• DocumentCode
    818845
  • Title

    Convergence of best φ-entropy estimates

  • Author

    Teboulle, Marc ; Vajda, Igor

  • Author_Institution
    Dept. of Math. & Stat., Maryland Univ., Baltimore, MD, USA
  • Volume
    39
  • Issue
    1
  • fYear
    1993
  • fDate
    1/1/1993 12:00:00 AM
  • Firstpage
    297
  • Lastpage
    301
  • Abstract
    Minimization problems involving φ-entropy functionals (a generalization of Boltzmann-Shannon entropy) are studied over a given set A and a sequence of sets An and the properties of their optimal solutions xφ, x n. Under certain conditions on the objective functional and the sets A and An, it is proven that as n increases to infinity, the optimal solution xn converges in L1 norm to the test φ-entropy estimate xφ
  • Keywords
    convergence; entropy; estimation theory; information theory; minimisation; Boltzmann-Shannon entropy; best φ-entropy estimates; convergence; information theory; minimisation; objective functional; Arithmetic; Automation; Convergence; Entropy; Functional analysis; H infinity control; Information theory; Mathematics; Statistics; Testing; White noise;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/18.179378
  • Filename
    179378
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=818845