| bdvmf {Ball} | R Documentation |
Simulated von Mises-Fisher Data
Description
Simulated random vectors following the von Mises-Fisher distribution
with mean direction \mu_{x}=(1, 0, 0) and \mu_{y}=(1, 1, 1),
and concentration parameter is \kappa = 3.
Format
bdvmf$x: A 300 \times 3 numeric matrix containing simulated von Mises-Fisher data.
bdvmf$group: A group index vector.
Details
In directional statistics, the von Mises–Fisher distribution
(named after Ronald Fisher and Richard von Mises), is a probability distribution
on the (p-1)-dimensional sphere in R^{p}
The parameters \mu, and \kappa, are called the mean direction and concentration
parameter, respectively. The greater the value of \kappa,
the higher the concentration of the distribution around the mean
direction \mu,. The distribution is unimodal for \kappa,
and is uniform on the sphere for \kappa=0.
References
Embleton, N. I. Fisher, T. Lewis, B. J. J. (1993). Statistical analysis of spherical data (1st pbk. ed.). Cambridge: Cambridge University Press. pp. 115–116. ISBN 0-521-45699-1.