A1770
Title: U-processes of growing order and their application in mean estimation
Authors: Shunan Yao - Hong Kong Baptist University (Hong Kong) [presenting]
Stanislav Minsker - University of Southern California (United States)
Abstract: New results on robust multivariate location estimation built on U-statistical methodology are presented. First, a Bousquet-type inequality for U-processes with near-optimal constants is derived. Second, using the derived technical results, a new location estimator based on a U-statistic version of Tukey's median is introduced. The proposed estimator is shown to be asymptotically normal and achieves efficient asymptotic covariance, in contrast to the original Tukey's median.
