Reference : Extensions of system signatures to dependent lifetimes: Explicit expressions and inte...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
Engineering, computing & technology : Civil engineering
Security, Reliability and Trust
http://hdl.handle.net/10993/1463
Extensions of system signatures to dependent lifetimes: Explicit expressions and interpretations
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Mathonet, Pierre mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
May-2011
Journal of Multivariate Analysis
Elsevier
102
5
931-936
Yes
International
0047-259X
[en] system signature ; system reliability ; semicoherent system ; order statistic
[en] The concept of system signature was introduced by Samaniego for systems whose components have i.i.d. lifetimes. We consider its extension to the continuous dependent case and give an explicit expression for this extension as a difference of weighted means of the structure function values. We then derive a formula for the computation of the coefficients of these weighted means in the special case of independent continuous lifetimes. Finally, we interpret this extended concept of signature through a natural least squares approximation problem.
Mathematics Research Unit (FSTC)
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/1463
10.1016/j.jmva.2011.01.010
http://arxiv.org/abs/1004.3185

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