Complex technique of analyzing economic time series using methods of nonlinear dynamics

  • Альфира Менлигуловна Кумратова
  • Елена Витальевна Попова
  • Дина Николаевна Савинская
  • Наталья Сергеевна Курносова
Keywords: chaotic phenomena, pseudophase space trajectories of drifting attractor Gilmore test, correlation dimension, Lyapunov exponent, K-entropy Kolmogorov Brock test residues, shuffler diagnosis

Abstract

Purpose: this article is a scientific work in the field of time series studies using the methods of classical statistics and nonlinear dynamics. Discussion: in this paper, we carried out the detailed analysis and gave the technical and economic characteristics of the object of research – the value of gold price time series. Results: the authors suggest that in the problem of selection criteria for analyzing the object of the study used two approaches. In the first case they focused on the trend of chaotic characteristics, and in the second case – on the geometric nature of the trajectories in the state space. Based on the proposed method revealed fundamental properties, trends, cycles and trends of the time series «Gold» in the simulation of its real behavior using dynamic chaos.

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Published
2015-11-03
How to Cite
Кумратова, А. М., Попова, Е. В., Савинская, Д. Н., & Курносова, Н. С. (2015). Complex technique of analyzing economic time series using methods of nonlinear dynamics. Modern Economics: Problems and Solutions, 8, 35-43. https://doi.org/10.17308/meps.2015.8/1292
Section
Mathematical Methods in Economics