L\'evy statistics in coding and non-coding nucleotide sequences

Abstract

We propose a new method of statistical analysis of nucleotide sequences yielding the true scaling without requiring any form of de-trending. With the help of artificial sequences that are proved to be statistically equivalent to the real DNA sequences we find that power-law correlations are present in both coding and non-coding sequences, in accordance with the recent work of other authors. We also afford a compelling evidence that these long-range correlations generate L\'evy statistics in both types of sequences.