On the information matrix for symmetric distributions on the hypersphere
In this work a general definition of symmetry for a directional model is given in terms of the invariance of the distribution with respect to a subgroup of O(k), the group of orthogonal transformations in \(R^ k\). Then the information matrix for the parameters indexing a symmetric density is shown to be block-diagonal: one block for the location and one block for the shape. This result is used to construct an algorithm for the efficient estimation of the parameters.
symmetric distributions on the hypersphere
scientific article; zbMATH DE number 3868435