Lévy statistics in coding and non-coding nucleotide sequences

The diffusion entropy analysis measures the scaling of the probability density function (pdf) of the diffusion process generated by time series imagined as a physical source of fluctuations. The pdf scaling exponent d departs in the non-Gaussian case from the scaling exponent Hv evaluated by variance based methods. With the help of artificial sequences that are proved to be statistically equivalent to the real DNA sequences we find that long-range correlations generating Lévy statistics are present in both coding and non-coding DNA sequences.