Submitted:
07 July 2018
Posted:
09 July 2018
Read the latest preprint version here
Abstract
Following a recent proof of Shannon's entropy power inequality (EPI), a comprehensive framework for deriving various EPIs for the Rényi entropy is presented, that uses transport arguments from normal densities and a change of variable by rotation.
Keywords:
Rényi entropy
; entropy power inequalities
; transportation arguments
; normal distributions
; escort distributions
; log-concave distributions
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