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math.ST2023★ 1 cited
Nonuniform Berry-Esseen bounds for Studentized U-statistics
Dennis Leung, Qi-Man Shao
We establish nonuniform Berry-Esseen (B-E) bounds for Studentized U-statistics of the rate under a third-moment assumption, which covers the t-statistic that correspon…
math.ST2023
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…