Bayesian Nonparametrics for Directional Statistics

07/01/2018

∙

by   Olivier Binette, et al.

∙

0

∙

share

A density basis of the trigonometric polynomials, suitable for mixture modelling, is introduced. Statistical and geometric properties are derived, suggesting it as a circular analogue to the Bernstein polynomial densities. Nonparametric priors are constructed and strong posterior consistency is obtained for a wide class of densities. We conclude by comparing posterior mean estimates to other circular density estimation methods, also based on trigonometric polynomials, previously suggested in the literature.