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. 2020 Sep 18;22(9):1043. doi: 10.3390/e22091043

Figure 3.

Figure 3

(Left) Cumulative distribution function P(X>|rΔt|) calculated in 30-day windows. Two extreme cases of power-law tail are shown with the scaling exponent γ1.8 (mid February–mid March 2020) and γ3.2 (July 2019) representing stable and unstable distributions, respectively. (Right) Singularity spectra f(α) calculated in the same windows as above. An example of asymmetric, bifractal-like spectrum (mid February - mid March 2020) and an example of symmetric spectrum (July 2019) are shown together with characteristic values of the Hölder exponent: αmin, α0, and αmax (see Equation (9) in Section 2.2).