• DocumentCode
    1780525
  • Title

    A lower bound on the Rényi entropy of convolutions in the integers

  • Author

    Liyao Wang ; Jae Oh Woo ; Madiman, Mokshay

  • Author_Institution
    Dept. of Phys., Yale Univ., New Haven, CT, USA
  • fYear
    2014
  • fDate
    June 29 2014-July 4 2014
  • Firstpage
    2829
  • Lastpage
    2833
  • Abstract
    A simple new lower bound is provided for the Rényi entropy of the convolution of probability distributions on the integers in terms of certain (discrete) rearrangements of these distributions. This inequality may be thought of as an entropy power inequality for integer-valued random variables.
  • Keywords
    convolution; entropy; number theory; random processes; statistical distributions; convolutions Renyi entropy; entropy power inequality; integer-valued random variables; integers; lower bound; probability distribution rearrangement; Additives; Convex functions; Educational institutions; Entropy; Information theory; Random variables;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory (ISIT), 2014 IEEE International Symposium on
  • Conference_Location
    Honolulu, HI
  • Type

    conf

  • DOI
    10.1109/ISIT.2014.6875350
  • Filename
    6875350
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1780525