Title: On the use of transformations on the circle
Authors: Domien Craens - UGent (Belgium) [presenting]
Christophe Ley - Ghent University (Belgium)
Abstract: The transformation approach is widely used for developing new distributions on the real line. On the circle, however, it has so far received little attention. We will expand on this approach for circular random variables and discuss various properties and applications. Besides the famous Moebius transformation, we shall present new transformations, that add more flexibility to existing distributions such as the von Mises, and the corresponding likelihood ratio tests.