Comparing the performance of FA, DFA and DMA using different synthetic long-range correlated time series
arXiv:1208.4158 · doi:10.1038/srep00835
Abstract
Notwithstanding the significant efforts to develop estimators of long-range correlations (LRC) and to compare their performance, no clear consensus exists on what is the best method and under which conditions. In addition, synthetic tests suggest that the performance of LRC estimators varies when using different generators of LRC time series. Here, we compare the performances of four estimators [Fluctuation Analysis (FA), Detrended Fluctuation Analysis (DFA), Backward Detrending Moving Average (BDMA), and centred Detrending Moving Average (CDMA)]. We use three different generators [Fractional Gaussian Noises, and two ways of generating Fractional Brownian Motions]. We find that CDMA has the best performance and DFA is only slightly worse in some situations, while FA performs the worst. In addition, CDMA and DFA are less sensitive to the scaling range than FA. Hence, CDMA and DFA remain "The Methods of Choice" in determining the Hurst index of time series.
arXiv comment6 pages (including 3 figures) + 3 supplementary figures
References in corpus (23)
- Statistical mechanics of complex networks
- Multifractal detrended fluctuation analysis of nonstationary time series
- Detecting Long-range Correlations with Detrended Fluctuation Analysis
- Effect of Trends on Detrended Fluctuation Analysis
- Effect of nonstationarities on detrended fluctuation analysis
- Detrending moving average algorithm for multifractals
- The Limited Scaling Range of Empirical Fractals
- Method for Generating Long-Range Correlations for Large Systems
- Multifractal detrending moving average cross-correlation analysis
- Comparison of detrending methods for fluctuation analysis
- Quantifying signals with power-law correlations: A comparative study of detrended fluctuation analysis and detrended moving average techniques
- Effect of nonlinear filters on detrended fluctuation analysis
- Detrended fluctuation analysis for fractals and multifractals in higher dimensions
- Scaling Range and Cutoffs in Empirical Fractals
- Detrending Moving Average variance: a derivation of the scaling law
- Degree distribution of the visibility graphs mapped from fractional Brownian motions and multifractal random walks
- Arbitrary-order Hilbert spectral analysis for time series possessing scaling statistics: a comparison study with detrended fluctuation analysis and wavelet leaders
- Modified detrended fluctuation analysis based on empirical mode decomposition
- Culturomics meets random fractal theory: Insights into long-range correlations of social and natural phenomena over the past two centuries
- Algorithm to estimate the Hurst exponent of high-dimensional fractals
- Statistical Significance of Periodicity and Log-Periodicity with Heavy-Tailed Correlated Noise
- Minimizing the effect of trends on detrended fluctuation analysis of long-range correlated noise
- Minimizing the effect of sinusoidal trends in detrended fluctuation analysis
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