CpvMF {vMF} | R Documentation |
CpvMF
returns the normalization constant of von Mises - Fisher density.
CpvMF(p, k)
p |
as sphere dimension. |
k |
as the intensity parameter. |
The probability density function of the von Mises - Fisher distribution is defined by :
f(z|theta) = C_p(|theta|)\exp{(z theta)}
|theta|
is the intensity parameter and \frac{theta}{|theta|}
the mean directional parameter. The normalization constant C_p()
depends
on the Bessel function of the first kind. See more details here.
the normalization constant.
Wood, A. T. (1994). Simulation of the von Mises Fisher distribution. Communications in statistics-simulation and computation, 23(1), 157-164. doi:10.1080/03610919408813161.
Hornik, K., & Grun, B. (2014). movMF: An R package for fitting mixtures of von Mises-Fisher distributions. Journal of Statistical Software, 58(10), 1-31. doi:10.18637/jss.v058.i10.
CpvMF(2,3.1)