• DocumentCode
    1780393
  • Title

    The Blackwell relation defines no lattice

  • Author

    Bertschinger, Nils ; Rauh, Johannes

  • Author_Institution
    Max Planck Inst. for Math. in the Sci., Leipzig, Germany
  • fYear
    2014
  • fDate
    June 29 2014-July 4 2014
  • Firstpage
    2479
  • Lastpage
    2483
  • Abstract
    Blackwell´s theorem shows the equivalence of two preorders on the set of information channels. Here, we restate, and slightly generalize, his result in terms of random variables. Furthermore, we prove that the corresponding partial order is not a lattice; that is, least upper bounds and greatest lower bounds do not exist.
  • Keywords
    information theory; statistics; Blackwell relation; Blackwell theorem; information channel; preorder equivalence; Generators; Information theory; Lattices; Markov processes; Random variables; Upper bound; Vectors;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory (ISIT), 2014 IEEE International Symposium on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/ISIT.2014.6875280
  • Filename
    6875280
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1780393