wtd.stat.ang {ClusTorus}

Weighted extrinsic mean direction and mean resultant length

Description

wtd.stat.ang computes weighted extrinsic mean direction and mean resultant length.

Usage

wtd.stat.ang(data, w)

Arguments

data

angular data whose elements are in [0, 2\pi)

w

numeric vector whose each element is non-negative and sum(w) == 1. Moreover, the length of w is the same with nrow(data).

Value

list which is consisting of the following components:

Mean weighted extrinsic mean direction

R mean resultant length

References

Jung, S., Park, K., & Kim, B. (2021). Clustering on the torus by conformal prediction. The Annals of Applied Statistics, 15(4), 1583-1603.

Examples

data <- matrix(c(pi/3, pi/3, pi/2,
                 pi, pi/4, pi/2,
                 0, pi/3, pi/6),
               ncol = 3, byrow = TRUE)
w <- c(0.3, 0.3, 0.4)
wtd.stat.ang(data, w)