Supermodularity and subadditivity properties of the entropy on themajorization lattice |
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Authors: | Cicalese F Vaccaro U |
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Institution: | Dipt. di Inf. ed Applicazioni, Salerno Univ.; |
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Abstract: | We prove that the entropy is a supermodular and subadditive function on the lattice of all n-dimensional probability distributions, ordered according to the partial order relation defined by majorization among vectors |
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