Analyzing and forecasting financial series with singular spectral analysis

Modern techniques for managing multidimensional stochastic processes that reflect the dynamics of unstable environments are proactive, which refers to decision making based on forecasting the system’s state vector evolution. At the same time, the dynamics of open nonlinear systems are largely determ...

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Main Authors: Makshanov Andrey, Musaev Alexander, Grigoriev Dmitry
Format: Article
Language:English
Published: De Gruyter 2022-06-01
Series:Dependence Modeling
Subjects:
Online Access:https://doi.org/10.1515/demo-2022-0112
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author Makshanov Andrey
Musaev Alexander
Grigoriev Dmitry
author_facet Makshanov Andrey
Musaev Alexander
Grigoriev Dmitry
author_sort Makshanov Andrey
collection DOAJ
description Modern techniques for managing multidimensional stochastic processes that reflect the dynamics of unstable environments are proactive, which refers to decision making based on forecasting the system’s state vector evolution. At the same time, the dynamics of open nonlinear systems are largely determined by their chaotic nature, which leads to a violation of stationarity and ergodicity of the series of observations and, as a result, to a catastrophic decrease in the efficiency of forecasting algorithms based on traditional methods of multivariate statistical data analysis. In this article, we make an attempt to reduce the instability influence by employing singular spectrum analysis (SSA) algorithms. This technique has been employed in a wide class of applied data analysis problems formulated in terms of singular decomposition of data matrices: technologies of immunocomputing and SSA.
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spelling doaj.art-c0ae399b93fd480c825bd9b441b94e932022-12-22T04:28:59ZengDe GruyterDependence Modeling2300-22982022-06-0110121522410.1515/demo-2022-0112Analyzing and forecasting financial series with singular spectral analysisMakshanov Andrey0Musaev Alexander1Grigoriev Dmitry2Department of Computing Systems and Computer Science, Admiral Makarov State University of Maritime and Inland Shipping of Saint-Petersburg, 198035, St. Petersburg, RussiaSt. Petersburg Institute for Informatics and Automation of the Russian Academy of Sciences, Saint-Petersburg State Institute of Technology, 190013, St. Petersburg, RussiaSaint-Petersburg State University, Center for Econometrics and Business Analytics (CEBA), 199034, St. Petersburg, RussiaModern techniques for managing multidimensional stochastic processes that reflect the dynamics of unstable environments are proactive, which refers to decision making based on forecasting the system’s state vector evolution. At the same time, the dynamics of open nonlinear systems are largely determined by their chaotic nature, which leads to a violation of stationarity and ergodicity of the series of observations and, as a result, to a catastrophic decrease in the efficiency of forecasting algorithms based on traditional methods of multivariate statistical data analysis. In this article, we make an attempt to reduce the instability influence by employing singular spectrum analysis (SSA) algorithms. This technique has been employed in a wide class of applied data analysis problems formulated in terms of singular decomposition of data matrices: technologies of immunocomputing and SSA.https://doi.org/10.1515/demo-2022-0112multidimensional chaotic processesforecastingsingular spectrum analysisimmunocomputingforex37m2037m1090c90
spellingShingle Makshanov Andrey
Musaev Alexander
Grigoriev Dmitry
Analyzing and forecasting financial series with singular spectral analysis
Dependence Modeling
multidimensional chaotic processes
forecasting
singular spectrum analysis
immunocomputing
forex
37m20
37m10
90c90
title Analyzing and forecasting financial series with singular spectral analysis
title_full Analyzing and forecasting financial series with singular spectral analysis
title_fullStr Analyzing and forecasting financial series with singular spectral analysis
title_full_unstemmed Analyzing and forecasting financial series with singular spectral analysis
title_short Analyzing and forecasting financial series with singular spectral analysis
title_sort analyzing and forecasting financial series with singular spectral analysis
topic multidimensional chaotic processes
forecasting
singular spectrum analysis
immunocomputing
forex
37m20
37m10
90c90
url https://doi.org/10.1515/demo-2022-0112
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