Article (Scientific journals)
On signature-based expressions of system reliability
Marichal, Jean-Luc; Mathonet, Pierre; Waldhauser, Tamás
2011In Journal of Multivariate Analysis, 102 (10), p. 1410-1416
Peer Reviewed verified by ORBi
 

Files


Full Text
SignatureBasedReliability-elsarticle.pdf
Author postprint (120.47 kB)
Download

All documents in ORBi are protected by a user license.

Send to



Details



Keywords :
System Signature; Coherent System; Order Statistic; System Reliability
Abstract :
[en] The concept of signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. This concept proved to be useful in the analysis of theoretical behaviors of systems. In particular, it provides an interesting signature-based representation of the system reliability in terms of reliabilities of k-out-of-n systems. In the non-i.i.d. case, we show that, at any time, this representation still holds true for every coherent system if and only if the component states are exchangeable. We also discuss conditions for obtaining an alternative representation of the system reliability in which the signature is replaced by its non-i.i.d. extension. Finally, we discuss conditions for the system reliability to have both representations.
Disciplines :
Mathematics
Author, co-author :
Marichal, Jean-Luc;  University of Luxembourg > FSTC > Mathematics Research Unit
Mathonet, Pierre ;  University of Luxembourg > FSTC > Mathematics Research Unit
Waldhauser, Tamás;  University of Luxembourg > FSTC > Mathematics Research Unit
Language :
English
Title :
On signature-based expressions of system reliability
Publication date :
2011
Journal title :
Journal of Multivariate Analysis
ISSN :
0047-259X
eISSN :
1095-7243
Publisher :
Academic Press
Volume :
102
Issue :
10
Pages :
1410-1416
Peer reviewed :
Peer Reviewed verified by ORBi
Available on ORBi :
since 07 June 2011

Statistics


Number of views
51 (8 by ULiège)
Number of downloads
189 (5 by ULiège)

Scopus citations®
 
36
Scopus citations®
without self-citations
31
OpenCitations
 
33

Bibliography


Similar publications



Contact ORBi