Comparison of the Gibbs sampler for the extension of the multivariate von Mises distribution and rejection sampling algorithm for the multivariate von Mises distribution

I did a comparison of the Mardia rejection sampling algorithm for the sine model of the bivariate von Mises and the trivariate von Mises distributions and the Gibbs sampling algorithm for my extension of the multivariate von Mises distribution in the case when the distribution coincide.

 

Left: Mardia rejection sampling algorithm. Right: Gibbs sampling algorithm.

Bivariate von Mises

BVM(0,0,0)

BVM(pi,10,2)

BVM(0,0,10)

Trivariate von Mises

TVM(0,0,10*[0 -1 1;-1 0 1;1 1 0])

projection along z axis

projection along y axis

projection along x axis