Journal of Siberian Federal University. Mathematics & Physics / Properties of the Entropy of Multiplicative-Truncated Approximations of Eventological Distributions

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. 2011 4 (1)
Authors
Vorobyev, Oleg Yu.; Lukyanova, Nataly A.
Contact information
Vorobyev, Oleg Yu. : Institute of Mathematics, Siberian Federal University , Svobodny, 79, Krasnoyarsk, 660041 Russia , e-mail: ; Lukyanova, Nataly A. : Siberian Federal University , Kirensky, 26, Krasnoyarsk, 660074, Russia , e-mail:
Keywords
event; set of events; probability; eventological distribution; multiplicative-truncated projection; multicovariance; multiplicative-truncated approximation; relative entropy
Abstract

The theorems about entropy of eventological distributions concerning its multiplicative-truncated approxi- mation are formulated and proved. That expands a mathematical tooling of eventology. Entropy of even- tological 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.

Pages
50-60
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/2162