English

Gibbs-Shannon Entropy and Related Measures: Tsallis Entropy

Information Theory 2012-01-06 v1 math.IT

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.

Keywords

Cite

@article{arxiv.1201.1096,
  title  = {Gibbs-Shannon Entropy and Related Measures: Tsallis Entropy},
  author = {Garimella Rama Murthy},
  journal= {arXiv preprint arXiv:1201.1096},
  year   = {2012}
}