Variants of the Entropy Power Inequality

Sergey Bobkov, Arnaud Marsiglietti

An extension of the entropy power inequality to the form $N_r^{\alpha }(X+Y)\ge N_r^{\alpha }(X)+N_r^{\alpha }(Y)$ with arbitrary independent summands $X$ and $Y$ in ${\mathbb{R}}^n$ is obtained for the…