Paper Info
Title
Further Investigations Of The Maximum Entropy Of The Sum Of Two Dependent Random Variables
Abstract
Cover and Zhang proved a certain reversal of the Entropy Power Inequality for the sum of (possibly dependent) random variables possessing the same log-concave density, and what is more that log-concave densities were the only densities that satisfied such an inequality. In this work the authors consider the analogous reversal of recent Renyi Entropy Power Inequalities for random vectors and again show that not only do they hold for s-concave densities, but that s-concave densities are characterized by satisfying said inequalities.
Year
Venue
Keywords
2018
2018 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
Convex measures, Renyi entropy, reverse entropy power inequality
Field
DocType
Citations 
Dependent random variables,Entropy power inequality,Discrete mathematics,Random variable,Computer science,Rényi entropy,Principle of maximum entropy,Zhàng
Conference
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Jiange Li172.20
James C Melbourne223.75