Multivariate Lomax distribution: properties and usefulness in reliability theory
Multivariate Lomax distribution: properties and usefulness in reliability theory
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多元 Lomax 分布：可靠性理论中的属性和用途
DOI：
10.2307/3214068
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发表时间：
1987
影响因子：
1
通讯作者：
T. Nayak
中科院分区：
文献类型：
--
作者：
T. Nayak
建立了一个模型，该模型结合了公共环境对系统的几个组件（结构独立）的影响。通过混合指数变量，得到了Lomax （Pareto型2）分布的多元概化。讨论了它与其他多元分布的关系。本文报道了该分布的几个性质，并指出了它们在可靠性理论中的应用。最后，对该多元Lomax分布进行了进一步推广。
A model incorporating the effect of a common environment on several components (structurally independent) of a system is developed. A multivariate generalization of the Lomax (Pareto type 2) distribution is obtained by mixing exponential variables. Its relationship to other multivariate distributions is discussed. Several properties of this distribution are reported and their usefulness in reliability theory indicated. Finally, a further generalization of this multivariate Lomax distribution is presented.