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Sampling from compositional and directional distributions
Authors:Alfred Kume  Stephen G Walker
Institution:(1) Institute of Mathematics, Statistics and Actuarial Science, University of Kent, Canterbury, CT2 7NF, UK
Abstract:This paper describes a method for sampling from a non-standard distribution which is important in both population genetics and directional statistics. Current approaches rely on complicated procedures which do not work well, if at all, in high dimensions and usual parameter set-ups. We use a Gibbs sampler which seems necessary in practical situations of high dimensions.
Keywords:Directional statistics  Bingham distribution  Gibbs sampling  Population genetics
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