Heuristic Analysis of Time Series Internal Structure

  • Cihan Mert International Black Sea University
  • Alexander Milnikov International Black Sea University

Abstract

A method of analysis of Time Series Internal Structures based on Singular Spectrum Analysis is discussed. It has been shown that in the case when the Time Series contains deterministic additive components rank of the trajectory matrices equal to number of parameters of the components. Also it was proved that both eigen and factor vectors repeat shapes of the additive components and both eigen values and eigen vectors can be divided into additive groups. Some useful patterns of deterministic components were identified, which permit to provide graphical analysis of times series Internal Structures.

Author Biographies

Cihan Mert, International Black Sea University
PhD candidate at Faculty of Computer Technologies and Engineering
Alexander Milnikov, International Black Sea University

Faculty of Computer Technologies and Engineering

Prof. Dr. 

Published
2011-01-26
How to Cite
MERT, Cihan; MILNIKOV, Alexander. Heuristic Analysis of Time Series Internal Structure. IBSU Scientific Journal, [S.l.], v. 4, n. 2, p. 149-155, jan. 2011. ISSN 2233-3002. Available at: <https://journal.ibsu.edu.ge/index.php/ibsusj/article/view/155>. Date accessed: 09 aug. 2020.
Section
Mathematics

Keywords

Singular spectrum Analysis; Time series decomposition; Singular vectors; singular values; deterministic additive components; patterns