wrapped Cauchy distribution — wrpcauchy • RTMBdist

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 random values to return.
wrap: logical; if TRUE, generated angles are wrapped to the interval from -pi to pi.

Value

dwrpcauchy gives the density and rwrpcauchy generates random deviates.

Details

This implementation of dwrpcauchy allows for automatic differentiation with RTMB. rwrpcauchy is simply a wrapper for rwrappedcauchyimported from circular.

Examples

set.seed(1)
x <- rwrpcauchy(10, 0, 0.5)
d <- dwrpcauchy(x, 0, 0.5)