Paper Info
Title
The Concavity of Rényi Entropy Power
Abstract
We associate to the pth Rényi entropy a definition of entropy power, which is the natural extension of Shannon's entropy power and exhibits a nice behavior along solutions to the p-nonlinear heat equation in Rn. We show that the Rényi entropy power of general probability densities solving such equations is always a concave function of time, whereas it has a linear behavior in correspondence to the Barenblatt source-type solutions. This result extends Costa's concavity inequality for Shannon's entropy power to Rényi entropies.
Year
DOI
Venue
2014
10.1109/TIT.2014.2309341
Information Theory, IEEE Transactions  
Keywords
DocType
Volume
entropy,probability,Barenblatt source-type solutions,Costa concavity inequality,Rényi entropy power,Shannon entropy power,concave function,p-nonlinear heat equation,probability densities,Entropy,R??nyi entropy,information measure,information theory,nonlinear heat equation
Journal
60
Issue
ISSN
Citations 
5
0018-9448
11
PageRank 
References 
Authors
0.75
6
2
Name
Order
Citations
PageRank
Giuseppe Savaré1110.75
Giuseppe Toscani213824.06