Asymptotics of the convex hull of spherically symmetric samples Original Research Article

In this paper we consider the convex hull of a spherically symmetric sample in image. Our main contributions are some new asymptotic results for the expectation of the number of vertices, number of facets, area and the volume of the convex hull assuming that the marginal distributions are in the Gumbel max-domain of attraction. Further, we briefly discuss two other models assuming that the marginal distributions are regularly varying or image-regularly varying.