Detrended fluctuation analysis as a regression framework: estimating dependence at different scales

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Ladislav Kristoufek

Abstract

We propose a framework combining detrended fluctuation analysis with standard regression methodology. The method is built on detrended variances and covariances and it is designed to estimate regression parameters at different scales and under potential nonstationarity and power-law correlations. The former feature allows for distinguishing between effects for a pair of variables from different temporal perspectives. The latter ones make the method a significant improvement over the standard least squares estimation. Theoretical claims are supported by Monte Carlo simulations. The method is then applied on selected examples from physics, finance, environmental science, and epidemiology. For most of the studied cases, the relationship between variables of interest varies strongly across scales.

References

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Citations

Jan 20, 2018·Physical Review. E·Hai-Chuan XuWei-Xing Zhou
Aug 17, 2020·Physical Review. E·Qingju Fan, Fang Wang
Jul 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Xi-Yuan QianH Eugene Stanley
Dec 15, 2015·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Jarosław KwapieńStanisław Drożdż

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