ClusTorus (version 0.2.2)

wtd.stat.ang: 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

# NOT RUN {
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)
# }