• DocumentCode
    2059968
  • Title

    About the mutual (conditional) information

  • Author

    Renner, Renato ; Maurer, Ueli

  • Author_Institution
    Inst. of Theor. Comput. Sci., Eidgenossische Tech. Hochschule, Zurich, Switzerland
  • fYear
    2002
  • fDate
    2002
  • Firstpage
    364
  • Abstract
    We give a necessary, sufficient, and easily verifiable criterion for the conditional probability distribution PZ|XY (where X, Y and Z are arbitrary random variables), such that I(X; Y)≥I(X; Y|Z) holds for any distribution PXY. Furthermore, the result is generalized to the case where Z is specified by a conditional probability distribution depending on more than two random variables.
  • Keywords
    information theory; probability; random processes; arbitrary random variables; conditional probability distribution; mutual information; Computer science; Information theory; Mutual information; Probability distribution; Random variables;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2002. Proceedings. 2002 IEEE International Symposium on
  • Print_ISBN
    0-7803-7501-7
  • Type

    conf

  • DOI
    10.1109/ISIT.2002.1023636
  • Filename
    1023636