Reversal of Rényi Entropy Inequalities Under Log-Concavity

James Melbourne, Tomasz Tkocz

Type: Article

Publication Date: 2020-09-14

Citations: 11

DOI: https://doi.org/10.1109/tit.2020.3024025

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IEEE Transactions on Information Theory - View

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+	Convexity/concavity of renyi entropy and &#x03B1;-mutual information	2015	Siu‐Wai Ho Sergio Verdú
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+ PDF Chat	On an inequality of Karlin and Rinott concerning weighted sums of i.i.d. random variables	2008	Yaming Yu
+	The difference body of a convex body	1957	C. A. Rogers G. C. Shephard
+ PDF Chat	Log-concavity and the maximum entropy property of the Poisson distribution	2006	Oliver Johnson
+	Complements of Lyapunov's inequality	1973	Christer Borell
+	Log‐Concave and Unimodal Sequences in Algebra, Combinatorics, and Geometry<sup>a</sup>	1989	Richard P. Stanley
+ PDF Chat	On the maximum entropy of the sum of two dependent random variables	1994	Thomas M. Cover Zhen Zhang
+	SOME INTEGRAL INEQUALITIES	1969	J. H. E. Cohn
+ PDF Chat	The Entropy Per Coordinate of a Random Vector is Highly Constrained Under Convexity Conditions	2011	Sergey G. Bobkov Mokshay Madiman