Distribution functions of linear combinations of lattice polynomials from the uniform distribution

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dc.creatorMarichal, Jean-Luc
dc.creatorKojadinovic, Ivan
dc.date2007-09-20
dc.date.accessioned2026-07-07T09:36:33Z
dc.date.available2026-07-07T09:36:33Z
dc.descriptionWe give the distribution functions, the expected values, and the moments of linear combinations of lattice polynomials from the uniform distribution. Linear combinations of lattice polynomials, which include weighted sums, linear combinations of order statistics, and lattice polynomials, are actually those continuous functions that reduce to linear functions on each simplex of the standard triangulation of the unit cube. They are mainly used in aggregation theory, combinatorial optimization, and game theory, where they are known as discrete Choquet integrals and Lovasz extensions.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0709.3184
dc.identifierhttp://arxiv.org/abs/0709.3184
dc.identifierStatistics and Probability Letters 78 (8) (2008) 985-991
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/160160
dc.subjectProbability
dc.subjectStatistics Theory
dc.subject60A10 (Primary); 28B15, 62G30, 65D07 (Secondary)
dc.titleDistribution functions of linear combinations of lattice polynomials from the uniform distribution
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