Stochastic Comparisons Between Lifetimes of Reliability Systems with Exchangeable Components

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 ordering...

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Bibliographic Details
Published in:Methodology and computing in applied probability 2016-12, Vol.18 (4), p.1081-1095
Main Authors: Koutras, Markos V., Triantafyllou, Ioannis S., Eryilmaz, Serkan
Format: Article
Language:English
Subjects:
Business and Management
Component reliability
Computation
Economics
Electrical Engineering
Hazards
Life Sciences
Mathematical analysis
Mathematics and Statistics
Methodology
Order disorder
Reliability
Service life assessment
Statistics
Stochastic models
Stochasticity
Studies
System reliability
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Summary: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.
ISSN:1387-5841
1573-7713
DOI:10.1007/s11009-014-9433-4