1 citations · 1 across the 5 of their papers we have counts for
5 papers
Concentration of random polytopes around the expected convex hull
Daniel J. Fresen, Richard A. Vitale
We provide a streamlined proof and improved estimates for the weak multivariate Gnedenko law of large numbers on concentration of random polytopes within the space of convex bodies…
Multivariate medians and measure-symmetrization
Richard A. Vitale
We discuss two research areas dealing respectively with (1) a class of multivariate medians and (2) a symmetrization algorithm for probability measures.
Intrinsic L_p metrics for convex bodies
R. A. Vitale
Intrinsic metrics are defined and shown to satisfy a dimension--free bound with respect to the Hausdorff metric.
Some Comparisons for Gaussian Processes
Richard A. Vitale
Extensions and variants are given for the well-known comparison principle for Gaussian processes based on ordering by pairwise distance.
Intrinsic Volumes of the Brownian Motion Body
Fuchang Gao, Richard A. Vitale
Motivated from Gaussian processes, we derive the intrinsic volumes of the infinite--dimensional Brownian motion body. The method is by discretization to a class of orthoschemes. Nu…