Entropy and Information jump for log-concave vectors
Functional Analysis
2021-11-08 v1
Abstract
We extend the result of Ball and Nguyen on the jump of entropy under convolution for logconcave 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 quantitative Blachmann-Stam inequality
Keywords
Cite
@article{arxiv.2111.03130,
title = {Entropy and Information jump for log-concave vectors},
author = {Pierre Bizeul},
journal= {arXiv preprint arXiv:2111.03130},
year = {2021}
}