Component Importance in Coherent Systems With Exchangeable Components

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BRONZE

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Yes

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Abstract

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. © 2015 Applied Probability Trust.

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Keywords

Component importance, Exchangeability, Order statistics, Signature, 62N05, Component importance, order statistics, 60K10, exchangeability, signature, Reliability and life testing, Applications of renewal theory (reliability, demand theory, etc.), component importance

Fields of Science

0211 other engineering and technologies, 02 engineering and technology, 0101 mathematics, 01 natural sciences

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OpenCitations Citation Count
5

Volume

52

Issue

3

Start Page

851

End Page

863

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CrossRef : 2

Scopus : 5

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Mendeley Readers : 5

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5

checked on Jun 16, 2026

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1.58

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