Modeling Multivalued Dynamic Series of Financial Indexes on the Basis of Minimax Approximation

Zahid Mamedov, Irina Vygodchikova, Ayaz Aliev, Lira Gurieva and Natalia Rud
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Zahid Mamedov: Department of Finance and Financial Institutions, Azerbaijan State University of Economics, Baku 1001, Azerbaijan
Irina Vygodchikova: Department of Differential Equations & Mathematic Economics, National Research Saratov State University Named after N. G. Chernyshevsky, 410012 Saratov, Russia
Ayaz Aliev: Department of Financial Management, Plekhanov Russian University of Economics, 117997 Moscow, Russia
Lira Gurieva: Department of Management, North Ossetian State University Named after K. L. Khetagurov, 362025 Vladikavkaz, Russia
Natalia Rud: Department of World Economy and Customs, North-Caucasus Federal University, 357502 Pyatigorski, Russia

Energies, 2022, vol. 15, issue 1, 1-18

Abstract: In this article, the problem of modeling a time series using the Minimax method is considered. The expediency of using Minimax to identify points of change in trends and the range of changes in the graphical figures of technical analysis is justified. Spline approximation of the dynamic process with range constraints was performed to improve the quality of the model. Investors are advised to refrain from making hasty decisions in favor of holding reliable shares (such as PJSC Novatek shares), rather than selling them. The purchase of new shares should be carefully analyzed. Through an approximation of the dynamic number of the applicable optimization problem of minimizing the maximum Hausdorff distances between the ranges of the dynamic series and the values of the approximating function, the applied approach can provide reliable justification for signals to buy shares. Energy policy occupies the highest place in the list of progress ratings according to news analytics of businesses related to the energy sector of the economy. At the same time, statistical indicators and technologies of expert developments in this field, including intellectual analysis, can become an important basis for the development of a robotic knowledge program in the field under study, an organic addition to which is the authors’ methodology of development in energy economics as in energy policy. This paper examines the model of approximation of the multivalued time series of PJSC Novatek, represented as a series of ranges of numerical values of the indicators of financial markets, with constraints on the approximating function. The authors consider it advisable for promising companies to apply this approach for successful long-term investment.

Keywords: Minimax; dynamic ranges; multivalued dynamic series; Hausdorff distances; approximation model; constraint; financial market (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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