• DocumentCode
    1266034
  • Title

    Supermodularity and subadditivity properties of the entropy on the majorization lattice

  • Author

    Cicalese, Ferdinando ; Vaccaro, Ugo

  • Author_Institution
    Dipt. di Inf. ed Applicazioni, Salerno Univ., Italy
  • Volume
    48
  • Issue
    4
  • fYear
    2002
  • fDate
    4/1/2002 12:00:00 AM
  • Firstpage
    933
  • Lastpage
    938
  • 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
  • Keywords
    combinatorial mathematics; entropy; probability; Boolean lattice; combinatorics; entropy; information theory; majorization lattice; partial order; probability distributions; subadditivity properties; supermodularity properties; Application software; Combinatorial mathematics; Computer science; Cryptography; Entropy; Information analysis; Information theory; Lattices; Probability distribution; Random variables;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.992785
  • Filename
    992785
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1266034