On Invariant Tests of Uniformity for Directions and Orientations
On Invariant Tests of Uniformity for Directions and Orientations
The very general results of Beran and Gine on invariant tests of uniformity are applied to $S_p$, the surface of the unit hypersphere, and $H_p$, the surface of the unit hypersphere with antipodes identified, to give a class of invariant tests of uniformity for signed and unsigned directional data in …