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Published June 2018 | public
Book Section - Chapter

A Rényi Entropy Power Inequality for Log-Concave Vectors and Parameters in [0, 1]

Abstract

Using a sharp version of the reverse Young inequality, and a Renyi entropy comparison result due to Fradelizi, Madiman, and Wang, the authors derive a Renyi entropy power inequality for log-concave random vectors when Renyi parameters belong to [0, 1]. A discussion of symmetric decreasing rearrangements of random variables strengthens the inequality and guides the exploration as to its sharpness.

Additional Information

© 2018 IEEE. Supported by the Walter S. Baer and Jeri Weiss CMI Postdoctoral Fellowship. Supported by NSF grants 1248100 and CNS 1544721.

Additional details

Created:
August 19, 2023
Modified:
October 19, 2023