Gibbs-Shannon Entropy and Related Measures: Tsallis Entropy

EasyChair Preprint no. 866

Abstract

In this research paper, it is proved that an approximation to Gibbs-Shannon entropy
measure naturally leads to Tsallis entropy for the real parameter q =2 . Several interesting
measures based on the input as well as output of a discrete memoryless channel are provided
and some of the properties of those measures are discussed. It is expected that these results will
be of utility in Information Theoretic research.

Keyphrases: Gibbs entropy, information theory, Shannon entropy, statistical measures, Tsallis entropy

@Booklet{EasyChair:866,
  author = {Rama Murthy Garimella},
  title = {Gibbs-Shannon  Entropy and  Related  Measures: Tsallis  Entropy},
  howpublished = {EasyChair Preprint no. 866},

  year = {EasyChair, 2019}}