Karaulova A.V., Bazilevsky M.P. Construction of additive power regression model with degrees in the form of discrete time // Informacionnye tehnologii i matematicheskoe modelirovanie v upravlenii slozhnymi sistemami: ehlektronnyj nauchnyj zhurnal [Information technology and mathematical modeling in the management of complex systems: electronic scientific journal], 2022. No. 2(14). P. 1-7. DOI: 10.26731/2658-3704.2022.2(14).1-7 [Accessed 24/06/22]

10.26731/2658-3704.2022.2(14).1-7

The article is devoted to the construction of an additive power regression model with degrees in the form of discrete time functions. An algorithm for its approximate estimation using the least squares method is proposed. The proposed estimation algorithm is demonstrated by the example of statistical data of the gross regional product in the Irkutsk region and current expenditures on basic scientific research for the period 2000-2019.

- Pardoe I. Applied Regression Modeling. Wiley, 2020. 336 p.
- Noskov S.I. Technology of modeling objects with unstable functioning and uncertainty in data. - Irkutsk: Oblinformpechat, 1996.- 321 p.
- Kleiner G.B. Production functions: theory, methods, application. - M.: Finance and Statistics. 1986.- 239 p.
- Karaulova A.V., Bazilevsky M.P. Application of regression analysis in solving real problems of a technical nature // Molodaya nauka Sibir. - Irkutsk: IrGUPS, 2020.- №3(9).- pp. 229-236.
- Bazilevsky M.P. Development and research of algorithms for estimating parameters of additive power regression // Modern technologies. System analysis. The models are different. -Irkutsk: IrGUPS, 2017.- Vol. 56.- No. 4.-pp.131-138.
- Bazilevsky M.P. Construction of power-exponential regression models and their interpretation // Bulletin of the Voronezh State University. Series: System analysis and information technologies.- Voronezh: VSU, 2020.- No. 4.-pp. 19-28.
- Noskov S.I., Khonyakov A.A. A software package for constructing some types of piecewise linear regressions // Information technologies and mathematical modeling in the management of complex systems. -Irkutsk: IrGUPS, 2019.- No. 3 (4).- pp. 47-55.
- Bazilevsky M.P., Noskov S.I. Formalization of the problem of constructing linear multiplicative regression in the form of a partially Boolean linear programming problem // Modern technologies. System analysis. Modeling. -Irkutsk: IrGUPS, 2017.- №3 (55).- pp.101—105.
- Bazilevsky M.P. Construction of power-exponential and linear-logarithmic regression models // Problems of management.-M.: V.A. Trapeznikov Institute of Management Problems of the Russian Academy of Sciences, 2021.- No. 3.- pp. 25-32.
- Noskov S.I. Implementation of the competition of regression models using the criterion of consistency of behavior // Bulletin of the Voronezh State University. Series: System Analysis and Information Technologies.- Voronezh: VSU, 2021.- No. 2.- pp. 153-160.
- Bazilevsky M.P. Criteria of nonlinearity of quasi-linear regression models// Modeling, optimization and information technology.-Voronezh: Voronezh Institute of High Technologies, 2018.- No. 4.- pp. 185-195.
- Bazilevsky M. P. Criteria of nonlinearity of multifactorial quasi-linear regression // Youth and Science: actual problems of fundamental and applied research. Materials II Vsros. national scientific conference of students, postgraduates and young scientists.-Komsomolsk on Amur: Komsomolsk-on-Amur State University, 2019.- pp. 210-213.
- Bazilevsky M. P., Karaulova A.V. Preliminary estimation of the degree of non-linearity of the structural specifications of quasi-linear regressions // Matem. methods in engineering and technology. MMTT.-Saratov: Gagarin Yu.A. State Technical University, 2020. - Vol. 5.- pp. 49-52.
- Bazilevsky M. P., Karaulova A.V. Choosing the optimal ratio between accuracy and nonlinearity in the construction of quasi-linear regression models // Bulletin of Cybernetics. – Surgut: SSU, 2021.- №4 (44).- pp.63-70.
- Karaulova A.V., Bazilevsky M. P. Software package for constructing quasi-linear regressions according to accuracy and nonlinearity criteria // Economy. Computer science.- Belgorod: BGNIU, 2022. -Vol. 49.- No. 1.- pp. 121-133.