• DocumentCode
    2207850
  • Title

    On the statistical estimation of Rényi entropies

  • Author

    Liitiäinen, Elia ; Lendasse, Amaury ; Corona, Francesco

  • Author_Institution
    Dept. of Inf. & Comput. Sci., Helsinki Univ. of Technol., Helsinki, Finland
  • fYear
    2009
  • fDate
    1-4 Sept. 2009
  • Firstpage
    1
  • Lastpage
    6
  • Abstract
    Estimating entropies is important in many fields including statistical physics, machine learning and statistics. While the Shannon logarithmic entropy is the most fundamental, other Reacutenyi entropies are also of importance. In this paper, we derive a bias corrected estimator for a subset of Renyi entropies. The advantage of the estimator is demonstrated via theoretical and experimental considerations.
  • Keywords
    entropy; statistical analysis; Renyi entropy; Shannon logarithmic entropy; bias corrected estimator; statistical estimation; Computer science; Corona; Entropy; Estimation theory; Information theory; Machine learning; Nearest neighbor searches; Physics; Statistics;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Machine Learning for Signal Processing, 2009. MLSP 2009. IEEE International Workshop on
  • Conference_Location
    Grenoble
  • Print_ISBN
    978-1-4244-4947-7
  • Electronic_ISBN
    978-1-4244-4948-4
  • Type

    conf

  • DOI
    10.1109/MLSP.2009.5306242
  • Filename
    5306242