Concentration inequalities for ultra log-concave distributions

IF 0.7 3区数学 Q2 MATHEMATICS Studia Mathematica Pub Date : 2021-04-11 DOI:10.4064/sm210605-2-10

Heshan Aravinda, Arnaud Marsiglietti, J. Melbourne

引用次数: 7

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).

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

超对数凹分布的浓度不等式

.我们建立了一类超对数凹分布中的集中不等式。特别地，我们证明了超对数凹分布满足泊松浓度界。作为一个应用，我们推导了凸体本征体积的集中界，推广和改进了Lotz、McCoy、Nourdin、Peccati和Tropp（2019）的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Studia Mathematica 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

5 months

期刊介绍： The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.

期刊最新文献

A biparameter decomposition of Davis–Garsia type Embeddings between Lorentz sequence spaces are strictly but not finitely strictly singular Symmetric stable processes on amenable groups The $L^p$-to-$L^q$ compactness of commutators with $p \gt q$ $L^p$-boundedness of pseudo-differential operators on homogeneous trees