Next Article in Journal
Maximum Entropy Fundamentals
Previous Article in Journal
The Role of Hellinger Processes in Mathematical Finance
Entropy 2001, 3(3), 162-190; doi:10.3390/e3030162
Article

Basic Concepts, Identities and Inequalities - the Toolkit of Information Theory

Department of Mathematics, University of Copenhagen, Denmark
Received: 12 September 2001 / Accepted: 18 September 2001 / Published: 30 September 2001
Download PDF [339 KB, uploaded 24 February 2015]

Abstract

Basic concepts and results of that part of Information Theory which is often referred to as "Shannon Theory" are discussed with focus mainly on the discrete case. The paper is expository with some new proofs and extensions of results and concepts.
Keywords: entropy; divergence; mutual information; concavity; convexity; data reduction entropy; divergence; mutual information; concavity; convexity; data reduction
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Share & Cite This Article

Export to BibTeX |
EndNote


MDPI and ACS Style

Topsøe, F. Basic Concepts, Identities and Inequalities - the Toolkit of Information Theory. Entropy 2001, 3, 162-190.

View more citation formats

Article Metrics

Comments

Citing Articles

[Return to top]
Entropy EISSN 1099-4300 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert