Citation

Cristelli M, Zaccaria A, Pietronero L. Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 2012; 85(6-2): 066108.

Affiliation

Department of Physics, University of Rome "Sapienza," Piazzale Aldo Moro 5, 00185 Rome, Italy and ISC-CNR, Via dei Taurini 19, 00185 Rome, Italy.

Copyright

(Copyright © 2012, American Physical Society, Publisher American Institute of Physics)

DOI

unavailable

PMID

23005163

Abstract

We identify an important correlation between skewness and kurtosis for a broad class of complex dynamic systems and present a specific analysis of earthquake and financial time series. Two regimes of non-Gaussianity can be identified: a parabolic one, which is common in various fields of physics, and a power law one, with exponent 4/3, which at the moment appears to be specific of earthquakes and financial markets. For this property we propose a model and an interpretation in terms of very rare events dominating the statistics independently on the nature of the events considered. The predicted scaling relation between skewness and kurtosis matches very well the experimental pattern of the second regime. Regarding price fluctuations, this situation characterizes a universal stylized fact.

Language: en