On von mises directions

Abstract

In a previous paper [4], the author has derived the distribution of the length of the projection of a random unit vector inR n on the subspaceR m (1≦mň). The method used there is now applied to a direction defined by a unit vector of ann-dimensional hypersphere on the surface of which the probability element is given by then-dimensional von Mises distribution. The results obtained here include the previous results as a special case, since the random direction is a special case of von Mises direction.