Properties of Coherent Systems with Dependent Components
Properties of Coherent Systems with Dependent Components
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DOI：
10.1080/03610920600966316
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发表时间：
2007-01
期刊：
影响因子：
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通讯作者：
J. Navarro;J. Ruiz;C. J. Sandoval
中科院分区：
文献类型：
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作者：
J. Navarro;J. Ruiz;C. J. Sandoval
我们引入了两个新的单变量分布族，我们称之为超最小分布和超极大分布。这些族在可靠性理论的背景下具有有趣的应用，因为它们包含相干系统寿命分布。对于这些族，我们获得分布、界限和矩。我们还定义了具有可交换组件的相干系统的最小和最大特征，这使我们能够将系统分布表示为串联和并联系统的广义混合（即，可能具有负权重的混合）。这些结果也可以应用于订单统计（n 系统中的 k 系统）。最后，我们给出了一些研究具有不同多元指数联合分布的相干系统的应用。
We introduce two new families of univariate distributions that we call hyperminimal and hypermaximal distributions. These families have interesting applications in the context of reliability theory in that they contain that of coherent system lifetime distributions. For these families, we obtain distributions, bounds, and moments. We also define the minimal and maximal signatures of a coherent system with exchangeable components which allow us to represent the system distribution as generalized mixtures (i.e., mixtures with possibly negative weights) of series and parallel systems. These results can also be applied to order statistics (k-out-of-n systems). Finally, we give some applications studying coherent systems with different multivariate exponential joint distributions.