• DocumentCode
    1399839
  • Title

    A Normal Law for the Plug-in Estimator of Entropy

  • Author

    Zhang, Zhiyi ; Zhang, Xing

  • Author_Institution
    Dept. of Math. & Stat., Univ. of North Carolina at Charlotte, Charlotte, NC, USA
  • Volume
    58
  • Issue
    5
  • fYear
    2012
  • fDate
    5/1/2012 12:00:00 AM
  • Firstpage
    2745
  • Lastpage
    2747
  • Abstract
    This paper establishes a sufficient condition for the asymptotic normality of the plug-in estimator of Shannon´s entropy defined on a countable alphabet. The sufficient condition covers a range of cases with countably infinite alphabets, for which no normality results were previously known.
  • Keywords
    entropy; statistical distributions; Shannon´s entropy; asymptotic normality; infinite alphabets; normal law; plug-in estimator; probability distribution; Argon; Convergence; Entropy; Estimation; Government; Information theory; Random variables; Asymptotic normality; entropy; plug-in estimator;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2179702
  • Filename
    6104404
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1399839