dvMF {vMF} | R Documentation |
PDF of the von Mises - Fisher distribution.
Description
dvMF
computes the density of the von Mises - Fisher distribution, given a set of spherical coordinates and the distribution parameters.
Usage
dvMF(z, theta)
Arguments
z |
as the set of points at which the spherical coordinate will be evaluated. z may be an one row matrix or vector if it contain one spherical coordinates or a matrix whose each row is one spherical coordinates. |
theta |
as the distribution parameter. |
Details
The probability density function of the von Mises - Fisher distribution is defined by :
is the intensity parameter and
the mean directional parameter. The normalization constant
depends
on the Bessel function of the first kind. See more details here.
Value
the densities computed at each point
Author(s)
Aristide Houndetoungan <ariel92and@gmail.com>
References
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.
See Also
rvMF
and CpvMF
Examples
{}
# Draw 1000 vectors from vM-F with parameter 1, (1,0)
z <- rvMF(1000,c(1,0))
# Compute the density at these points
dvMF(z,c(1,0))
# Density of (0,1,0,0) with the parameter 3, (0,1,0,0)
dvMF(c(0,1,0,0),c(0,3,0,0))