Chernozhukov, Victor; Chetverikov, Denis; Kato, Kengo - 2016 - This version: May 31, 2016
In this paper, we derive central limit and bootstrap theorems for probabilities that centered high-dimensional vector sums hit rectangles and sparsely convex sets. Specifically, we derive Gaussian and bootstrap approximations for the probabilities that a root-n rescaled sample average of Xi is...