Mathematical models of rating analyses

  • Catherine G. Gospodarik Belarusian State University, 4 Niezaliezhnasci Avenue, Minsk 220030, Belarus; Financial University under the Government of the Russian Federation, 49 Leningradskii Avenue, Moscow 125167, Russia
  • Mikhail M. Kovalev Belarusian State University, 4 Niezaliezhnasci Avenue, Minsk 220030, Belarus

Abstract

The article outlines modern mathematical models of ratings and rankings used in comparative economic analysis. A view on the theory of ratings is presented both from the point of the theory of collective choice and from the point of the theory of constructing composite indices, which give the most common rating models based on the construction of a composite rating index. Rating models based on factor and cluster analysis, as well as graph models and models based on optimisation problems of finding the order least deviating from the specified ones are also developed.

Author Biographies

Catherine G. Gospodarik, Belarusian State University, 4 Niezaliezhnasci Avenue, Minsk 220030, Belarus; Financial University under the Government of the Russian Federation, 49 Leningradskii Avenue, Moscow 125167, Russia

PhD (economics), docent; head of the department of analytical economics and econometrics, faculty of economics, Belarusian State University, and professor at the department of business analysis, Financial University under the Government of the Russian Federation
 

Mikhail M. Kovalev, Belarusian State University, 4 Niezaliezhnasci Avenue, Minsk 220030, Belarus

doctor of science (physics and mathematics), full professor; professor at the department of analytical economics and econometrics, faculty of economics

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Published
2023-12-13
Keywords: rating, ranking, Condorcet majority model, cluster analysis, Bord score model, Simpson model, Copland model, Nash model, rating model based on a consolidated rating index, aggregation of indicators, model based on linear orders, model based on factor analysis, model based on cluster analysis, optimisation model partitions into classes
How to Cite
Gospodarik, C. G., & Kovalev, M. M. (2023). Mathematical models of rating analyses. Journal of the Belarusian State University. Economics, 2, 4-19. Retrieved from https://journals.bsu.by/index.php/economy/article/view/5796
Issue
No 2 (2023): Journal of the Belarusian State University. Economics
Section
C. Mathematical and Quantitative Methods

Copyright (c) 2023 Journal of the Belarusian State University. Economics

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