• DocumentCode
    1830557
  • Title

    Exceptionality of the Variational Distance

  • Author

    Khosravifard, M. ; Fooladivanda, D. ; Gulliver, T.A.

  • Author_Institution
    Dept. of Electr. & Comput. Eng., Isfahan Technol. Univ.
  • fYear
    2006
  • fDate
    22-26 Oct. 2006
  • Firstpage
    274
  • Lastpage
    276
  • Abstract
    Csiszar f-divergences are an important class of distances for probability distributions. In particular, a well-known Csiszar f-divergence is the variational distance which is also a metric. Here, we prove that the variational distance is actually the unique Csiszar f-divergence which satisfies all metric conditions
  • Keywords
    information theory; statistical analysis; statistical distributions; Csiszar f-divergences; information theory; probability distributions; probability theory; variational distance exceptionality; Probability distribution;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory Workshop, 2006. ITW '06 Chengdu. IEEE
  • Conference_Location
    Chengdu
  • Print_ISBN
    1-4244-0067-8
  • Electronic_ISBN
    1-4244-0068-6
  • Type

    conf

  • DOI
    10.1109/ITW2.2006.323802
  • Filename
    4119300
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=1830557