Title :
Entropy Power Inequality for the Rényi Entropy
Author :
Bobkov, Sergey G. ; Chistyakov, Gennadiy P.
Author_Institution :
Sch. of Math., Univ. of Minnesota, Minneapolis, MN, USA
Abstract :
The classical entropy power inequality is extended to the Rényi entropy. We also discuss the question of the existence of the entropy for sums of independent random variables.
Keywords :
entropy; Rényi entropy; entropy power inequality; independent random variables; Atmospheric measurements; Educational institutions; Entropy; Particle measurements; Random variables; Tin; Vectors; Renyi entropy; entropy power inequality;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2014.2383379