Anti-concentration inequalities for log-concave variables on the real line
Probability
2025-05-12 v1 Information Theory
math.IT
Abstract
We prove sharp anti-concentration results for log-concave random variables on the real line in both the discrete and continuous setting. Our approach is elementary and uses majorization techniques to recover and extend some recent and not so recent results.
Cite
@article{arxiv.2505.05793,
title = {Anti-concentration inequalities for log-concave variables on the real line},
author = {Tulio Gaxiola and James Melbourne and Vincent Pigno and Emma Pollard},
journal= {arXiv preprint arXiv:2505.05793},
year = {2025}
}
Comments
For the special volume of the XIV Symposium of Probability and Stochastic Processes CIMAT, Mexico, November 20-24, 2023