Stochastic Comparisons Between Lifetimes of Reliability Systems with Exchangeable Components

被引：9

作者：

Koutras, Markos V. ^{[1
]}

Triantafyllou, Ioannis S. ^{[1
]}

Eryilmaz, Serkan ^{[2
]}

机构：

[1] Univ Piraeus, Dept Stat & Insurance Sci, Piraeus, Greece

[2] Atilim Univ, Dept Ind Engn, Ankara, Turkey

来源：

METHODOLOGY AND COMPUTING IN APPLIED PROBABILITY | 2016年 / 18卷 / 04期

关键词：

Hazard rate ordering; Reliability systems; Samaniego's signature; Minimal and maximal signatures; OUT-OF-N; REVERSED HAZARD RATE; COHERENT SYSTEMS; K SYSTEMS; SIGNATURE;

D O I：

10.1007/s11009-014-9433-4

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

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.

引用

页码：1081 / 1095

页数：15

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