Weighted lattice polynomials of independent random variables

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dc.creatorMarichal, Jean-Luc
dc.date2007-07-06
dc.date.accessioned2026-07-07T09:21:19Z
dc.date.available2026-07-07T09:21:19Z
dc.descriptionWe give the cumulative distribution functions, the expected values, and the moments of weighted lattice polynomials when regarded as real functions of independent random variables. Since weighted lattice polynomial functions include ordinary lattice polynomial functions and, particularly, order statistics, our results encompass the corresponding formulas for these particular functions. We also provide an application to the reliability analysis of coherent systems.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/0707.0953
dc.identifierhttp://arxiv.org/abs/0707.0953
dc.identifierDiscrete Applied Mathematics 156 (5) (2008) 685-694
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154984
dc.subjectProbability
dc.subjectRings and Algebras
dc.subject90B25, 60A10 (Primary) 28B15 (Secondary)
dc.titleWeighted lattice polynomials of independent random variables
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