bdvmf {Ball} | R Documentation |

## Simulated von Mises-Fisher Data

### Description

Simulated random vectors following the von Mises-Fisher distribution
with mean direction *μ_{x}=(1, 0, 0)* and *μ_{y}=(1, 1, 1)*,
and concentration parameter is *κ = 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 Misesâ€“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 *μ*, and *κ*, are called the mean direction and concentration
parameter, respectively. The greater the value of *κ*,
the higher the concentration of the distribution around the mean
direction *μ*,. The distribution is unimodal for *κ*,
and is uniform on the sphere for *κ=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. 115â€“116. ISBN 0-521-45699-1.

[Package

*Ball* version 1.3.12

Index]