具有异质、相依且分布自由组件的相干系统可靠性比较
Comparing the reliability of coherent systems with heterogeneous, dependent and distribution-free components
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中文总结 AI 辅助
本文提出分布自由方法,在通常随机序和优序条件下,利用任意联结函数比较具有异质相依组件的相干系统可靠性,并给出特定联结函数和边缘分布族的应用。
中文摘要 AI 辅助
近年来,比较具有相依组件的系统可靠性的研究日益增多。近期的大多数工作采用阿基米德联结函数来定义系统的相依结构,并考察特定的分布族。在本工作中,我们提供了分布自由的结果,以在通常随机序下,在某种优序条件下,比较具有异质且相依组件的相干系统,其中相依结构可由任意联结函数定义。我们还给出了针对特定联结函数和不同边缘分布族的主要结果的应用。
英文摘要
In recent years, there has been a growing interest in comparing the reliability of systems with dependent components. Most of the recent works consider Archimedean copulas to define the dependency structure of systems and examine specific familiy of distributions. In this work, we provide distribution-free results to compare, in the usual stochastic order under some majorization conditions, coherent systems with heterogeneous and dependent components where the dependency structure can be defined by any copula. Applications of our main results for specific copulas and different families of marginal distributions are also given.
发表机构
- Universidad Autónoma de Madrid(马德里自治大学)
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