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Abstract: We give the cumulative distribution functions, the expected values, and themoments of weighted lattice polynomials when regarded as real functions ofindependent random variables. Since weighted lattice polynomial functionsinclude ordinary lattice polynomial functions and, particularly, orderstatistics, our results encompass the corresponding formulas for theseparticular functions. We also provide an application to the reliabilityanalysis of coherent systems.



Author: Jean-Luc Marichal

Source: https://arxiv.org/







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