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
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.
event, set of events, probability, eventological distribution, multiplicative-truncated projection, multicovariance, multiplicative-truncated approximation, relative entropy.
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Received in revised form: 10.10.2010
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
\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.
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