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On the connection between nonextensivity and financial markets, A Langevin and Fokker-Planck analysis

Sílvio M. Duarte Queirós

Dados da publicação

Autores
Sílvio M. Duarte Queirós
Tipo
Nota de Física
Status
Publicado
Data de publicação
26/07/2010
Descrição
In this manuscript one determines the first and second Kramers-Moyal moments of the Dow Jones daily index return time series and compare them with the coefficients related to a generalised Langevin equation, proposed {\it a priori}, whose associated Fokker-Planck equation has as solution the distribution which optimises nonextensive entropy, known as \textit{Tsallis distribution}. The results obtained show that coefficients, from data and from dynamics, are similar confirming, thus, that the application of the current nonextensive statistical mechanics formalism in the treatment of financial systems has, in fact, a dynamical foundation.
Ano
2005
Número
CBPF-NF-027/05
Vínculo com tese
Não
Vínculo com bolsa
Não
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