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Economic Analysis: Theory and Practice
 

Spline analysis of thread correlation

Vol. 19, Iss. 1, JANUARY 2020

Received: 25 November 2019

Received in revised form: 11 December 2019

Accepted: 25 December 2019

Available online: 30 January 2020

Subject Heading: MATHEMATICAL METHODS AND MODELS

JEL Classification: C01, C02

Pages: 173–187

https://doi.org/10.24891/ea.19.1.173

Il'yasov R.Kh. Chechen State University (CHSU), Grozny, Chechen Republic, Russian Federation ilyasov_95@mail.ru https://orcid.org/0000-0001-7040-798X

Subject The article deals with searching for correlation between threads in continuous- time modeling.
Objectives The aim is to analyze the efficiency of spline approximation of discrete changes in stock, its transformation into continuous flows with a search for ‘latent’ correlations between economic indicators.
Methods If in discrete-time models it is possible to transfer to threads through calculating the chain growth, in continuous-time models it is offered to convert stock into flows through differentiation of the function of stock movements.
Results The first derivatives of variables, i.e. threads, enable to find a correlation in the slowdown and acceleration of processes – between the flow of oil exports and the money supply in the Russian economy, which was not observed in the dynamics of absolute indicators of economic movements.
Conclusions Spline simulation of changes in money supply enables to convert it into a thread, and then compare it with the flow of oil exports. Between the flows of money supply and oil exports, the ‘hidden’ correlation has now been clearly revealed. It had never been achieved by methods of classical econometrics. In practice, the proposed method of finding correlations could be useful for researching the links between flows, both in the international economy and in individual countries, industries and enterprises. Analytical representation of relationship between stock-to-thread indicators can also be useful for managing the logistics processes.

Keywords: stock, thread, spline, derivative, correlation

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