Reference : Weighted lattice polynomials of independent random variables
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/2090
Weighted lattice polynomials of independent random variables
English
Marichal, Jean-Luc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
1-Mar-2008
Discrete Applied Mathematics
Elsevier Science
156
5
685-694
Yes (verified by ORBilu)
International
0166-218X
Amsterdam
The Netherlands
[en] weighted lattice polynomial ; lattice polynomial ; order statistic ; cumulative distribution function ; moment ; reliability
[en] We 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.
University of Luxembourg - UL
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/2090
10.1016/j.dam.2007.08.024
http://arxiv.org/abs/0707.0953

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