ANALYSIS OF SELF-SIMILARITY OF MULTIVARIATE TIME SERIES (TS) ON THE BASIS OF THE METHODS OF INTELLECTUAL ANALYSIS OF THE DATA

Yu.N. Minaev, N.N. Guziy, O.Yu Filimonova., J.I. Minaeva

Èlektron. model. 2017, 39(4):43-68
https://doi.org/10.15407/emodel.39.04.043

ABSTRACT

Calculation methods have been proposed for the Hurst factor for univariate and multivariate TS on the basis of the main diagonals of TS tensor models. It is shown that the problem complexity determines the joint use of several mathematical theories, in particular, the tensor and multivariate matrix analysis. The examples of using the proposed methods are presented.

KEYWORDS

tensor, multivariate time series, intellectual analysis of the data, 3D matrices, diagonal 3D matrices, matrix development, self-similarity, Hurst parameter.

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