实轴上对数凹变量的反集中不等式
概率论
2025-05-12 v1 信息论
math.IT
摘要
我们在离散和连续两种情形下证明了实轴上对数凹随机变量的尖锐反集中结果。我们的方法是初等的,并使用优超技术来恢复和扩展一些近期及较早的结果。
引用
@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}
}
备注
For the special volume of the XIV Symposium of Probability and Stochastic Processes CIMAT, Mexico, November 20-24, 2023