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Detrended fluctuation analysis is used to investigate correlations between the monthly average of the maximum daily temperatures for different locations in the continental US and the different climates these locations have. When we plot the…

Statistical Mechanics · Physics 2007-05-23 M. L. Kurnaz

We propose a framework combining detrended fluctuation analysis with standard regression methodology. The method is built on detrended variances and covariances and it is designed to estimate regression parameters at different scales and…

Statistical Finance · Quantitative Finance 2018-10-30 Ladislav Kristoufek

Climate change is a reality of today. Paleoclimatic proxies and climate predictions based on coupled atmosphere-ocean general circulation models provide us with temperature data. Using Detrended Fluctuation Analysis, we are investigating…

Atmospheric and Oceanic Physics · Physics 2008-03-05 Bora Akgun , Zeynep Isvan , Levent Tuter , Mehmet Levent Kurnaz

We use several variants of the detrended fluctuation analysis to study the appearance of long-term persistence in temperature records, obtained at 95 stations all over the globe. Our results basically confirm earlier studies. We find that…

Atmospheric and Oceanic Physics · Physics 2009-11-07 Jan F. Eichner , Eva Koscielny-Bunde , Armin Bunde , Shlomo Havlin , Hans J. Schellnhuber

Detrended fluctuation analysis (DFA), suitable for the analysis of nonstationary time series, has confirmed the existence of persistent long-range correlations in healthy heart rate variability data. In this paper, we present the…

Medical Physics · Physics 2009-11-10 J. C. Echeverria , M. S. Woolfson , J. A. Crowe , B. R. Hayes-Gill , G. D. H. Croaker , H. Vyas

Detrended Fluctuation Analysis (DFA) is widely used to assess the presence of long-range temporal correlations in time series. Signals with long-range temporal correlations are typically defined as having a power law decay in their…

Quantitative Methods · Quantitative Biology 2013-06-24 Maria Botcharova , Simon F Farmer , Luc Berthouze

We review recent results on the appearance of long-term persistence in climatic records and their relevance for the evaluation of global climate models and rare events.The persistence can be characterized, for example, by the correlation…

Atmospheric and Oceanic Physics · Physics 2009-11-07 Armin Bunde , Jan Eichner , Rathinaswamy Govindan , Shlomo Havlin , Eva Koscielny-Bunde , Diego Rybski , Dmitry Vjushin

We extend our previous study of scaling range properties done for detrended fluctuation analysis (DFA) \cite{former_paper} to other techniques of fluctuation analysis (FA). The new technique called Modified Detrended Moving Average Analysis…

Data Analysis, Statistics and Probability · Physics 2012-12-21 Grech Dariusz , Mazur Zygmunt

We examine the Detrended Fluctuation Analysis (DFA), which is a well-established method for the detection of long-range correlations in time series. We show that deviations from scaling that appear at small time scales become stronger in…

Statistical Mechanics · Physics 2009-11-07 Jan W. Kantelhardt , Eva Koscielny-Bunde , Henio H. A. Rego , Shlomo Havlin , Armin Bunde

Detrended fluctuation analysis (DFA) is a scaling analysis method used to estimate long-range power-law correlation exponents in noisy signals. Many noisy signals in real systems display trends, so that the scaling results obtained from the…

Data Analysis, Statistics and Probability · Physics 2009-11-07 Kun Hu , Plamen Ch. Ivanov , Zhi Chen , Pedro Carpena , H. Eugene Stanley

Improvement in time resolution sometimes introduces short-range random noises into temporal data sequences. These noises affect the results of power-spectrum analyses and the Detrended Fluctuation Analysis (DFA). The DFA is one of useful…

Data Analysis, Statistics and Probability · Physics 2009-02-05 Shin-ichi Tadaki

Detrended fluctuation analysis (DFA) and detrended moving average (DMA) are two scaling analysis methods designed to quantify correlations in noisy non-stationary signals. We systematically study the performance of different variants of the…

Other Condensed Matter · Physics 2009-11-10 L. Xu , P. Ch. Ivanov , K. Hu , Z. Chen , A. Carbone , H. E. Stanley

Power-law fluctuation in observed Internet packet flow are discussed. The data is obtained by a multi router traffic grapher (MRTG) system for 9 months. The internet packet flow is analyzed using the detrended fluctuation analysis. By…

Physics and Society · Physics 2007-06-12 Shin-ichi Tadaki

Daily temperature anomaly records are analyzed (61 for Australia, 18 for Hungary) by means of detrended fluctuation analysis. Positive long range asymptotic correlations extending up to 5-10 years are detected for each case. Contrary to…

Atmospheric and Oceanic Physics · Physics 2009-11-10 Andrea Király , Imre M. Jánosi

Long-range temporal and spatial correlations have been reported in a remarkable number of studies. In particular power-law scaling in neural activity raised considerable interest. We here provide a straightforward algorithm not only to…

Quantitative Methods · Quantitative Biology 2015-12-09 Robert Ton , Andreas Daffertshofer

The detrended fluctuation analysis (DFA) is one of the most widely used tools for the detection of long-range correlations in time series. Although DFA has found many interesting applications and has been shown as one of the best performing…

Statistical Mechanics · Physics 2020-03-18 G. Sikora , M. Hoell , A. Wylomanska , J. Gajda , A. V. Chechkin , H. Kantz

Based on the well-known Detrended Fluctuation Analysis (DFA) for time series, in this work we describe a DFA for continuous real variable functions. Under certain conditions, DFA accurately predicts the long-term auto-correlation of the…

Chaotic Dynamics · Physics 2023-04-11 Luis Gil-Maqueda , Benjamín A. Itzá-Ortiz

Detrended fluctuation analysis (DFA) is a simple but very efficient method for investigating the power-law long-term correlations of non-stationary time series, in which a detrending step is necessary to obtain the local fluctuations at…

Statistical Mechanics · Physics 2011-09-09 Xi-Yuan Qian , Wei-Xing Zhou , Gao-Feng Gu

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

Magnetic field variations are detected before rupture in the form of `spikes' of alternating sign. The distinction of these `spikes' from random noise is of major practical importance, since it is easier to conduct magnetic field…

Statistical Mechanics · Physics 2015-05-13 P. A. Varotsos , N. V. Sarlis , E. S. Skordas
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