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Minimizing the effect of periodic and quasi-periodic trends in detrended fluctuation analysis. (English) Zbl 1093.62506
Summary: 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.

62-99Statistics (MSC2000)
Full Text: DOI
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