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Variants of the Entropy Power Inequality

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 نشر من قبل Arnaud Marsiglietti
 تاريخ النشر 2016
  مجال البحث الهندسة المعلوماتية
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An extension of the entropy power inequality to the form $N_r^alpha(X+Y) geq N_r^alpha(X) + N_r^alpha(Y)$ with arbitrary independent summands $X$ and $Y$ in $mathbb{R}^n$ is obtained for the Renyi entropy and powers $alpha geq (r+1)/2$.

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