Have a personal or library account? Click to login
The Study of Time Series Using the DMA Methods and Geophysical Applications Cover

The Study of Time Series Using the DMA Methods and Geophysical Applications

Open Access
|Dec 2016

Figures & Tables

dsj-15-610-g1.png
Figure 1

The scheme of the analysis of a time series using the FL methods.

dsj-15-610-g2.png
Figure 2

The global measure of closeness.

dsj-15-610-g3.png
Figure 3

The local measure of closeness.

dsj-15-610-g4.png
Figure 4

The function under examination.

dsj-15-610-g5.png
Figure 5

The measures of activity μDf(t) : a) based on (2), b) based on (3).

dsj-15-610-g6.png
Figure 6

Anomalies marked out using the measures of activity (Fig. 5).

dsj-15-610-g7.png
Figure 7

The measures of activity μεf(t): a) based on (7), b) based on (8), c) based on (9).

dsj-15-610-g8.png
Figure 8

Anomalies marked out using the measures of activity (Fig. 7).

dsj-15-610-g9.png
Figure 9

a) Areas of monotoneness (red is for increase, green is for decrease); b) Reduction to the initial record.

dsj-15-610-g10.png
Figure 10

A fragment of initial record (Fig. 9): a) Areas of monotoneness (red is for increase, green is for decrease); b) Reduction to the initial record.

dsj-15-610-g11.png
Figure 11

The initial time series.

dsj-15-610-g12.png
Figure 12

The corresponding activity.

dsj-15-610-g13.png
Figure 13

DPS: step 1. Results of identification of anomalies on the indicator of activity.

dsj-15-610-g14.png
Figure 14

DPS: step 2. Clustering of the intervals.

dsj-15-610-g15.png
Figure 15

DPS: final result. Reduction to the initial function.

dsj-15-610-g16.png
Figure 16

The massiveness of anomalies.

dsj-15-610-g17.png
Figure 17

Mean activity of the anomalies.

dsj-15-610-g18.png
Figure 18

Mean energy of the anomalies.

dsj-15-610-g19.png
Figure 19

Mean jaggedness of the anomalies.

dsj-15-610-g20.png
Figure 20

Mean scatterness of the anomalies.

dsj-15-610-g21.png
Figure 21

Index of anomalies based on massiveness.

dsj-15-610-g22.png
Figure 22

Index of anomalies based on mean activity.

dsj-15-610-g23.png
Figure 23

Index of anomalies based on mean energy.

dsj-15-610-g24.png
Figure 24

Index of anomalies based on mean jaggedness.

dsj-15-610-g25.png
Figure 25

Index of anomalies based on mean Scatterness.

dsj-15-610-g26.png
Figure 26

Complex index of anomalies.

dsj-15-610-g27.png
Figure 27

Anomalies marked out using: a) indLA; b) indOA; c) ind˜A.

dsj-15-610-g28.png
Figure 28

Planetary Kp index values for the period from 28.03.2016 to 08.04.2016.

dsj-15-610-g29.png
Figure 29

The results of classification of initial data into background (blue), weakly anomalous (green), anomalous (purple) and strongly anomalous (red) fragments using the measure of anomality. On the upper plot the initial record is shown, on the bottom plot the measure of anomality is displayed, calculated for this record.

Language: English
Submitted on: Jun 20, 2016
Accepted on: Oct 10, 2016
Published on: Dec 6, 2016
Published by: Ubiquity Press
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2016 Sergey Agayan, Shamil Bogoutdinov, Anatoly Soloviev, Roman Sidorov, published by Ubiquity Press
This work is licensed under the Creative Commons Attribution 4.0 License.