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Theory of Probability and Mathematical Statistics
Theory of Probability and Mathematical Statistics
ISSN 1547-7363(online) ISSN 0094-9000(print)

 

Construction and analysis of probability models for controlled evolutionary systems


Author: M. A. Fedotkin
Translated by: V. Zaiats
Original publication: Teoriya Imovirnostei ta Matematichna Statistika, tom 85 (2011).
Journal: Theor. Probability and Math. Statist. 85 (2012), 133-147
MSC (2010): Primary 60K99, 93C99
Published electronically: January 14, 2013
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Abstract: Constructing adequate probability models is a basic problem in studies of controlled evolutionary systems. Three approaches are known nowadays to construct models of such systems. There are some disadvantages of the existing approaches and another approach, based on cybernetics, is proposed. Some features of the cybernetic approach are demonstrated in this paper by solving the well-known independence paradox.


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Additional Information

M. A. Fedotkin
Affiliation: Department of Applied Probability Theory, Faculty of Computational Mathematics and Cybernetics, N. I. Lobachevsky State University of Nizhni Novgorod, Gagarin Avenue, 23, Nizhni Novgorod, 603950, Russia
Email: fma5@rambler.ru

DOI: http://dx.doi.org/10.1090/S0094-9000-2013-00880-1
PII: S 0094-9000(2013)00880-1
Keywords: Controlled evolutionary systems, probability model, cybernetic approach, independence paradox
Received by editor(s): June 11, 2011
Published electronically: January 14, 2013
Additional Notes: This work was done within the research project “Analysis of discrete managing service systems and systems for calculation of Boole functions”, #0120.0602598, of N. I. Lobachevsky State University of Nizhni Novgorod
The paper is based on a talk delivered at the International Conference “Modern Stochastics: Theory and Applications II”, held at the Taras Shevchenko Kyiv National University on September 7–11, 2010, and is dedicated to anniversaries of the prominent Ukrainian scientists: Anatoly Skorokhod, Vladimir Korolyuk, and Igor Kovalenko.
Article copyright: © Copyright 2013 American Mathematical Society