vonmises function

The von Mises Distribution

Density, probability distribution function, quantiles, and random generation for the circular normal distribution with mean and kappa.

rvm(n, mean, kappa)

dvm(theta, mean, kappa, log = FALSE, axial = FALSE)

pvm(theta, mean, kappa, from = NULL, tol = 1e-20)

qvm(p, mean = 0, kappa, from = NULL, tol = .Machine$double.eps^(0.6), ...)

Arguments

• n: integer. Number of observations in degrees
• mean: numeric. Mean angle in degrees
• kappa: numeric. Concentration parameter in the range (0, Inf]
• theta: numeric. Angular value in degrees
• log: logical. If TRUE, probabilities p are given as log(p).
• axial: logical. Whether the data are axial, i.e. $\pi$-periodical (TRUE, the default) or directional, i.e. $2 \pi$-periodical (FALSE).
• from: if NULL is set to $mu-pi$. This is the value from which the pvm and qvm are evaluated. in degrees.
• tol: numeric. The precision in evaluating the distribution function or the quantile.
• p: numeric. Vector of probabilities with values in $[0,1]$.
• ...: parameters passed to stats::integrate().

Returns

dvm gives the density, pvm gives the probability of the von Mises distribution function, rvm generates random deviates (in degrees), and qvm provides quantiles (in degrees).

Examples

set.seed(1)
x <- rvm(5, mean = 90, kappa = 2)

dvm(x, mean = 90, kappa = 2)
dvm(x, mean = 90, kappa = 2, axial = TRUE)

pvm(x, mean = 90, kappa = 2)
qvm(c(.25, .5, .75), mean = 90, kappa = 2)