von Mises distribution

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 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

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

Details

The implementation of dvm allows for automatic differentiation with RTMB. rvm and pvm are imported from CircStats and circular respectively.

Examples

set.seed(1)
x = rvm(1000, 0, 1)
d = dvm(x, 0, 1)
p = pvm(x, 0, 1)