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 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 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. 115–116. ISBN 0-521-45699-1.


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