Estudo via estatística de Kaniadakis da distribuição dos tamanhos dos cromossomos humanos

Abstract

In this dissertation, we investigated the non-coding DNA of the 24 human chromosomes, through the generalized statistics.This study, carried out with the recent generalizations of the Standard Theory of Statistical Mechanics, has been more important and analyzed as the statistical properties of the genetic sequences, in order to obtain information about the size distributions. In works already carried out on non-coding human DNA the use of q-exponential distributions of Tsallis generalized formalism through the maximization of non-extensive entropy is reported to study the size distribution of these sequences. In this dissertation, we broaden these studies through the use of κ-statistics originating from Kaniadakis generalized formalism. Namely, a brief comparison between the two analyzes is interesting. We present the values of the deformation parameters κ, in Kaniadakis formalism, and the entropic index q in the Tsallis formalism, which describe the size distributions for all the chromosomes of the non-coding human DNA.