Multifractal analysis of financial markets: A review

ZQ Jiang, WJ Xie, WX Zhou… - Reports on Progress in …, 2019 - iopscience.iop.org
Multifractality is ubiquitously observed in complex natural and socioeconomic systems.
Multifractal analysis provides powerful tools to understand the complex nonlinear nature of …

[HTML][HTML] DCCA cross-correlation coefficient: Quantifying level of cross-correlation

GF Zebende - Physica A: Statistical Mechanics and its Applications, 2011 - Elsevier
In this paper, a new coefficient is proposed with the objective of quantifying the level of cross-
correlation between nonstationary time series. This cross-correlation coefficient is defined in …

Correlation of financial markets in times of crisis

LS Junior, IDP Franca - Physica A: Statistical Mechanics and its …, 2012 - Elsevier
Using the eigenvalues and eigenvectors of correlations matrices of some of the main
financial market indices in the world, we show that high volatility of markets is directly linked …

Multifractal detrending moving-average cross-correlation analysis

ZQ Jiang, WX Zhou - Physical Review E—Statistical, Nonlinear, and Soft …, 2011 - APS
There are a number of situations in which several signals are simultaneously recorded in
complex systems, which exhibit long-term power-law cross correlations. The multifractal …

Quantifying cross-correlations using local and global detrending approaches

B Podobnik, I Grosse, D Horvatić, S Ilic… - The European Physical …, 2009 - Springer
In order to quantify the long-range cross-correlations between two time series qualitatively,
we introduce a new cross-correlations test Q CC (m), where m is the number of degrees of …

Measuring correlations between non-stationary series with DCCA coefficient

L Kristoufek - Physica A: Statistical Mechanics and its Applications, 2014 - Elsevier
In this short report, we investigate the ability of the DCCA coefficient to measure correlation
level between non-stationary series. Based on a wide Monte Carlo simulation study, we …

Multifractal height cross-correlation analysis: A new method for analyzing long-range cross-correlations

L Kristoufek - Europhysics Letters, 2011 - iopscience.iop.org
We introduce a new method for the detection of long-range cross-correlations and
multifractality—multifractal height cross-correlation analysis (MF-HXA)—based on scaling of …

[HTML][HTML] DCCA cross-correlation coefficient apply in time series of air temperature and air relative humidity

RT Vassoler, GF Zebende - Physica A: Statistical Mechanics and its …, 2012 - Elsevier
In this paper we propose, analyze and also quantify cross-correlations between
climatological data. For this purpose we adopt the DCCA cross-correlation coefficient …

Time-lag cross-correlations in collective phenomena

B Podobnik, D Wang, D Horvatic, I Grosse… - Europhysics …, 2010 - iopscience.iop.org
We study long-range magnitude cross-correlations in collective modes of real-world data
from finance, physiology, and genomics using time-lag random matrix theory. We find long …

Cross-correlations between Chinese A-share and B-share markets

Y Wang, Y Wei, C Wu - Physica A: Statistical Mechanics and its …, 2010 - Elsevier
In this paper, we investigate the cross-correlations between Chinese A-share and B-share
markets. Qualitatively, we find that the return series of Chinese A-share and B-share markets …