HDiR (version 1.1.3)

circ.distances: Euclidean and Hausdorff distances between two sets of points on the unit circle

Description

This function determines the Euclidean and Hausdorff distances between two sets of points on the unit circle.

Usage

circ.distances(x, y)

Value

A list with two components:

dE

Euclidean distance.

dH

Hausdorff distance.

Arguments

x

Numeric vector of angles in radians determining a set of points on the unit circle.

y

Numeric vector of angles in radians determining a set of points on the unit circle.

Author

Paula Saavedra-Nieves and Rosa M. Crujeiras.

Details

If x and y corresponds to two HDRs boundaries, this function returns the Euclidean and Hausdorff distances between the HDRs frontiers, but the function computes the Euclidean and Hausdorff distance for two sets of points on the circle, no matter their nature. See Saavedra-Nieves and Crujeiras (2021) for more details on these two distances.

References

Saavedra-Nieves, P. and Crujeiras, R. M. (2021). Nonparametric estimation of directional highest density regions. Advances in Data Analysis and Classification, 1-36.

Examples

# Distances between boundaries of two plug-in HDR estimators for orientations of saltator specie
data(sandhoppers)
attach(sandhoppers)
#Orientations in October
saltatorO<-angle[(species=="salt")&(time=="afternoon")&(sex=="M")&(month=="October")]
hdr1<-circ.plugin.hdr(sample=saltatorO,tau=0.8,plot.hdrconf=FALSE)$hdr
#Orientations in April
saltatorA<-angle[(species=="salt")&(time=="afternoon")&(sex=="M")&(month=="April")]
hdr2<-circ.plugin.hdr(sample=saltatorA,tau=0.8,plot.hdrconf=FALSE)$hdr
circ.distances(hdr1,hdr2)