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Journal of Siberian Federal University. Mathematics & Physics, 2011, Volume 4, Issue 1, Pages 50–60 (Mi jsfu161)  
This article is cited in 3 scientific papers (total in 3 papers)

Properties of the entropy of multiplicative-truncated approximations of eventological distributions

Oleg Yu. Vorobyeva, Nataly A. Lukyanovab

a Institute of Mathematics, Siberian Federal University, Krasnoyarsk, Russia
b Siberian Federal University, Krasnoyarsk, Russia
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Abstract: The theorems about entropy of eventological distributions concerning its multiplicative-truncated approximation are formulated and proved. That expands a mathematical tooling of eventology. Entropy of eventological approximations of various powers and also relative entropy of full eventological distributions of set of events in relation to the multiplicative-truncated approximations are considered on a simple example for any triplet of events.
Keywords: event, set of events, probability, eventological distribution, multiplicative-truncated projection, multicovariance, multiplicative-truncated approximation, relative entropy.
Received: 10.09.2010
Received in revised form: 10.10.2010
Accepted: 20.11.2010
Document Type: Article
UDC: 519.248
Language: English
Citation: Oleg Yu. Vorobyev, Nataly A. Lukyanova, “Properties of the entropy of multiplicative-truncated approximations of eventological distributions”, J. Sib. Fed. Univ. Math. Phys., 4:1 (2011), 50–60
Citation in format AMSBIB
\Bibitem{VorLuk11}
\by Oleg~Yu.~Vorobyev, Nataly~A.~Lukyanova
\paper Properties of the entropy of multiplicative-truncated approximations of eventological distributions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2011
\vol 4
\issue 1
\pages 50--60
\mathnet{http://mi.mathnet.ru/jsfu161}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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