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
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