Multifractal detrended cross-correlation analysis for two nonstationary signals

Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Jun;77(6 Pt 2):066211. doi: 10.1103/PhysRevE.77.066211. Epub 2008 Jun 18.

Abstract

We propose a method called multifractal detrended cross-correlation analysis to investigate the multifractal behaviors in the power-law cross-correlations between two time series or higher-dimensional quantities recorded simultaneously, which can be applied to diverse complex systems such as turbulence, finance, ecology, physiology, geophysics, and so on. The method is validated with cross-correlated one- and two-dimensional binomial measures and multifractal random walks. As an example, we illustrate the method by analyzing two financial time series.