Stochastic Comparisons Between Lifetimes of Reliability Systems with Exchangeable Components

被引:0
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作者
Markos V. Koutras
Ioannis S. Triantafyllou
Serkan Eryilmaz
机构
[1] University of Piraeus,Department of Statistics and Insurance Science
[2] Atilim University,Department of Industrial Engineering
关键词
Hazard rate ordering; Reliability systems; Samaniego’s signature; Minimal and maximal signatures; Primary 60E15; Secondary 60K10;
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摘要
In this article we present several results pertaining to the stochastic comparison of the lifetimes of two reliability systems with exchangeable components. More specifically, we provide signature-based sufficient and necessary conditions for establishing hazard rate and reverse hazard rate orderings. Finally, focusing on the class of consecutive-type systems, we illustrate how the general results can be exploited to deduce several stochastic orderings among members of this class.
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页码:1081 / 1095
页数:14
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