A Bivariate Generalized von Mises Distribution with Applications to Circular Genomes

To test for independence in evolution of paired circular genomes, including bacteria and archaea, we propose a bivariate distribution (BGVM) with generalized von Mises distributions. BGVM can model paired angular data with asymmetric or/and multi-modal marginals, which remain unexplored in the area. Some distributional properties, for instance shape parameters Correspondences should be addressed to Shieh at [email protected]. These authors contributed equally to this work. z Current address: Department of Statistics, Northeast Normal University, Jiling, China.