bdvmf {Ball} | R Documentation |
Simulated von Mises-Fisher Data
Description
Simulated random vectors following the von Mises-Fisher distribution
with mean direction and
,
and concentration parameter is
.
Format
bdvmf$x
: A numeric matrix containing simulated von Mises-Fisher data.
bdvmf$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 -dimensional sphere in
The parameters , and
, are called the mean direction and concentration
parameter, respectively. The greater the value of
,
the higher the concentration of the distribution around the mean
direction
,. The distribution is unimodal for
,
and is uniform on the sphere for
.
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.