wrapped Cauchy distribution

Density and random generation for the wrapped Cauchy distribution.

Usage

dwrpcauchy(x, mu = 0, rho, log = FALSE)

rwrpcauchy(n, mu = 0, rho, wrap = TRUE)

Arguments

x

vector of angles measured in radians at which to evaluate the density function.

mu

mean direction of the distribution measured in radians.

rho

concentration parameter of the distribution, must be in the interval from 0 to 1.

log

logical; if TRUE, densities are returned on the log scale.

n

number of observations. If length(n) > 1, the length is taken to be the number required.

wrap

logical; if TRUE, generated angles are wrapped to the interval [-pi, pi].

Value

dwrpcauchy gives the density and rwrpcauchy generates random deviates.

Details

The implementation of dwrpcauchy allows for automatic differentiation with RTMB. rwrpcauchy is imported from CircStats.

Examples

set.seed(1)
x = rwrpcauchy(10, 0, 1)
d = dwrpcauchy(x, 0, 1)