On Conditional Tsallis Entropy

• Type: Article in International Scientific Journal
• Date: 2021

Authors

teixeira, a (Author) FMUP; souto, a (Author) Other; antunes, l (Author) FCUP

Journal

Title: Entropy

Vol. 13

Final page: 1427

ISSN: 1099-4300

Publisher: MDPI

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 0 Citations

Other information

Authenticus ID: P-00V-V2K

DOI: 10.3390/e23111427

Abstract (EN): There is no generally accepted definition for conditional Tsallis entropy. The standard definition of (unconditional) Tsallis entropy depends on a parameter alpha that converges to the Shannon entropy as alpha approaches 1. In this paper, we describe three proposed definitions of conditional Tsallis entropy suggested in the literature-their properties are studied and their values, as a function of alpha, are compared. We also consider another natural proposal for conditional Tsallis entropy and compare it with the existing ones. Lastly, we present an online tool to compute the four conditional Tsallis entropies, given the probability distributions and the value of the parameter alpha.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 14