期刊
PHYSICAL REVIEW E
卷 91, 期 2, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevE.91.022802
关键词
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资金
- Czech Science Foundation [14-11402P, P402/11/0948]
- Research Councils UK [EP/K039830/1]
- EPSRC [EP/K039830/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K039830/1] Funding Source: researchfish
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.
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