Title: Bayesian analysis of skew spherical data with rotationally-symmetric distributions
Authors: Najmeh Nakhaeirad - University of Pretoria (South Africa) [presenting]
Andriette Bekker - University of Pretoria (South Africa)
Mohammad Arashi - Ferdowsi University of Mashhad (Iran)
Abstract: The von-Mises Fisher distribution is the most common symmetric distribution in spherical studies. In reality, the symmetry assumption of the underlying distribution is often rejected. This shows the importance of studying the skewed directional distributions. Therefore, the skewed version of von-Mises Fisher distribution is a good alternative. Bayesian inference of skew-von-Mises Fisher distribution is presented. Sample generation from the posterior distribution is discussed using the modified Gibb's sampling and the weighted bootstrap resampling algorithms and to illustrate the obtained results a numerical example is provided.