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
Link To Document :
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