A0910
Title: Gaussian approximations for high-dimensional non-degenerate U-statistics via exchangeable pairs
Authors: Zhi Liu - University of Macau (China) [presenting]
Abstract: Some recent results are reported on the non-asymptotic bound for Gaussian approximations for centered high-dimensional non-degenerate U-statistics over the class of hyper-rectangles via. We improved the upper bound of the convergence rate from the order one-sixth of the sample size to a quarter of the sample size, up to a polynomial factor of the logarithm of the dimension.
