Concentration Inequalities for Ultra Log-Concave Distributions
Probability
2021-10-04 v3
Abstract
We establish concentration inequalities in the class of ultra log-concave distributions. In particular, we show that ultra log-concave distributions satisfy Poisson concentration bounds. As an application, we derive concentration bounds for the intrinsic volumes of a convex body, which generalizes and improves a result of Lotz, McCoy, Nourdin, Peccati, and Tropp (2019).
Keywords
Cite
@article{arxiv.2104.05054,
title = {Concentration Inequalities for Ultra Log-Concave Distributions},
author = {Heshan Aravinda and Arnaud Marsiglietti and James Melbourne},
journal= {arXiv preprint arXiv:2104.05054},
year = {2021}
}
Comments
10 pages