Title: Some new results on tests for uniformity on the sphere
Authors: Thomas Verdebout - Universite Libre de Bruxelles (Belgium) [presenting]
Abstract: In dealing with directional data one of the preliminary steps, before any further inference, is to test if such data is isotropic i.e. uniformly distributed around the circle, the sphere or more generally the hypersphere. In view of its importance, there is a considerable literature on the topic. We provide original asymptotic results related to the well-known class of Sobolev tests of uniformity.