von Mises Density Function
Density, distribution function, random generation and quantiles for the von Mises circular distribution.
rvonmises(n, mu, kappa, control.circular=list()) dvonmises(x, mu, kappa, log) pvonmises(q, mu, kappa, from=NULL, tol = 1e-020) qvonmises(p, mu = circular(0), kappa=NULL, from=NULL, tol = .Machine$double.eps^(0.6), control.circular = list(), ...)
x, q, p |
a vector. The |
n |
number of observations. |
mu |
mean direction of the distribution. The object is coerced to class |
kappa |
non-negative numeric value for the concentration parameter of the distribution. |
log |
logical; if TRUE, probabilities p are given as log(p). |
from |
if |
tol |
the precision in evaluating the distributon function or the quantile. |
control.circular |
the attribute of the resulting object. |
... |
parameters passed to |
dvonmises gives the density, pvonmises gives the
distribution function, rvonmises generates random deviates and
qvonmises provides quantiles.
Since version 0.3-5 the random deviates are generated using a C code.
Claudio Agostinelli, Ulric Lund and Harry Southworth
Jammalamadaka, S. Rao and SenGupta, A. (2001). Topics in Circular Statistics, Section 2.2.4, World Scientific Press, Singapore.
data1 <- rvonmises(100, circular(0), 10, control.circular=list(units="degrees")) plot(data1) ff <- function(x) dvonmises(x, mu=circular(pi), kappa=10) curve.circular(ff, join=TRUE, xlim=c(-2.3, 1), main="Density of a VonMises Distribution \n mu=pi, kappa=10") ff <- function(x) pvonmises(x, mu=circular(pi), kappa=10) curve.circular(ff, join=FALSE, xlim=c(-2, 2), ylim=c(-2, 1), to=(2*pi-3*.Machine$double.eps), modulo="asis", nosort=TRUE, main="Probability of a VonMises Distribution \n mu=pi, kappa=10") plot(function(x) qvonmises(x, mu=circular(0), kappa=5), from=0, to=1) ##curve do not work! plot(function(x) qvonmises(x, mu=circular(pi), kappa=5), from=0, to=1) plot(function(x) qvonmises(x, mu=circular(pi), kappa=5, from=circular(pi/2)), from=0, to=1)
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