Journal
PHYSICAL REVIEW E
Volume 80, Issue 3, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.80.036108
Keywords
Couette flow; econophysics; fluctuations; statistical analysis; stock markets; time series; turbulence
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Funding
- EPSRC [EP/E049257/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/E049257/1] Funding Source: researchfish
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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 beta 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.
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