We introduce some new classes of unimodal rotational invariant directional distributions,
which generalize von Mises–Fisher distribution. We propose three types of distributions, one …

Abstract The von Mises-Fisher distribution is widely used for modelling directional data. In
this paper we propose goodness-of-fit methods for a concentrated von Mises-Fisher …

Explicit expressions are given for the confidence regions for the mean direction of the von
Mises–Fisher distribution based on asymptotic expansions with large sample size, high …

This article deals with some important computational aspects of the generalized von Mises
distribution in relation with parameter estimation, model selection and simulation. The …

The von Mises-Fisher distribution is widely used for modeling directional data. In this article,
we derive the discriminant rules based on this distribution to assign objects into pre-existing …

This paper focuses on the estimation and testing of a shape parameter or concentration
parameter κ of a directional distribution named Fisher-von Mises-Langevin distribution. The …

Spherical distributions, including the von Mises-Fisher density, have received a great
attention in the literature because of their usefulness to model circular data lying on the unit …

It will not be an exaggeration to say that RA Fisher is the Albert Einstein of Statistics. He
pioneered almost all the main branches of statistics, but it is not as well known that he …

In this chapter we introduce the broad class of generalized von Mises–Fisher (GvMF)
distributions on the unit hypersphere S p− 1, which arises from a generalization of the von …

The Pearson-type family densities are among the most important classes of distributions,
also playing key roles in directional statistics. To model data scattered asymmetrically on …