A Fast Algorithm for Sampling from the Posterior of a von Mises distribution

Autor: Forbes, Peter G. M., Mardia, Kanti V.
Rok vydání: 2014
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1080/00949655.2014.928711
Popis: Motivated by molecular biology, there has been an upsurge of research activities in directional statistics in general and its Bayesian aspect in particular. The central distribution for the circular case is von Mises distribution which has two parameters (mean and concentration) akin to the univariate normal distribution. However, there has been a challenge to sample efficiently from the posterior distribution of the concentration parameter. We describe a novel, highly efficient algorithm to sample from the posterior distribution and fill this long-standing gap.
Databáze: arXiv