文摘
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, δ, departs in the non-Gaussian case from the scaling exponent HV evaluated by variance based methods. When δ=1/(3−2HV) Lévy statistics characterizes the time series. 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.