Title
Entropic Central Limit Theorem For Renyi Entropy
Abstract
We establish a central limit theorem for Renyi entropies when the Renyi parameters belong to (0, 1) for a large class of random vectors. This complements a celebrated result of Barron (1986). As an application, we show that a general Renyi entropy power inequality fails when the Renyi parameter is in (0, 1).
Year
DOI
Venue
2019
10.1109/ISIT.2019.8849533
2019 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT)
Keywords
Field
DocType
Renyi entropy, entropy power inequality, entropic central limit theorem
Entropy power inequality,Discrete mathematics,Central limit theorem,Computer science,Rényi entropy
Conference
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Jiange Li100.68
Arnaud Marsiglietti2102.93
James C Melbourne323.75