Comparing the performance of FA, DFA and DMA using different synthetic long-range correlated time series

Verfasser / Beitragende:
[Ying-Hui Shao, Gao-Feng Gu, Zhi-Qiang Jiang, Wei-Xing Zhou, Didier Sornette]
Ort, Verlag, Jahr:
2012
Enthalten in:
Scientific Reports, 2, p. 835
Format:
Artikel (online)
ID: 528785494
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024 7 0 |a 10.3929/ethz-b-000059162  |2 doi 
024 7 0 |a 10.1038/srep00835  |2 doi 
035 |a (ETHRESEARCH)oai:www.research-collecti.ethz.ch:20.500.11850/59162 
245 0 0 |a Comparing the performance of FA, DFA and DMA using different synthetic long-range correlated time series  |h [Elektronische Daten]  |c [Ying-Hui Shao, Gao-Feng Gu, Zhi-Qiang Jiang, Wei-Xing Zhou, Didier Sornette] 
246 0 |a Sci Rep 
506 |a Open access  |2 ethresearch 
520 3 |a 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. 
540 |a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported  |u http://creativecommons.org/licenses/by-nc-nd/3.0  |2 ethresearch 
690 7 |a Information theory and computation  |2 ethresearch 
690 7 |a Statistical physics, thermodynamics and nonlinear dynamics  |2 ethresearch 
690 7 |a Statistics  |2 ethresearch 
690 7 |a Software  |2 ethresearch 
700 1 |a Shao  |D Ying-Hui  |e joint author 
700 1 |a Gu  |D Gao-Feng  |e joint author 
700 1 |a Jiang  |D Zhi-Qiang  |e joint author 
700 1 |a Zhou  |D Wei-Xing  |e joint author 
700 1 |a Sornette  |D Didier  |e joint author 
773 0 |t Scientific Reports  |d London : Nature Publishing Group  |g 2, p. 835  |x 2045-2322 
856 4 0 |u http://hdl.handle.net/20.500.11850/59162  |q text/html  |z WWW-Backlink auf das Repository (Open access) 
908 |D 1  |a Journal Article  |2 ethresearch 
950 |B ETHRESEARCH  |P 856  |E 40  |u http://hdl.handle.net/20.500.11850/59162  |q text/html  |z WWW-Backlink auf das Repository (Open access) 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Shao  |D Ying-Hui  |e joint author 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Gu  |D Gao-Feng  |e joint author 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Jiang  |D Zhi-Qiang  |e joint author 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Zhou  |D Wei-Xing  |e joint author 
950 |B ETHRESEARCH  |P 700  |E 1-  |a Sornette  |D Didier  |e joint author 
950 |B ETHRESEARCH  |P 773  |E 0-  |t Scientific Reports  |d London : Nature Publishing Group  |g 2, p. 835  |x 2045-2322 
898 |a BK010053  |b XK010053  |c XK010000 
949 |B ETHRESEARCH  |F ETHRESEARCH  |b ETHRESEARCH  |j Journal Article  |c Open access