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 …

Multifractal test for nonlinearity of interactions across scales in time series

DG Kelty-Stephen, E Lane, L Bloomfield… - Behavior Research …, 2023 - Springer
The creativity and emergence of biological and psychological behavior tend to be nonlinear,
and correspondingly, biological and psychological measures contain degrees of irregularity …

The inefficiency of cryptocurrency and its cross-correlation with Dow Jones Industrial Average

W Zhang, P Wang, X Li, D Shen - Physica A: Statistical Mechanics and its …, 2018 - Elsevier
As a form of cryptocurrency, the issue of informational efficiency of Bitcoin has received
much attention recently. We add to the literature by investigating nine forms of …

Statistical tests for power-law cross-correlated processes

B Podobnik, ZQ Jiang, WX Zhou, HE Stanley - Physical Review E—Statistical …, 2011 - APS
For stationary time series, the cross-covariance and the cross-correlation as functions of time
lag n serve to quantify the similarity of two time series. The latter measure is also used to …

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 …

[HTML][HTML] Revisiting detrended fluctuation analysis

RM Bryce, KB Sprague - Scientific reports, 2012 - nature.com
Half a century ago Hurst introduced Rescaled Range (R/S) Analysis to study fluctuations in
time series. Thousands of works have investigated or applied the original methodology and …

An analysis of stock market efficiency: Developed vs Islamic stock markets using MF-DFA

SAR Rizvi, G Dewandaru, OI Bacha, M Masih - Physica A: Statistical …, 2014 - Elsevier
An efficient market has been theoretically proven to be a key component for effective and
efficient resource allocation in an economy. This paper incorporates econophysics with …

Detrended partial cross-correlation analysis of two nonstationary time series influenced by common external forces

XY Qian, YM Liu, ZQ Jiang, B Podobnik, WX Zhou… - Physical Review E, 2015 - APS
When common factors strongly influence two power-law cross-correlated time series
recorded in complex natural or social systems, using detrended cross-correlation analysis …

Asymmetric multifractal cross-correlations between the main world currencies and the main cryptocurrencies

W Kristjanpoller, E Bouri - Physica A: Statistical Mechanics and Its …, 2019 - Elsevier
The price behavior of cryptocurrencies relative to conventional currencies remains relatively
understudied, despite some attempts that consider the Bitcoin market. This study examines …

Comparing the performance of FA, DFA and DMA using different synthetic long-range correlated time series

YH Shao, GF Gu, ZQ Jiang, WX Zhou, D Sornette - Scientific reports, 2012 - nature.com
Notwithstanding the significant efforts to develop estimators of long-range correlations (LRC)
and to compare their performance, no clear consensus exists on what is the best method …