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Detecting long-range correlations with detrended fluctuation analysis

Open access
Kantelhardt, Jan W, Koscielny-Bunde, Eva, Rego, Henio H.A, Havlin, Shlomo, Bunde, Armin·2001·Physica A: Statistical Mechanics and its Applications

Abstract

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 which appear at small time scales become stronger in higher orders of DFA, and suggest a modified DFA method to remove them. The improvement is necessary especially for short records that are affected by non-stationarities. Furthermore, we describe how crossovers in the correlation behavior can be detected reliably and determined quantitatively and show how several types of trends in the data affect the different orders of DFA.

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Metadata

Authors
Kantelhardt, J. W., Koscielny-Bunde, E., Rego, H. H. A., Havlin, S., & Bunde, A.
Venue
Physica A: Statistical Mechanics and its Applications
Publisher
Elsevier BV
Published
2001-06
Volume
295
Issue
3-4
Pages
441-454
ISSN
0378-4371 (ISSN-L)
OpenAlex
W2103484453
Cited by
1,397
References
1
FWCI
68.01
Type
journal article
Language
en
Open access
green

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CoChat. (2026). Citation check: Detecting long-range correlations with detrended fluctuation analysis. https://app.cochat.ai/papers/10.1016/s0378-4371(01)00144-3
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Kantelhardt, J. W., Koscielny-Bunde, E., Rego, H. H. A., Havlin, S., & Bunde, A. (2001). Detecting long-range correlations with detrended fluctuation analysis. Physica A: Statistical Mechanics and its Applications. https://doi.org/10.1016/s0378-4371(01)00144-3

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