AUTHOR=Marmelat Vivien , Torre Kjerstin , Delignieres Didier TITLE=Relative Roughness: An Index for Testing the Suitability of the Monofractal Model JOURNAL=Frontiers in Physiology VOLUME=3 YEAR=2012 URL=https://www.frontiersin.org/journals/physiology/articles/10.3389/fphys.2012.00208 DOI=10.3389/fphys.2012.00208 ISSN=1664-042X ABSTRACT=
Fractal analyses have become very popular and have been applied on a wide variety of empirical time series. The application of these methods supposes that the monofractal framework can offer a suitable model for the analyzed series. However, this model takes into account a quite specific kind of fluctuations, and we consider that fractal analyses have been often applied to series that were completely outside of its relevance. The problem is that fractal methods can be applied to all types of series, and they always give a result, that one can then erroneously interpret in the context of the monofractal framework. We propose in this paper an easily computable index, the