von Mises distribution — vm • RTMBdist

Density, distribution function, and random generation for the von Mises distribution.

Usage

dvm(x, mu = 0, kappa = 1, log = FALSE)

pvm(q, mu = 0, kappa = 1, from = NULL, tol = 1e-20)

rvm(n, mu = 0, kappa = 1, 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.
kappa: non-negative numeric value for the concentration parameter of the distribution.
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.
tol: the precision in evaluating the distribution function
n: number of random values to return.
wrap: logical; if TRUE, generated angles are wrapped to the interval from -pi to pi.

Value

dvm gives the density, pvm gives the distribution function, and rvm generates random deviates.

Details

This implementation of dvm allows for automatic differentiation with RTMB. rvm and pvm are simply wrappers of the corresponding functions from circular.

Examples

set.seed(1)
x <- rvm(10, 0, 1)
d <- dvm(x, 0, 1)
p <- pvm(x, 0, 1)