EstimateKappa: Robust estimation of the concentration parameter kappa of the...

In bpDir: Boxplots for Directional Data

Robust estimation of the concentration parameter kappa of the von Mises distribution from robust measures of dispersion

Description

Robust estimation of the concentration parameter of the von Mises distribution from robust measures of dispersion (Demni et al, 2026)

Usage

EstimateKappa(X, stat = c("CLMS","CMAD", "CLTS"), results_grid = NULL)

Arguments

X	numeric; a vector of class circular
stat	character; one of the available estimators c("CLMS","CMAD", "CLTS"), respectively Circular Median Absolute Deviation, Circular Least Median Spread, Circular Least Trimmed Standard deviation.
results_grid	a dataframe of a custom grid of kappa used for interpolation. If NULL (default), the grid is handled automatically.

Value

CSD	the estimated circular standard deviation based on the robust measures of dispersion
kappa	the estimated kappa based on the estimated robust circular standard deviation

Author(s)

Davide Buttarazzi, Houyem Demni

References

Demni et al. (2026), Robust measures of dispersion for circular data with an anomaly detection rule. Under review.

See Also

CircularViolinPlot

Examples

#install.packages("circular")
require(circular)
data1 <- rvonmises(50, circular(pi/2), 5)
EstimateKappa(data1)

bpDir documentation built on Nov. 9, 2026, 9:07 a.m.