Some properties of a Cauchy family on the sphere derived from the Möbius transformations
Some properties of a Cauchy family on the sphere derived from the Möbius transformations
We present some properties of a Cauchy family of distributions on the sphere, which is a spherical extension of the wrapped Cauchy family on the circle. The spherical Cauchy family is closed under the Möbius transformations on the sphere and the parameter of the transformed family is expressed using extended …