Variants of the Entropy Power Inequality

An extension of the entropy power inequality to the form N r α (X + Y) ≥ N r α (X) + N r α (Y) with arbitrary independent summands X and Y in R n is obtained for the Rényi entropy and powers α ≥ (r + 1)/2.

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Bibliographic Details
Published in:IEEE transactions on information theory 2017-12, Vol.63 (12), p.7747-7752
Main Authors: Bobkov, Sergey G., Marsiglietti, Arnaud
Format: Article
Language:English
Subjects:
Calculus
Density measurement
Electronic mail
Entropy
Entropy power inequality
Heating systems
Power measurement
Rényi entropy
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Description
Summary:An extension of the entropy power inequality to the form N r α (X + Y) ≥ N r α (X) + N r α (Y) with arbitrary independent summands X and Y in R n is obtained for the Rényi entropy and powers α ≥ (r + 1)/2.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2017.2764487