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In the paper, we introduce a new measure of correlation between possibly non-stationary series. As the measure is based on the detrending moving-average cross-correlation analysis (DMCA), we label it as the DMCA coefficient…

Statistical Finance · Quantitative Finance 2014-03-27 Ladislav Kristoufek

This paper examines the degree of integration at euro area financial markets. To that end, we estimate overall and country-specific integration indices based on a panel vector-autoregression with factor stochastic volatility. Our results…

Econometrics · Economics 2023-10-13 Martin Feldkircher , Karin Klieber

We investigate the daily correlation present among market indices of stock exchanges located all over the world in the time period Jan 1996 - Jul 2009. We discover that the correlation among market indices presents both a fast and a slow…

Statistical Finance · Quantitative Finance 2011-08-16 Dong-Ming Song , Michele Tumminello , Wei-Xing Zhou , Rosario N. Mantegna

We explore the effect of past market movements on the instantaneous correlations between assets within the futures market. Quantifying this effect is of interest to estimate and manage the risk associated to portfolios of futures in a…

Statistical Finance · Quantitative Finance 2020-01-13 Armine Karami , Raphael Benichou , Michael Benzaquen , Jean-Philippe Bouchaud

Recent studies have identified long-range dependence as a key feature in the dynamics of both mortality and interest rates. Building on this insight, we develop a novel bi-variate stochastic framework based on mixed fractional Brownian…

Risk Management · Quantitative Finance 2025-08-26 Kenneth Q. Zhou , Hongjuan Zhou

We propose a general interpretation for long-range correlation effects in the activity and volatility of financial markets. This interpretation is based on the fact that the choice between `active' and `inactive' strategies is subordinated…

Condensed Matter · Physics 2007-05-23 Jean-Philippe Bouchaud , Irene Giardina , Marc Mezard

Standard methods and theories in finance can be ill-equipped to capture highly non-linear interactions in financial prediction problems based on large-scale datasets, with deep learning offering a way to gain insights into correlations in…

Computational Finance · Quantitative Finance 2020-04-22 Ben Moews , Gbenga Ibikunle

This paper studies the daily connectivity time series of a wind speed-monitoring network using multifractal detrended fluctuation analysis. It investigates the long-range fluctuation and multifractality in the residuals of the connectivity…

Data Analysis, Statistics and Probability · Physics 2018-07-31 Mohamed Laib , Luciano Telesca , Mikhail Kanevski

Different routing strategies may result in different behaviors of traffic on internet. We analyze the correlation of traffic data for three typical routing strategies by the detrended fluctuation analysis (DFA) and find that the degree of…

Networking and Internet Architecture · Computer Science 2008-06-12 Xiaoyan Zhu , Zonghua Liu , Ming Tang

We investigate how simultaneously recorded long-range power-law correlated multi-variate signals cross-correlate. To this end we introduce a two-component ARFIMA stochastic process and a two-component FIARCH process to generate coupled…

Statistical Finance · Quantitative Finance 2009-11-13 Boris Podobnik , Davor Horvatic , Alfonso Lam Ng , H. Eugene Stanley , Plamen Ch. Ivanov

This paper investigates the presence of long memory in corporate bond and stock indices of six European Union countries from July 1998 to February 2015. We compute the Hurst exponent by means of the DFA method and using a sliding window in…

Statistical Finance · Quantitative Finance 2016-05-24 Lisana B. Martinez , M. Belen Guercio , Aurelio F. Bariviera , Antonio Terceño

Correlations in complex systems are often obscured by nonstationarity, long-range memory, and heavy-tailed fluctuations, which limit the usefulness of traditional covariance-based analyses. To address these challenges, we construct scale…

Statistical Finance · Quantitative Finance 2025-12-09 Stanisław Drożdż , Paweł Jarosz , Jarosław Kwapień , Maria Skupień , Marcin Wątorek

We investigate the dynamics following a global parameter quench for two 1D models with variable-range power-law interactions: a long-range transverse Ising model, which has recently been realised in chains of trapped ions, and a long-range…

Multifractal detrended cross-correlation methodology is described and applied to Foreign exchange (Forex) market time series. Fluctuations of high frequency exchange rates of eight major world currencies over 2010-2018 period are used to…

Statistical Finance · Quantitative Finance 2019-12-17 Robert Gębarowski , Paweł Oświęcimka , Marcin Wątorek , Stanisław Drożdż

We investigate financial market correlations using random matrix theory and principal component analysis. We use random matrix theory to demonstrate that correlation matrices of asset price changes contain structure that is incompatible…

Statistical Finance · Quantitative Finance 2015-03-17 Daniel J. Fenn , Mason A. Porter , Stacy Williams , Mark McDonald , Neil F. Johnson , Nick S. Jones

In the face of the upcoming 30th anniversary of econophysics, we review our contributions and other related works on the modeling of the long-range memory phenomenon in physical, economic, and other social complex systems. Our group has…

Physics and Society · Physics 2021-08-31 Rytis Kazakevicius , Aleksejus Kononovicius , Bronislovas Kaulakys , Vygintas Gontis

The intermarket analysis, in particular the lead-lag relationship, plays an important role within financial markets. Therefore a mathematical approach to be able to find interrelations between the price development of two different…

Statistical Finance · Quantitative Finance 2015-04-24 Stanislaus Maier-Paape , Andreas Platen

The paper investigates the effect of the label green in bond markets from the lens of the trading activity. The idea is that jumps in the dynamics of returns have a specific memory nature that can be well represented through a self-exciting…

Trading and Market Microstructure · Quantitative Finance 2023-08-24 Lorenzo Mercuri , Andrea Perchiazzo , Edit Rroji

Inspired by the recent literature on aggregation theory, we aim at relating the long range correlation of the stocks return volatility to the heterogeneity of the investors' expectations about the level of the future volatility. Based on a…

Statistical Finance · Quantitative Finance 2008-12-02 Jerome Coulon , Yannick Malevergne

We examine the scaling regime for the detrended fluctuation analysis (DFA) - the most popular method used to detect the presence of long memory in data and the fractal structure of time series. First, the scaling range for DFA is studied…

Data Analysis, Statistics and Probability · Physics 2015-06-05 Dariusz Grech , Zygmunt Mazur