Concentration functions and entropy bounds for discrete log-concave distributions
Probability
2021-04-27 v2
Abstract
Two-sided bounds are explored for concentration functions and R\'enyi entropies in the class of discrete log-concave probability distributions. They are used to derive certain variants of the entropy power inequalities.
Cite
@article{arxiv.2007.11030,
title = {Concentration functions and entropy bounds for discrete log-concave distributions},
author = {Sergey G. Bobkov and Arnaud Marsiglietti and James Melbourne},
journal= {arXiv preprint arXiv:2007.11030},
year = {2021}
}
Comments
21 pages