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J. Sib. Fed. Univ. Math. Phys., 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

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.

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UDC: 519.248
Received: 10.09.2010
Received in revised form: 10.10.2010
Accepted: 20.11.2010
Language:

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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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Semenova D. Lukyanova N., “Random Set Decomposition of Discrete-Continuous Random Variables”, 2012 IV International Conference Problems of Cybernetics and Informatics (Pci), ed. AidaZade K., IEEE, 2012  isi
    2. Natalia A. Lukyanova, Daria V. Semenova, “The study of discrete probabilistic distributions of random sets of events using associative function”, Zhurn. SFU. Ser. Matem. i fiz., 7:4 (2014), 500–514  mathnet
    3. D. V. Semenova, N. A. Lukyanova, “Rekurrentnoe postroenie diskretnykh veroyatnostnykh raspredelenii sluchainykh mnozhestv sobytii”, PDM, 2014, no. 4(26), 47–58  mathnet
    		• Журнал Сибирского федерального университета. Серия "Математика и физика"
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