Reference : Subsignatures of systems
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Civil engineering
Security, Reliability and Trust
http://hdl.handle.net/10993/10041
Subsignatures of systems
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Feb-2014
Journal of Multivariate Analysis
Elsevier
124
226-236
Yes
International
0047-259X
[en] semicoherent system ; dependent lifetimes ; Barlow-Proschan index ; system signature ; system subsignature
[en] We introduce the concept of subsignature for semicoherent systems as a class of indexes that range from the system signature to the Barlow-Proschan importance index. Specifically, given a nonempty subset M of the set of components of a system, we define the M-signature of the system as the |M|-tuple whose k-th coordinate is the probability that the k-th failure among the components in M causes the system to fail. We give various explicit linear expressions for this probability in terms of the structure function and the distribution of the component lifetimes. We also examine the case of exchangeable lifetimes and the special case when the lifetime are i.i.d. and M is a modular set.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/10041
10.1016/j.jmva.2013.11.002
http://arxiv.org/abs/1211.4999

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