This paper investigates the issue of stochastic comparison of multi-active redundancies at the component level versus the system level. Based on the assumption that all components are statistically dependent, in the case of complete matching and nonmatching spares, we present some interesting comparison results in the sense of the hazard rate, reversed hazard rate and likelihood ratio orders, respectively. And we also obtain two comparison results between relative agings of resulting systems at the component level and the system level. Several numerical examples are provided to illustrate the theoretical results.

中文翻译：

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对于具有相关组件的相干系统，在活动冗余下组件级别与系统级别的排序

本文研究了组件级别与系统级别的多活动冗余的随机比较问题。基于所有组件在统计上相关的假设，在完全匹配和不匹配备件的情况下，我们分别在风险率、反向风险率和似然比顺序的意义上提出了一些有趣的比较结果。我们还获得了两个结果系统在组件级别和系统级别的相对老化之间的比较结果。提供了几个数值例子来说明理论结果。