联合生物签名的概念。 [13]是一种有用的工具，用于量化具有共享组件的两个系统的可靠性。与Samaniego [17]引入的单变量系统签名一样，其应用仅限于仅具有一种组件的系统，限制其实际使用。 Coolen和Coolen-Maturi [2]介绍了生存签名，它概括了SamanieGo的签名，可用于具有多种类型组件的系统。本文介绍了多种类型组件的多种系统的联合生存签名，以及系统之间共享的某些组件。一个特别重要的特征是可以在不同的时间考虑这些系统的功能，从而能够计算关于系统的功能条件的相关条件概率，它与其共享组件的另一系统的状态。简要讨论了对进一步发展的实际应用和相关挑战的几个机会，讨论了对未来研究的重要方向。

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