Reference : Distribution functions of linear combinations of lattice polynomials from the uniform...
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/2797
Distribution functions of linear combinations of lattice polynomials from the uniform distribution
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Kojadinovic, Ivan mailto [The University of Auckland, Auckland, New Zealand > Department of Statistics]
1-Jun-2008
Statistics & Probability Letters
Elsevier Science
78
8
985-991
Yes (verified by ORBilu)
International
0167-7152
Amsterdam
The Netherlands
[en] Lovász extension ; discrete Choquet integral ; lattice polynomial ; order statistic ; distribution function ; moment ; B-Spline ; divided difference
[en] We 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 Lovász extensions.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/2797
10.1016/j.spl.2007.09.059
http://arxiv.org/abs/0709.3184

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