• DocumentCode
    1525142
  • Title

    On Pairs of f -Divergences and Their Joint Range

  • Author

    Harremoës, Peter ; Vajda, Igor

  • Author_Institution
    Copenhagen Bus. Coll., Copenhagen, Denmark
  • Volume
    57
  • Issue
    6
  • fYear
    2011
  • fDate
    6/1/2011 12:00:00 AM
  • Firstpage
    3230
  • Lastpage
    3235
  • Abstract
    We compare two f-divergences and prove that their joint range is the convex hull of the joint range for distributions supported on only two points. The proofs use various methods from topology and convex analysis.
  • Keywords
    convex programming; information theory; statistical testing; convex analysis; convex hull; joint range; Atmospheric measurements; Convex functions; Density measurement; Joints; Loss measurement; Particle measurements; Testing; $f$-divergence; Convexity; joint range;
  • fLanguage
    English
  • Journal_Title
    Information Theory, IEEE Transactions on
  • Publisher
    ieee
  • ISSN
    0018-9448
  • Type

    jour

  • DOI
    10.1109/TIT.2011.2137353
  • Filename
    5773031
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1525142