• DocumentCode
    113204
  • Title

    A tight lower bound on the mutual information of a binary and an arbitrary finite random variable as a function of the variational distance

  • Author

    Stefani, Arno G. ; Huber, Johannes B. ; Jardin, Christophe ; Sticht, Heinrich

  • Author_Institution
    Inst. for Inf. Transm. (LIT) FAU Erlangen-Nuremberg Erlangen, Erlangen, Germany
  • fYear
    2014
  • fDate
    3-5 Feb. 2014
  • Firstpage
    1
  • Lastpage
    4
  • Abstract
    In this paper a numerical method is presented, which finds a tight lower bound for the mutual information between a binary and an arbitrary finite random variable with joint distributions that have variational distance to a known joint distribution not greater than a known value. This lower bound can be applied to mutual information estimation with confidence intervals.
  • Keywords
    information theory; numerical analysis; statistical distributions; arbitrary finite random variable; binary finite random variable; confidence intervals; joint distributions; mutual information estimation; numerical method; tight lower bound; variational distance; Conferences; Joints; Minimization; Mutual information; Optimization; Probability distribution; Random variables;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Communications Theory Workshop (AusCTW), 2014 Australian
  • Conference_Location
    Sydney, NSW
  • Type

    conf

  • DOI
    10.1109/AusCTW.2014.6766418
  • Filename
    6766418