circular (version 0.3-7)

vonMises: von Mises Density Function

Description

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

Usage

dvonmises(x, mu, kappa)
pvonmises(q, mu, kappa, tol = 1e-020)
rvonmises(n, mu, kappa, control.circular=list())

Arguments

x, q

a vector. The object is coerced to class circular.

n

number of observations.

mu

mean direction of the distribution. The object is coerced to class circular.

kappa

non-negative numeric value for the concentration parameter of the distribution.

control.circular

the attribute of the resulting object.

tol

the precision in evaluating the distributon function.

Value

• dvonmises gives the density, pvonmises gives the distribution function and rvonmises generates random deviates.

  Since version 0.3-5 the random deviates are generated using a C code.

References

Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 2.2.4, World Scientific Press, Singapore.

Examples

data1 <- rvonmises(100, circular(0), 10, control.circular=list(units="degrees"))
plot(data1)

ff <- function(x) dvonmises(x, mu=circular(pi), kappa=10)
curve.circular(ff, join=TRUE, xlim=c(-2.3, 1), main="Density of a VonMises Distribution 
 mu=pi, kappa=10")

ff <- function(x) pvonmises(x, mu=circular(pi), kappa=10)
curve.circular(ff, join=FALSE, xlim=c(-2, 2), ylim=c(-2, 1), to=(2*pi-3*.Machine$double.eps), modulo="asis", nosort=TRUE, main="Probability of a VonMises Distribution 
 mu=pi, kappa=10")