Title
An efficient simulation algorithm for the generalized von Mises distribution of order two
Abstract
In this article we propose an exact efficient simulation algorithm for the generalized von Mises circular distribution of order two. It is an acceptance-rejection algorithm with a piecewise linear envelope based on the local extrema and the inflexion points of the generalized von Mises density of order two. We show that these points can be obtained from the roots of polynomials and degrees four and eight, which can be easily obtained by the methods of Ferrari and Weierstrass. A comparative study with the von Neumann acceptance-rejection, with the ratio-of-uniforms and with a Markov chain Monte Carlo algorithms shows that this new method is generally the most efficient.
Year
DOI
Venue
2013
10.1007/s00180-011-0297-6
Computational Statistics
Keywords
DocType
Volume
comparative study,Monte Carlo algorithm,exact efficient simulation algorithm,acceptance-rejection algorithm,von Neumann acceptance-rejection,generalized von,generalized von Mises distribution,Markov chain,inflexion point,generalized von Mises density,circular distribution
Journal
28
Issue
ISSN
Citations 
1
1613-9658
1
PageRank 
References 
Authors
0.37
2
2
Name
Order
Citations
PageRank
Samuel Pfyffer110.37
Riccardo Gatto2125.65