2010/12/21 by Erik Van der Straeten, Christian Beck, Van der Straeten, Erik +1
Economics, Econometrics and Finance · Physics and Astronomy · #Complex Systems and Time Series Analysis #FOS: Physical sciences #Financial Risk and Volatility Modeling #Statistical Mechanics (cond-mat.stat-mech) #Statistical Mechanics and Entropy
paper · pdf · doi:10.48550/arxiv.1012.4631
openalex publication_date 2010/12/21 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28
The superstatistics concept is a useful statistical method to describe\ninhomogeneous complex systems for which a system parameter \β fluctuates\non a large spatio-temporal scale. In this paper we analyze a measured time\nseries of wind speed fluctuations and extract the superstatistical distribution\nfunction f(\β) directly from the data. We construct suitable Langevin and\nFokker-Planck models with a position dependent \β-field and show that they\nreduce to standard type of superstatistics in the overdamped limit.\n