2 papers
math.ST2026
Berry-Esseen theorems for the asymptotic normality of incomplete U-statistics with Bernoulli sampling
Dennis Leung
There has been a resurgence of interest in incomplete U-statistics that only sum over a subset of kernel evaluations, due to their computational efficiency and asymptotic normality…
math.ST2025
Another look at Stein's method for Studentized nonlinear statistics with an application to U-statistics
Dennis Leung, Qi-Man Shao, Liqian Zhang
We take another look at using Stein's method to establish uniform Berry-Esseen bounds for Studentized nonlinear statistics, highlighting variable censoring and an exponential rando…