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 …

Approaching complexity by stochastic methods: From biological systems to turbulence

R Friedrich, J Peinke, M Sahimi, MRR Tabar - Physics Reports, 2011 - Elsevier
This review addresses a central question in the field of complex systems: given a fluctuating
(in time or space), sequentially measured set of experimental data, how should one analyze …

How do climate risk and clean energy spillovers, and uncertainty affect US stock markets?

R Khalfaoui, S Mefteh-Wali, JL Viviani… - … Forecasting and Social …, 2022 - Elsevier
In this study, we attempt to revisit how dependent the US stock market returns are on climate
change related risks (CCRR). In this regard, we use a spillover and connectedness network …

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 …

Are cryptocurrencies connected to forex? A quantile cross-spectral approach

E Baumöhl - Finance Research Letters, 2019 - Elsevier
This paper analyzes the connectedness between forex and cryptocurrencies using the
quantile cross-spectral approach. The sample covers six forex and six cryptocurrencies over …

Do the global grain spot markets exhibit multifractal nature?

XL Gao, YH Shao, YH Yang, WX Zhou - Chaos, Solitons & Fractals, 2022 - Elsevier
The multifractal nature of agriculture-related stocks and derivatives has been extensively
studied. However, due to the scarcity and lack of representativeness of available data, the …

Detrending moving average algorithm for multifractals

GF Gu, WX Zhou - Physical Review E—Statistical, Nonlinear, and Soft …, 2010 - APS
The detrending moving average (DMA) algorithm is a widely used technique to quantify the
long-term correlations of nonstationary time series and the long-range correlations of fractal …

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 …

Fractal and multifractal time series

JW Kantelhardt - arXiv preprint arXiv:0804.0747, 2008 - arxiv.org
Data series generated by complex systems exhibit fluctuations on many time scales and/or
broad distributions of the values. In both equilibrium and non-equilibrium situations, the …

Multi-scaling in finance

T Di Matteo - Quantitative finance, 2007 - Taylor & Francis
The most suitable paradigms and tools for investigating the scaling structure of financial time
series are reviewed and discussed in the light of some recent empirical results. Different …