In this paper, we develop a general multivariate new better than used (MNBU) distribution based on a multivariate common shock model. Assuming that the external shock process follows the generalized Pólya process and a shock can destroy each component with some given probability, the multivariate survival distribution is obtained. The dependence structure of the multivariate distribution is analyzed. The properties on the dependence order and the multivariate ageing are also studied. Finally, as a special case, we consider the distribution of the minimum random variable and briefly discuss its properties.

中文翻译：

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一般多元新好于使用 (MNBU) 分布及其属性

在本文中，我们基于多元共同冲击模型开发了一个通用的多元新比使用（MNBU）分布。假设外部冲击过程遵循广义 Pólya 过程，并且冲击可以以给定的概率破坏每个组件，则得到多元生存分布。分析了多元分布的依赖结构。还研究了依赖顺序和多元老化的特性。最后，作为一个特例，我们考虑最小随机变量的分布并简要讨论其性质。