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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
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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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http://mi.mathnet.ru/eng/jsfu161 http://mi.mathnet.ru/eng/jsfu/v4/i1/p50
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This publication is cited in the following articles:
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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
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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
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D. V. Semenova, N. A. Lukyanova, “Rekurrentnoe postroenie diskretnykh veroyatnostnykh raspredelenii sluchainykh mnozhestv sobytii”, PDM, 2014, no. 4(26), 47–58
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