A two-parameter entropy and its fundamental properties
Mathematical Physics
2024-05-02 v3 Information Theory
math.IT
math.MP
Abstract
This article proposes a new two-parameter generalized entropy, which can be reduced to the Tsallis and the Shannon entropy for specific values of its parameters. We develop a number of information-theoretic properties of this generalized entropy and divergence, for instance, the sub-additive property, strong sub-additive property, joint convexity, and information monotonicity. This article presents an exposit investigation on the information-theoretic and information-geometric characteristics of the new generalized entropy and compare them with the properties of the Tsallis and the Shannon entropy.
Cite
@article{arxiv.1908.01696,
title = {A two-parameter entropy and its fundamental properties},
author = {Supriyo Dutta and Shigeru Furuichi and Partha Guha},
journal= {arXiv preprint arXiv:1908.01696},
year = {2024}
}
Comments
This is a pre-print of the published article