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rotations (version 0.1)

vmises_kappa: Circular variance and concentration parameter

Description

The concentration parameter $\kappa$ does not translate across circular distributions. A commonly used measure of spread in circular distributions that does translate is the circular variance defined as $\nu=1-E[\cos(r)]$ where $E[\cos(r)]$ is the mean resultant length. See Mardia et al. (2000) for more details. This function translates the circular variance $\nu$ into the corresponding concentration parameter $\kappa$ for the circular-von Mises distribution.

Usage

vmises_kappa(nu)

Arguments

nu
circular variance.

Value

  • Concentration parameter corresponding to nu.

References

Mardia, K. V., & Jupp, P. E. Directional statistics. 2000.

See Also

Mises