sums hit rectangles and sparsely convex sets. Specifically, we derive Gaussian and bootstrap approximations for the … all rectangles, or more generally, sparsely convex sets, and does not require any restrictions on the correlation among … functions depend nontrivially only on a small subset of their arguments, with rectangles being a special case. …

high-dimensional centered random vectors X1, . . . , Xn over the class of rectangles in the case when the covariance matrix …