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Conditions on marginals and copula of component lifetimes for signature representation of system lifetime.

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dc.contributor.authorNavarro, J.
dc.contributor.authorRychlik, T.
dc.contributor.authorSpizzichino, F.
dc.contributor.departmentEstadística e Investigación Operativa
dc.date.accessioned2024-01-18T11:46:25Z
dc.date.available2024-01-18T11:46:25Z
dc.date.issued2021-07-15
dc.description© 2020 Elsevier. This document is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/ This document is the accepted version of a published work that appeared in final form in Fuzzy Sets and Systems.es
dc.description.abstractThe signature of a system is a probability vector that depends only on the system structure. Under the classic IID (independent and identically distributed) assumption on the component lifetimes, the system lifetime distribution is the convex combination of consecutive component failure times, and the signature coordinates constitute the mixture coefficients. In this case the signature representations are very useful in determining the system lifetime distributions and for stochastic comparisons of them. This first representation was obtained in 1985 by Samaniego. Then it was extended to the more general case of exchangeable component lifetimes. In 2011 Marichal, Mathonet and Waldhauser presented necessary and sufficient conditions assuring the Samaniego repre-sentation. There were expressed in terms of distributional properties of families of auxiliary indicator random vectors parametrized by positive numbers. In the paper we obtain other necessary and sufficient conditions represented in terms of the marginal distri-butions of component lifetimes and the dependence copula of them. Moreover, we study symmetry conditions for the equality of structural and probabilistic signatures.es
dc.formatapplication/pdfes
dc.format.extent31es
dc.identifier.citationFuzzy Sets and Systems 415, 15 July 2021, Pages 99-117
dc.identifier.doihttps://doi.org/10.1016/j.fss.2020.11.006
dc.identifier.issnPrint: 0165-0114
dc.identifier.urihttp://hdl.handle.net/10201/137390
dc.languageenges
dc.publisherElsevieres
dc.relationProyecto del Ministerio de Ciencia e Innovación, PID2019-103971GBI00/AEI/10.13039/501100011033 (AEI/FEDER,UE)es
dc.relation.ispartofproyecto del Ministerio de Ciencia e Innovación, PID2019-103971GBI00/AEI/10.13039/501100011033. (AEI/FEDER,UE)es
dc.relation.publisherversionhttps://www.sciencedirect.com/science/article/pii/S0165011420304504?via%3Dihubes
dc.rightsinfo:eu-repo/semantics/openAccesses
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectCoherent systemes
dc.subjectStructural signaturees
dc.subjectProbabilistic signature,es
dc.subjectExchangeable distributiones
dc.subjectCopulaes
dc.titleConditions on marginals and copula of component lifetimes for signature representation of system lifetime.es
dc.typeinfo:eu-repo/semantics/articlees
dspace.entity.typePublicationes
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