• DocumentCode
    1780523
  • Title

    Entropy inequalities for sums over several subsets and their applications to average entropy

  • Author

    Kishi, Y. ; Ochiumi, Nozomu ; Yanagida, M.

  • Author_Institution
    Dept. Math. Inform. Sci., Tokyo Univ. of Sci., Tokyo, Japan
  • fYear
    2014
  • fDate
    June 29 2014-July 4 2014
  • Firstpage
    2824
  • Lastpage
    2828
  • Abstract
    For a set of random variables and a family of its subsets, Shearer´s inequality is well known as a generalization of the subadditivity of joint entropy. In this paper we generalize this inequality in case that each set of t random variables is contained in at least λ subsets. We also give a refinement of Han´s inequality on monotonicity of the average entropy.
  • Keywords
    entropy; set theory; Han inequality; Shearer inequality; average entropy; entropy inequalities; random variables; Educational institutions; Electronic mail; Entropy; Information theory; Joints; Random variables; Upper bound;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory (ISIT), 2014 IEEE International Symposium on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/ISIT.2014.6875349
  • Filename
    6875349
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1780523