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Construction of a production function in the form of series of exponents of a function of a complex variable (on the example of the Czech Republic 2006-2021)

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  • Yekimov, Sergey

Abstract

Economic and mathematical models allow researchers to find out the causal relationship between various economic indicators and determine internal and external factors of interaction. Production functions allow us to model the dependence of the dynamics of factors of production on the dynamics of economic growth. Interpolation of numerical series by the Dirichlet series makes it possible to achieve good results of approximation of numerical series by analytical functions . Public authorities need accurate and up-to-date information about the state of the economy in order to make effective management decisions. In the opinion of the author, interpolation methods in economic analysis are undeservedly relegated to the background. Therefore, within the framework of this study, the production function of the Czech Republic was constructed on the basis of interpolation of numerical series by series of exponents of a complex variable. Interpolation of numerical series by series of exponents of a multiplex variable allows to achieve an approximation accuracy not inferior to regression analysis

Suggested Citation

  • Yekimov, Sergey, 2023. "Construction of a production function in the form of series of exponents of a function of a complex variable (on the example of the Czech Republic 2006-2021)," MPRA Paper 117076, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:117076
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    File URL: https://mpra.ub.uni-muenchen.de/117076/1/MPRA_paper_117076.pdf
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    References listed on IDEAS

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    1. Luis Orea & Antonio Alvarez, 2022. "Alternative specifications of human capital in production functions," Economics and Business Letters, Oviedo University Press, vol. 11(4), pages 172-179.
    2. Sergey Baranov & Tatiana Skufina & Vera Samarina, 2023. "Influence of Underutilization of Production Capacities on the Dynamics of Russian GDP: An Assessment on the Basis of Production Functions," JRFM, MDPI, vol. 16(3), pages 1-10, March.
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      Keywords

      Production function ; complex variable function ; Dirichlet series ; Czech Republic;
      All these keywords.

      JEL classification:

      • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - General
      • O10 - Economic Development, Innovation, Technological Change, and Growth - - Economic Development - - - General

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