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.
Supermodularity and Subadditivity Properties of the Entropy on the Majorization Lattice
CICALESE, Ferdinando;VACCARO, Ugo
2002
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.File in questo prodotto:
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