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Berry--Esseen bounds for generalized $U$ statistics by Zhang, Zhuo-Song is a scholarly article available to read on EtoBox.

What is Berry--Esseen bounds for generalized $U$ statistics about?

In this paper, we establish optimal Berry--Esseen bounds for the generalized $U$-statistics. The proof is based on a new Berry--Esseen theorem for exchangeable pair approach by Stein's method under a general linearity condition setting. As applications, an optimal convergence rate of the normal approximation for subgraph counts in Erd\"os--R\'enyi graphs and graphon-random graph is obtained.

Author

Zhang, Zhuo-Song

Published

2021

Language

EN