219 citations · 1k across the 41 of their papers we have counts for
42 papers
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…
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…
Cramér's moderate deviations for martingales with applications
Xiequan Fan, Qi-Man Shao
Let be a sequence of martingale differences. Set and …
Cramér-type Moderate Deviation for Quadratic Forms with a Fast Rate
Xiao Fang, Song-Hao Liu, Qi-Man Shao
Let be independent and identically distributed random vectors in . Suppose , , where is the $d\times d…
Refined Cramér Type Moderate Deviation Theorems for General Self-normalized Sums with Applications to Dependent Random Variables and Winsorized Mean
Lan Gao, Qi-Man Shao, Jiasheng Shi
Let {(X_i,Y_i)}_{i=1}^n be a sequence of independent bivariate random vectors. In this paper, we establish a refined Cramér type moderate deviation theorem for the general self-nor…
Berry--Esseen Bounds for Multivariate Nonlinear Statistics with Applications to M-estimators and Stochastic Gradient Descent Algorithms
Qi-Man Shao, Zhuo-Song Zhang
We establish a Berry--Esseen bound for general multivariate nonlinear statistics by developing a new multivariate-type randomized concentration inequality. The bound is the best po…