Mixtures of concentrated multivariate sine distributions with applications to bioinformatics
Kanti V. Mardia, John T. Kent, Zhengzheng Zhang, Charles C Taylor, Thomas Hamelryck · Journal of Applied Statistics · 2012
Motivated by examples in protein bioinformatics, we study a mixture model of multivariate angular distributions. The distribution treated here (multivariate sine distribution) is a multivariate extension of the well-known von Mises distribution on the circle. The density of the sine distribution has an intractable normalizing constant and here we propose to replace it in the concentrated case by a simple approximation. We study the EM algorithm for this distribution and apply it to a practical example from protein bioinformatics.