“…This bas been carried out classically through the box dimension (see, e.g., [19,Subsection 8.4]), mainly due to the easiness when being calculated or estimated in empirical applications, though the Hausdorff dimension, which is the oldest and also the most accurate (by definition) model for fractal dimension has been considered, too, at least from a theoretical point of view. Recently, novel alternatives, with some desirable analytical properties as it happens with the Hausdorff dimension model, and being as easy to calculate as the Email addresses: magdalena.nowak805@gmail.com (Magdalena Nowak), fmm124@gmail.com (M. Fernández-Martínez) 1 The first author was partially supported by National Science Centre grant DEC-2012/07/N/ST1/03551 2 The second author specially acknowledges the valuable support provided by Centro Universitario de la Defensa en la Academia General del Aire de San Javier (Murcia, Spain). box dimension, have been contributed.…”