Title
A Renyi Entropy Power Inequality For Log-Concave Vectors And Parameters In [0,1]
Abstract
Using a sharp version of the reverse Young inequality, and a Renyi entropy comparison result due to Fradelizi, Madiman, and Wang, the authors derive a Renyi entropy power inequality for log-concave random vectors when Renyi parameters belong to [0, 1]. A discussion of symmetric decreasing rearrangements of random variables strengthens the inequality and guides the exploration as to its sharpness.
Year
Venue
Keywords
2018
2018 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
Entropy power inequality, Renyi entropy, Log-concave
Field
DocType
Citations 
Entropy power inequality,Discrete mathematics,Young's inequality,Combinatorics,Random variable,Computer science,Rényi entropy,Inequality
Conference
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Arnaud Marsiglietti1102.93
James C Melbourne223.75