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 Meždunar. nauč.-issled. žurn., 2016, Issue 8-3(50), Pages 158–164 (Mi irj146)

PHYSICS AND MATHEMATICS

Rating as a consequence of maximum entropy principle

A. M. Shayduka, S. A. Ostaninb, G. A. Semenovc

a The Altay State Medical University, Medical Biophysics Faculty
b Altai State University, Barnaul
c Sant-Petersburg State Agrarian University

Abstract: For the mathematical modeling of complex social systems used methods of statistical physics. Analytically proved that the rating of teachers of educational institutions is determined by the principle of maximum entropy. Standardized rating curve has the form of the Boltzmann distribution. The magnitude of deviations from the Boltzmann distribution curve rating may be quantified amount of control to the system elements. Analysis of the rating curve in the semi-log scale allows you to discover the hidden structure of the system - to determine the number of subsystems and their statistical characteristics.

Keywords: rating, control of complex systems, methods of statistical physics

DOI: https://doi.org/10.18454/IRJ.2016.50.221

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Citation: A. M. Shayduk, S. A. Ostanin, G. A. Semenov, “Rating as a consequence of maximum entropy principle”, Meždunar. nauč.-issled. žurn., 2016, no. 8-3(50), 158–164

Citation in format AMSBIB
\Bibitem{ShaOstSem16} \by A.~M.~Shayduk, S.~A.~Ostanin, G.~A.~Semenov \paper Rating as a consequence of maximum entropy principle \jour Me{\v z}dunar. nau{\v{c}}.-issled. {\v z}urn. \yr 2016 \issue 8-3(50) \pages 158--164 \mathnet{http://mi.mathnet.ru/irj146} \crossref{https://doi.org/10.18454/IRJ.2016.50.221}