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Minimizing the effect of periodic and quasi-periodic trends in detrended fluctuation analysis

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  • Nagarajan, Radhakrishnan
  • Kavasseri, Rajesh G.

Abstract

Detrended fluctuation analysis (DFA) has been proposed as a robust technique to determine possible long-range correlations in power-law processes. However, recent studies have reported the susceptibility of DFA to periodic trends, which can result in spurious crossovers. In this brief report, we propose a technique based on singular value decomposition to minimize the effect of both periodic as well as quasi-periodic trends in DFA estimation. The effectiveness of the proposed technique is demonstrated on publicly available data sets.

Suggested Citation

  • Nagarajan, Radhakrishnan & Kavasseri, Rajesh G., 2005. "Minimizing the effect of periodic and quasi-periodic trends in detrended fluctuation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 26(3), pages 777-784.
    • Handle: RePEc:eee:chsofr:v:26:y:2005:i:3:p:777-784
    DOI: 10.1016/j.chaos.2005.01.036
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    1. Stanley, H.E. & Amaral, L.A.N. & Goldberger, A.L. & Havlin, S. & Ivanov, P.Ch. & Peng, C.-K., 1999. "Statistical physics and physiology: Monofractal and multifractal approaches," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 270(1), pages 309-324.
    2. Kavasseri, Rajesh G. & Nagarajan, Radhakrishnan, 2005. "A multifractal description of wind speed records," Chaos, Solitons & Fractals, Elsevier, vol. 24(1), pages 165-173.
    3. Parameswaran Gopikrishnan & Vasiliki Plerou & Xavier Gabaix & H. Eugene Stanley, 2000. "Statistical Properties of Share Volume Traded in Financial Markets," Papers cond-mat/0008113, arXiv.org.
    4. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
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    Cited by:

    1. Xu, Na & Shang, Pengjian & Kamae, Santi, 2009. "Minimizing the effect of exponential trends in detrended fluctuation analysis," Chaos, Solitons & Fractals, Elsevier, vol. 41(1), pages 311-316.
    2. Zhou, Yu & Leung, Yee & Ma, Jian-Min, 2013. "Empirical study of the scaling behavior of the amplitude–frequency distribution of the Hilbert–Huang transform and its application in sunspot time series analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 392(6), pages 1336-1346.

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