Abstract
We derive an analytical expression for the fluctuation function of the detrended fluctuation analysis and state the relationship with the autocorrelation function for stationary processes. With this result we can investigate the scaling of the fluctuation function for short-range and long-range correlated processes. Furthermore we show that short-range correlated processes always exhibit a crossover between regions of different scaling. We also extend our results to processes with additive trends and discuss the effect of measurement noise.
| Original language | English |
|---|---|
| Article number | 327 |
| Pages (from-to) | 1-7 |
| Number of pages | 7 |
| Journal | European Physical Journal B |
| Volume | 88 |
| Issue number | 12 |
| DOIs | |
| State | Published - 1 Dec 2015 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2015, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
Keywords
- Statistical and Nonlinear Physics