GenVonMises {circular} | R Documentation |
Generalized Von Mises Density Function
Description
Density for the Generalized von Mises circular distribution.
Usage
dgenvonmises(x, mu1, mu2, kappa1, kappa2)
Arguments
x |
a vector. The object is coerced to class |
mu1 |
principal direction of the distribution. The object is coerced to class |
mu2 |
secondary direction parameter. The object is coerced to class |
kappa1 |
non-negative numeric parameter of the distribution. |
kappa2 |
non-negative numeric parameter of the distribution. |
Details
The Generalized von Mises distribution has density
for , where
and
is the normalizing constant.
Value
The density
Author(s)
Federico Rotolo
References
Gatto , R. & Jammalamadaka , S.R. (2007). The generalized von Mises distribution. Statistical Methodology 4, 341-353.
Examples
ff <- function(x) dgenvonmises(x, mu1=circular(5*pi/4), mu2=circular(pi/4), kappa1=.3, kappa2=1)
curve.circular(ff, join=TRUE, xlim=c(-1, 1), ylim=c(-1.2, 1.2),
main="Density of a Generalized von Mises Distribution",
xlab=expression(paste(mu,"1=5/4",pi,", ",mu2,"=",pi/4,", ",kappa,"1=0.3, ",kappa,"2=1"))
)
[Package circular version 0.5-0 Index]