• DocumentCode
    2936245
  • Title

    Revisiting the Huber-Strassen minimax theorem for capacities

  • Author

    Schwarte, Heinrich ; Sadowsky, John S.

  • Author_Institution
    Dept. of Math., Essen Univ., Germany
  • fYear
    1995
  • fDate
    17-22 Sep 1995
  • Firstpage
    423
  • Abstract
    We revisit the abstract minimax theorem of Huber and Strassen (1973, 1974) with the goal of removing the weak compactness condition. To do so, we require different topological conditions: we take E to be a locally compact space for which every open set is a Kσ (i.e., a countable union of compacts). We point out that a regular, 2-alternating Choquet capacity can be extended to the one-point compactification E´ of E with the point at infinity in such a manner that the Huber-Strassen construction of a least favourable pair applies to the compactified space
  • Keywords
    information theory; minimax techniques; probability; topology; Huber-Strassen minimax theorem; abstract minimax theorem; capacities; compactified space; countable union; least favourable pair; locally compact space; one-point compactification; open set; regular 2-alternating Choquet capacity; topological conditions; weak compactness condition; Cities and towns; Contamination; Electric variables measurement; Extraterrestrial measurements; Mathematics; Minimax techniques; Pollution measurement; Probability distribution; Testing; Topology;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Information Theory, 1995. Proceedings., 1995 IEEE International Symposium on
  • Conference_Location
    Whistler, BC
  • Print_ISBN
    0-7803-2453-6
  • Type

    conf

  • DOI
    10.1109/ISIT.1995.550410
  • Filename
    550410