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09/11/2023
Self-normalized Cramér type moderate deviations for martingales and applications
Cramér's moderate deviations give a quantitative estimate for the relati...
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03/15/2023
Nonuniform Berry-Esseen bounds for Studentized U-statistics
We establish nonuniform Berry-Esseen (B-E) bounds for Studentized U-stat...
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01/05/2023
Another look at Stein's method for Studentized nonlinear statistics with an application to U-statistics
We take another look at using Stein's method to establish uniform Berry-...
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04/06/2022
Cramér's moderate deviations for martingales with applications
Let (ξ_i,ℱ_i)_i≥1 be a sequence of martingale differences. Set X_n=∑_i=1...
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07/28/2021
Refined Cramér Type Moderate Deviation Theorems for General Self-normalized Sums with Applications to Dependent Random Variables and Winsorized Mean
Let (X_i,Y_i)_i=1^n be a sequence of independent bivariate random vector...
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07/16/2021
Self-normalized Cramer moderate deviations for a supercritical Galton-Watson process
Let (Z_n)_n≥0 be a supercritical Galton-Watson process. Consider the Lot...
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02/09/2021