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rotations (version 1.6.1)

vmises.kappa: Circular variance and concentration parameter

Description

Return the concentration parameter that corresponds to a given circular variance.

Usage

vmises.kappa(nu)

Arguments

nu

circular variance

Value

Concentration parameter corresponding to nu.

Details

The concentration parameter κ does not translate across circular distributions. A commonly used measure of spread in circular distributions that does translate is the circular variance defined as ν=1E[cos(r)] where E[cos(r)] is the mean resultant length. See mardia2000 for more details. This function translates the circular variance ν into the corresponding concentration parameter κ for the circular-von Mises distribution. For numerical stability, a maximum κ of 500 is returned.

mardia2000

See Also

Mises

Examples

Run this code
# NOT RUN {
# Find the concentration parameter for circular variances 0.25, 0.5, 0.75
vmises.kappa(0.25)
vmises.kappa(0.5)
vmises.kappa(0.75)
# }

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