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Component importance in coherent systems with exchangeable components

Part of: Survival analysis and censored data Special processes

Published online by Cambridge University Press:  30 March 2016

Serkan Eryilmaz
Serkan Eryilmaz*
Affiliation:
Atilim University
*
∗∗ Postal address: Department of Industrial Engineering, Atilim University, Ankara, Turkey. Email address: [email protected]
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Abstract

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This paper is concerned with the Birnbaum importance measure of a component in a binary coherent system. A representation for the Birnbaum importance of a component is obtained when the system consists of exchangeable dependent components. The results are closely related to the concept of the signature of a coherent system. Some examples are presented to illustrate the results.

Keywords

Component importanceexchangeabilityorder statisticssignature

MSC classification

Primary: 62N05: Reliability and life testing
Secondary: 60K10: Applications (reliability, demand theory, etc.)
Type
Research Papers
Information
Journal of Applied Probability , Volume 52 , Issue 3 , September 2015 , pp. 851 - 863
Copyright
Copyright © 2015 by the Applied Probability Trust 

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