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Superstatistical fluctuations in time series: Applications to share-price dynamics and turbulence

Superstatistical fluctuations in time series: Applications to share-price dynamics and turbulence We report a general technique to study a given experimental time series with superstatistics. Crucial for the applicability of the superstatistics concept is the existence of a parameter β that fluctuates on a large time scale as compared to the other time scales of the complex system under consideration. The proposed method extracts the main superstatistical parameters out of a given data set and examines the validity of the superstatistical model assumptions. We test the method thoroughly with surrogate data sets. Then the applicability of the superstatistical approach is illustrated using real experimental data. We study two examples, velocity time series measured in turbulent Taylor-Couette flows and time series of log returns of the closing prices of some stock market indices. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review E American Physical Society (APS)

Superstatistical fluctuations in time series: Applications to share-price dynamics and turbulence

Physical Review E , Volume 80 (3) – Sep 1, 2009
13 pages

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Publisher
American Physical Society (APS)
Copyright
Copyright © 2009 The American Physical Society
ISSN
1550-2376
DOI
10.1103/PhysRevE.80.036108
pmid
19905181
Publisher site
See Article on Publisher Site

Abstract

We report a general technique to study a given experimental time series with superstatistics. Crucial for the applicability of the superstatistics concept is the existence of a parameter β that fluctuates on a large time scale as compared to the other time scales of the complex system under consideration. The proposed method extracts the main superstatistical parameters out of a given data set and examines the validity of the superstatistical model assumptions. We test the method thoroughly with surrogate data sets. Then the applicability of the superstatistical approach is illustrated using real experimental data. We study two examples, velocity time series measured in turbulent Taylor-Couette flows and time series of log returns of the closing prices of some stock market indices.

Journal

Physical Review EAmerican Physical Society (APS)

Published: Sep 1, 2009

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