The problem of processing time series: Extending possibilities of the local approximation method using singular spectrum analysis
Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 148-159
Voir la notice de l'article provenant de la source Math-Net.Ru
We present algorithms for singular spectrum analysis and local approximation methods used to extrapolate time series. We analyze the advantages and disadvantages of these methods and consider the peculiarities of applying them to various systems. Based on this analysis, we propose a generalization of the local approximation method that makes it suitable for forecasting very noisy time series. We present the results of numerical simulations illustrating the possibilities of the proposed method.
Keywords:
time series, forecast, local approximation.
Mots-clés : chaos
Mots-clés : chaos
@article{TMF_2005_142_1_a12,
author = {I. A. Istomin and O. L. Kotlyarov and A. Yu. Loskutov},
title = {The problem of processing time series: {Extending} possibilities of the local approximation method using singular spectrum analysis},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {148--159},
publisher = {mathdoc},
volume = {142},
number = {1},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a12/}
}
TY - JOUR AU - I. A. Istomin AU - O. L. Kotlyarov AU - A. Yu. Loskutov TI - The problem of processing time series: Extending possibilities of the local approximation method using singular spectrum analysis JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2005 SP - 148 EP - 159 VL - 142 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a12/ LA - ru ID - TMF_2005_142_1_a12 ER -
%0 Journal Article %A I. A. Istomin %A O. L. Kotlyarov %A A. Yu. Loskutov %T The problem of processing time series: Extending possibilities of the local approximation method using singular spectrum analysis %J Teoretičeskaâ i matematičeskaâ fizika %D 2005 %P 148-159 %V 142 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a12/ %G ru %F TMF_2005_142_1_a12
I. A. Istomin; O. L. Kotlyarov; A. Yu. Loskutov. The problem of processing time series: Extending possibilities of the local approximation method using singular spectrum analysis. Teoretičeskaâ i matematičeskaâ fizika, Tome 142 (2005) no. 1, pp. 148-159. http://geodesic.mathdoc.fr/item/TMF_2005_142_1_a12/