Wrapped Cauchy distribution — wrpcauchy • LaMa

Density, distribution function and random generation for the wrapped Cauchy distribution.

Usage

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

pwrpcauchy(q, mu = 0, rho, from = NULL)

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

Arguments

x, q: 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.
from: value from which the integration for CDF starts. If NULL, is set to mu - pi.
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, pwrpcauchy gives the distribution function, and rwrpcauchy generates random deviates.

Details

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

Examples

set.seed(1)
x = rwrpcauchy(10, 0, 0.3)
d = dwrpcauchy(x, 0, 0.3)
p = pwrpcauchy(x, 0, 0.3)