Fractional dynamics in financial indexes

Bibliographic Details
Main Author: Machado, J. A. Tenreiro
Publication Date: 2012
Other Authors: Duarte, Fernando B., Duarte, Gonçalo Monteiro
Format: Article
Language: eng
Source: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Download full: http://hdl.handle.net/10400.22/4134
Summary: The goal of this study is the analysis of the dynamical properties of financial data series from 32 worldwide stock market indices during the period 2000–2009 at a daily time horizon. Stock market indices are examples of complex interacting systems for which a huge amount of data exists. The methods and algorithms that have been explored for the description of physical phenomena become an effective background in the analysis of economical data. In this perspective are applied the classical concepts of signal analysis, Fourier transform and methods of fractional calculus. The results reveal classification patterns typical of fractional dynamical systems.
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spelling Fractional dynamics in financial indexesFourier transformPower lawDynamicsFractional calculusThe goal of this study is the analysis of the dynamical properties of financial data series from 32 worldwide stock market indices during the period 2000–2009 at a daily time horizon. Stock market indices are examples of complex interacting systems for which a huge amount of data exists. The methods and algorithms that have been explored for the description of physical phenomena become an effective background in the analysis of economical data. In this perspective are applied the classical concepts of signal analysis, Fourier transform and methods of fractional calculus. The results reveal classification patterns typical of fractional dynamical systems.World ScientificRepositório Científico do Instituto Politécnico do PortoMachado, J. A. TenreiroDuarte, Fernando B.Duarte, Gonçalo Monteiro2014-03-06T14:47:26Z20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.22/4134eng0218-127410.1142/S0218127412502495info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-03-13T12:43:59Zoai:recipp.ipp.pt:10400.22/4134Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:25:01.082139Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Fractional dynamics in financial indexes
title Fractional dynamics in financial indexes
spellingShingle Fractional dynamics in financial indexes
Machado, J. A. Tenreiro
Fourier transform
Power law
Dynamics
Fractional calculus
title_short Fractional dynamics in financial indexes
title_full Fractional dynamics in financial indexes
title_fullStr Fractional dynamics in financial indexes
title_full_unstemmed Fractional dynamics in financial indexes
title_sort Fractional dynamics in financial indexes
author Machado, J. A. Tenreiro
author_facet Machado, J. A. Tenreiro
Duarte, Fernando B.
Duarte, Gonçalo Monteiro
author_role author
author2 Duarte, Fernando B.
Duarte, Gonçalo Monteiro
author2_role author
author
dc.contributor.none.fl_str_mv Repositório Científico do Instituto Politécnico do Porto
dc.contributor.author.fl_str_mv Machado, J. A. Tenreiro
Duarte, Fernando B.
Duarte, Gonçalo Monteiro
dc.subject.por.fl_str_mv Fourier transform
Power law
Dynamics
Fractional calculus
topic Fourier transform
Power law
Dynamics
Fractional calculus
description The goal of this study is the analysis of the dynamical properties of financial data series from 32 worldwide stock market indices during the period 2000–2009 at a daily time horizon. Stock market indices are examples of complex interacting systems for which a huge amount of data exists. The methods and algorithms that have been explored for the description of physical phenomena become an effective background in the analysis of economical data. In this perspective are applied the classical concepts of signal analysis, Fourier transform and methods of fractional calculus. The results reveal classification patterns typical of fractional dynamical systems.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
2014-03-06T14:47:26Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10400.22/4134
url http://hdl.handle.net/10400.22/4134
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0218-1274
10.1142/S0218127412502495
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv World Scientific
publisher.none.fl_str_mv World Scientific
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
repository.mail.fl_str_mv
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