Entropy and Information jump for log-concave vectors
We extend the result of Ball and Nguyen on the jump of entropy under convolution for log-concave random vectors. We show that the result holds for any pair of vectors (not necessarily identically distributed) and that a similar inequality holds for the Fisher information, thus providing a quantitati...
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Main Author: | Bizeul, Pierre |
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Format: | Article |
Language: | English |
Published: |
Académie des sciences
2023-02-01
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Series: | Comptes Rendus. Mathématique |
Online Access: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.390/ |
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