System reliability and weighted lattice polynomials

Simple item page
dc.creatorDukhovny, Alexander
dc.creatorMarichal, Jean-Luc
dc.date2007-12-05
dc.date2008-05-28
dc.date.accessioned2026-07-07T09:40:59Z
dc.date.available2026-07-07T09:40:59Z
dc.descriptionThe lifetime of a system of connected units under some natural assumptions can be represented as a random variable Y defined as a weighted lattice polynomial of random lifetimes of its components. As such, the concept of a random variable Y defined by a weighted lattice polynomial of (lattice-valued) random variables is considered in general and in some special cases. The central object of interest is the cumulative distribution function of Y. In particular, numerous results are obtained for lattice polynomials and weighted lattice polynomials in case of independent arguments and in general. For the general case, the technique consists in considering the joint probability generating function of "indicator" variables. A connection is studied between Y and order statistics of the set of arguments.
dc.descriptionRevised version (minor changes)
dc.identifierhttps://arxiv.org/abs/0712.0707
dc.identifierhttp://arxiv.org/abs/0712.0707
dc.identifierProbability in the Engineering and Informational Sciences 22 (3) (2008) 373-388
dc.identifierdoi:10.1017/S0269964808000223
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/161674
dc.subjectProbability
dc.subjectRings and Algebras
dc.subject62N05, 90B25 (Primary); 28B15, 46N30, 60K10, 62G30, 94C10 (Secondary)
dc.titleSystem reliability and weighted lattice polynomials
dc.typetext

Files

Collections

arXiv