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Conditional probability spaces and closures of exponential families
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SYSNO ASEP 0356511 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title Conditional probability spaces and closures of exponential families Author(s) Matúš, František (UTIA-B) RID Source Title Proceedings of WUPES 2009. - Prague : University of Economics, 2009 / Kroupa Tomáš ; Vejnarová Jiřina - ISBN 978-80-245-1543-4 Pages s. 1-10 Number of pages 10 s. Publication form WWW - WWW Action 8th Workshop on Uncertainty Processing Event date 19.09.2009-23.09.2009 VEvent location Liblice Country CZ - Czech Republic Event type WRD Language eng - English Country CZ - Czech Republic Keywords exponential family ; conditional probability ; closure Subject RIV BA - General Mathematics R&D Projects IAA100750603 GA AV ČR - Academy of Sciences of the Czech Republic (AV ČR) GA201/08/0539 GA ČR - Czech Science Foundation (CSF) CEZ AV0Z10750506 - UTIA-B (2005-2011) Annotation A set of conditional probabilities is introduced by conditioning in the probability measures from an exponential family. A closure of the set is found, using previous results on the closure of another exponential family in the variational distance. The conditioning in the exponential family of all positive probabilities on a finite space is discussed and related to the permutahedra. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2011
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