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Related papers: Fractal Analysis of Discharge Current Fluctuations

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Empirical time series of inter-event or waiting times are investigated using a modified Multifractal Detrended Fluctuation Analysis operating on fluctuations of mean detrended dynamics. The core of the extended multifractal analysis is the…

Statistical Finance · Quantitative Finance 2020-07-01 Jarosław Klamut , Ryszard Kutner , Tomasz Gubiec , Zbigniew R. Struzik

Detrended Fluctuation Analysis (DFA), suitable for the analysis of nonstationary time series, is used to investigate power law in some of the Bach's pitches series. Using DFA method, which also is a well-established method for the detection…

Computational Physics · Physics 2008-04-25 G. R. Jafari , P. Pedram , K. Ghafoori Tabrizi

The influence of fluctuating conductivity on the coefficients known from the mean-field electrodynamics is considered. If the conductivity fluctuations are assumed as uncorrelated with the turbulent velocity field then only the effective…

Plasma Physics · Physics 2020-07-15 G. Rüdiger , M. Küker , P. J. Käpylä

The refractive index fluctuations in the connective tissue layer (stroma) of human cervical tissues having different grades of precancers (dysplasia) was quantified using a wavelet-based multifractal detrended fluctuation analysis model.…

When common factors strongly influence two power-law cross-correlated time series recorded in complex natural or social systems, using classic detrended cross-correlation analysis (DCCA) without considering these common factors will bias…

Statistical Finance · Quantitative Finance 2015-06-29 Xi-Yuan Qian , Ya-Min Liu , Zhi-Qiang Jiang , Boris Podobnik , Wei-Xing Zhou , H. Eugene Stanley

The detrending moving average (DMA) algorithm is a widely used technique to quantify the long-term correlations of non-stationary time series and the long-range correlations of fractal surfaces, which contains a parameter $\theta$…

Statistical Finance · Quantitative Finance 2010-08-03 Gao-Feng Gu , Wei-Xing Zhou

In the last decades, an ever-growing number of studies are focusing on the extreme weather conditions related to the climate change. Some of them are based on multifractal approaches, such as the Multifractal Detrended Fluctuation Analysis…

Atmospheric and Oceanic Physics · Physics 2023-11-17 J. Gomez-Gomez , R. Carmona-Cabezas , A. B. Ariza-Villaverde , E. Gutierrez de Rave , F. J. Jimenez-Hornero

Multifractality in time series analysis characterizes the presence of multiple scaling exponents, indicating heterogeneous temporal structures and complex dynamical behaviors beyond simple monofractal models. In the context of digital…

Statistical Finance · Quantitative Finance 2025-10-16 Stanisław Drożdż , Robert Kluszczyński , Jarosław Kwapień , Marcin Wątorek

In this work we perform theoretical analysis about a coupled RC circuit with constant driven currents. Starting from stochastic differential equations, where voltages are subject to thermal noises, we derive time-correlation functions,…

Statistical Mechanics · Physics 2016-03-23 K. -H. Chiang , C. -W. Chou , C. -L. Lee , P. -Y. Lai , Y. -F. Chen

When common factors strongly influence two cross-correlated time series recorded in complex natural and social systems, the results will be biased if we use multifractal detrended cross-correlation analysis (MF-DXA) without considering…

Physics and Society · Physics 2021-04-14 Bao-Gen Li , Dian-Yi Ling , Zu-Guo Yu

We study the multifractal temporal scaling properties of river discharge and precipitation records. We compare the results for the multifractal detrended fluctuation analysis method with the results for the wavelet transform modulus maxima…

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

We have carried out a detailed study of scaling region using detrended fractal analysis test by applying different forcing likewise noise, sinusoidal, square on the floating potential fluctuations acquired under different pressures in a DC…

Data Analysis, Statistics and Probability · Physics 2017-11-22 Debajyoti Saha , Pankaj Kumar Shaw , Sabuj Ghosh , M. S. Janaki , A. N. Sekar Iyengar

Stock markets can become inefficient due to calendar anomalies known as day-of-the-week effect. Calendar anomalies are well-known in financial literature, but the phenomena remain to be explored in econophysics. In this paper we use…

Statistical Finance · Quantitative Finance 2022-05-04 Darko Stosic , Dusan Stosic , Irena Vodenska , H. Eugene Stanley , Tatijana Stosic

It is already known that both auditory and visual stimulus is able to convey emotions in human mind to different extent. The strength or intensity of the emotional arousal vary depending on the type of stimulus chosen. In this study, we try…

Multifractal Detrended Fluctuation Analysis stands out as one of the most reliable methods for unveiling multifractal properties, specially when real-world time series are under analysis. However, little is known about how several aspects,…

Data Analysis, Statistics and Probability · Physics 2022-07-20 Felipe Olivares , Massimiliano Zanin

We use the methodology of singular spectrum analysis (SSA), principal component analysis (PCA), and multi-fractal detrended fluctuation analysis (MFDFA), for investigating characteristics of vibration time series data from a friction brake.…

Chaotic Dynamics · Physics 2015-06-23 Nikolay K. Vitanov , Norbert P. Hoffmann , Boris Wernitz

Due to the vulnerability of the Caribbean islands to the climate change issue, it is important to investigate the behavior of rainfall. In addition, the soil of the French West Indies Islands has been contaminated by an insecticide…

Atmospheric and Oceanic Physics · Physics 2023-11-28 J. Gomez-Gomez , T. Plocoste , E. Alexis , F. J. Jimenez-Hornero , E. Gutierrez de Rave , S. P. Nuiro

We present a general framework of detrending methods of fluctuation analysis of which detrended fluctuation analysis (DFA) is one prominent example. Another more recently introduced method is detrending moving average (DMA). Both methods…

Statistical Mechanics · Physics 2019-04-03 Marc Höll , Ken Kiyono , Holger Kantz

Multifractal structure of global monthly mean temperature anomaly time series over the period of 1850-2012 are studied in terms of the multifractal detrended moving average (MFDMA) analysis. We try to address the possible source(s) and the…

Atmospheric and Oceanic Physics · Physics 2017-08-17 Provash Mali