Invariant Tests for Uniformity on Compact Riemannian Manifolds Based on Sobolev Norms
Invariant Tests for Uniformity on Compact Riemannian Manifolds Based on Sobolev Norms
Several invariant tests for uniformity of a distribution on the circle, the sphere and the hemisphere have been proposed by Rayleigh, Watson, Bingham, Ajne, Beran and others. In this paper a class of invariant tests for uniformity on compact Riemannian manifolds containing many of the known ones is presented and …