Speaker: 蔡志军（南方科技大学）
Title: Refined Berry–Esseen bounds under local dependence
Inviter: 随机分析研究中心
Language: Chinese
Time & Venue: 2025 年12月19日16:00–17:00 南楼613
Abstract: A family of random variables is said to be locally dependent if the random variables within a subset are independent of those outside its neighborhood. In this talk, we consider the central limit theorem (CLT) for the sum of locally dependent random variables and, in particular, establish refined Berry–Esseen-type bounds under local dependence. Our proofs are based on Stein's method together with a concentration inequality approach. We develop a new class of concentration inequalities that extend classical results and achieve optimal convergence rates under more general dependence structures. As applications, we use our main results to derive sharper Berry–Esseen bounds for graph dependency models, distributed U-statistics, constrained U-statistics, and other related models.
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