A Note on Necessary and Sufficient Conditions for Ordering Properties of Coherent Systems with Exchangeable Components

Jorge Navarro; Rafael Rubio

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A Note on Necessary and Sufficient Conditions for Ordering Properties of Coherent Systems with Exchangeable Components

机译：关于具有可交换组件的相干系统有序性质的充要条件的注记

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摘要

We give necessary and sufficient conditions based on signatures to obtain distribution-free stochastic ordering properties for coherent systems with exchangeable components. Specifically, we consider the stochastic, the hazard (failure) rate, the reversed hazard rate, and the likelihood ratio orders. We apply these results to obtain stochastic ordering properties for all the coherent systems with five or less exchangeable components. Our results extend some preceding results.

机译：我们根据签名给出必要和充分的条件，以获得具有可交换组件的相干系统的无分布随机排序特性。具体来说，我们考虑随机性，危险（失败）率，逆向危险率和似然比顺序。我们应用这些结果来获得具有五个或更少可交换组件的所有相干系统的随机排序特性。我们的结果扩展了之前的结果。

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来源
《Naval Research Logistics》 |2011年第5期|p.478-489|共12页
作者
Jorge Navarro; Rafael Rubio;
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作者单位

Facultad de Matemdticas, Universidad de Murcia, 30100 Murcia, Spain;

Facultad de Matemdticas, Universidad de Murcia, 30100 Murcia, Spain;

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原文格式 PDF
正文语种 eng
中图分类
关键词
coherent system; K-out-of-N system; exchangeability; order statistic; stochastic ordering; hazard rate ordering; likelihood ratio ordering;

机译：相干系统N分系统可交换性订单统计;随机排序;危害率排序;似然比排序;

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A Note on Necessary and Sufficient Conditions for Ordering Properties of Coherent Systems with Exchangeable Components

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