• DocumentCode
    2944002
  • Title

    The Monotonicity of Information in the Central Limit Theorem and Entropy Power Inequalities

  • Author

    Madiman, Mokshay ; Barron, Andrew

  • Author_Institution
    Dept. of Stat., Yale Univ., New Haven, CT
  • fYear
    2006
  • fDate
    9-14 July 2006
  • Firstpage
    1021
  • Lastpage
    1025
  • Abstract
    We provide a simple proof of the monotonicity of information in the central limit theorem for i.i.d. summands. Extensions to the more general case of independent, not identically distributed summands are also presented. New families of Fisher information and entropy power inequalities are discussed
  • Keywords
    entropy; Fisher information; central limit theorem; entropy power inequalities; Convergence; Entropy; Gaussian distribution; Random variables; Standardization; Statistical distributions;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 2006 IEEE International Symposium on
  • Conference_Location
    Seattle, WA
  • Print_ISBN
    1-4244-0505-X
  • Electronic_ISBN
    1-4244-0504-1
  • Type

    conf

  • DOI
    10.1109/ISIT.2006.261882
  • Filename
    4036119
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=2944002