Title: Modulated-symmetry-type skew distributions for directional data
Authors: Christophe Ley - Ghent University (Belgium) [presenting]
Abstract: The modulation or perturbation of symmetry is one of the most popular methods to produce skew distributions on the real line and in $R^k$. The main driving force in this research area was a seminal paper that introduced the skew-normal distribution. The idea of symmetry-modulation is simple: take a symmetric density and modulate it by multiplication with a skewing function. The resulting density is of a simple form and exhibits many nice properties. We will show how, over the past years, the idea of symmetry-modulation has been successfully extended to the world of directional data, be it on the circle, sphere or cylinder.