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相关论文: Detrended fluctuation analysis of power-law-correl…

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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…

数据分析、统计与概率 · 物理学 2009-11-07 Kun Hu , Plamen Ch. Ivanov , Zhi Chen , Pedro Carpena , H. Eugene Stanley

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…

Detrended fluctuation analysis (DFA) is a scaling analysis method used to quantify long-range power-law correlations in signals. Many physical and biological signals are ``noisy'', heterogeneous and exhibit different types of…

数据分析、统计与概率 · 物理学 2009-11-07 Zhi Chen , Plamen Ch. Ivanov , Kun Hu , H. Eugene Stanley

Detrended fluctuation analysis (DFA) has been proposed as a robust technique to determine possible long-range correlations in power-law processes [1]. However, recent studies have reported the susceptibility of DFA to trends [2] which give…

统计力学 · 物理学 2007-05-23 Radhakrishnan Nagarajan , Rajesh G. Kavasseri

Detrended fluctuation analysis (DFA) has been used widely to determine possible long-range correlations in data obtained from diverse settings. In a recent study [1], uncorrelated random spikes superimposed on the long-range correlated…

统计力学 · 物理学 2007-05-23 Radhakrishnan Nagarajan

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…

混沌动力学 · 物理学 2023-04-11 Luis Gil-Maqueda , Benjamín A. Itzá-Ortiz

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…

医学物理 · 物理学 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) 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…

其他凝聚态物理 · 物理学 2009-11-10 L. Xu , P. Ch. Ivanov , K. Hu , Z. Chen , A. Carbone , H. E. Stanley

Autoregressive processes (AR) have typical short-range memory. Detrended Fluctuation Analysis (DFA) was basically designed to reveal long range correlation in non stationary processes. However DFA can also be regarded as a suitable method…

生物物理 · 物理学 2007-07-11 V. V. Morariu , L. Buimaga-Iarinca , C. Vamos , S. Soltuz

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…

数据分析、统计与概率 · 物理学 2015-06-05 Dariusz Grech , Zygmunt Mazur

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…

计算物理 · 物理学 2008-04-25 G. R. Jafari , P. Pedram , K. Ghafoori Tabrizi

Detrend fluctuation analysis (DFA) has become a choice method for effective analysis of a broad variety of nonstationary signals. We show in the present article that, provided the nonstationary fluctuations occur at a large enough time…

We examine several recently suggested methods for the detection of long-range correlations in data series based on similar ideas as the well-established Detrended Fluctuation Analysis (DFA). In particular, we present a detailed comparison…

统计金融 · 定量金融 2009-11-13 Amir Bashan , Ronny Bartsch , Jan W. Kantelhardt , Shlomo Havlin

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…

统计力学 · 物理学 2020-03-18 G. Sikora , M. Hoell , A. Wylomanska , J. Gajda , A. V. Chechkin , H. Kantz

Detrended fluctuation analysis (DFA) [1] of the volatility series has been found to be useful in dentifying possible nonlinear/multifractal dynamics in the empirical sample [2-4]. Long-range volatile correlation can be an outcome of static…

数据分析、统计与概率 · 物理学 2009-11-11 Radhakrishnan Nagarajan

The detrended fluctuation analysis (DFA) is extensively useful in stochastic processes to unveil the long-term correlation. Here, we apply the DFA to point processes that mimick earthquake data. The point processes are synthesized by a…

数据分析、统计与概率 · 物理学 2021-07-28 Takumi Kataoka , Tomoshige Miyaguchi , Takuma Akimoto

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…

统计力学 · 物理学 2015-05-13 P. A. Varotsos , N. V. Sarlis , E. S. Skordas

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…

定量方法 · 定量生物学 2015-12-09 Robert Ton , Andreas Daffertshofer

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…

定量方法 · 定量生物学 2013-06-24 Maria Botcharova , Simon F Farmer , Luc Berthouze

We study the properties of memory of a financial time series adopting two different methods of analysis, the detrended fluctuation analysis (DFA) and the analysis of the power spectrum (PSA). The methods are applied on three time series:…

统计力学 · 物理学 2008-12-02 Simone Bianco
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