Abstract
An extension of the entropy power inequality to the form Nrα (X+Y) ≥ Nrα (X) + Nrα (Y) with arbitrary independent summands X and Y in Rn is obtained for the Rényi entropy and powers α ≥(r+1)/2.
Original language | English (US) |
---|---|
Article number | 8076873 |
Pages (from-to) | 7747-7752 |
Number of pages | 6 |
Journal | IEEE Transactions on Information Theory |
Volume | 63 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2017 |
Bibliographical note
Publisher Copyright:© 1963-2012 IEEE.
Keywords
- Entropy power inequality
- Rényi entropy