Семинар HDI Lab: Berry-Esseen bounds for generalized U-statistics
В этот четверг, 28 марта, в 14:40 состоится очередной семинар. С докладом выступит Zhuo-Song Zhang (Southern University of Science and Technology). Cсылка на Zoom по запросу.
Berry-Esseen bounds for generalized U-statistics
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 Erdös-Rényi graphs and graphon-random graph is obtained.