“…There have already been proposed several methods for the multi-fractal analysis: extended multi-fractal detrended fluctuation analysis (MF-DFA) (Kantelhardt et al, 2002), wavelet transform modulus maxima (WTMM) (Muzy et al, 1993;Mallat and Hwang, 1992), etc. In order to confirm the reliability of the analysis results, we have utilized the above-mentioned two methods and have confirmed that these two methods have yielded consistent results (this will be presented elsewhere in Yonaiguchi et al, 2007). So, in this paper we present only the result by the MF-DFA (not standard, but extended).…”