dcirc: Density values for circular distributions

In circda: Circular Data Analysis

Density values for circular distributions

Description

Density values for circular distributions.

Usage

dcirc(u, rads = TRUE, mu, kappa, rho, type = "vm", logden = FALSE)

Arguments

u	A vector with the values at which the density is to be computed.
rads	The data are expressed in rads (TRUE) or angles (FALSE)?
mu	A vector with the circular mean (in radians).
kappa	A vector with the concentration parameter.
rho	A vector with the \rho parameter of the GCPC distribution.
type	The distribution to fit, "vm" is von Mises distribution, "cp" is the circular Purkayastha distribution, "pn" is projected normal distribution, "gcpc" is GCPC distribution and "cipc" is CIPC (or wrapped Cauchy) distribution.
logden	If you want the log of the density set this equal to TRUE.

Details

The function computes the density of a given circular distribution at the given points.

Value

A vector with the density values of the circular distribution computed at the given points.

Author(s)

Michail Tsagris.

R implementation and documentation: Michail Tsagris [e-mail].

References

Perdikis T., Alharbi N. and Tsagris M. (2026). Model–based clustering for spherical and hyper–spherical data using elliptically symmetric distributions.

https://arxiv.org/abs/2605.27496

See Also

rcirc

Examples

u <- rcirc(100, mu = 3, kappa = 2, rads = TRUE, type = "vm")
mod <- circ.mle(u, rads = TRUE, type = "vm")
f <- dcirc(u, rads = TRUE, mu = mod$param[1], kappa = mod$param[2], logden = TRUE)
sum(f)

circda documentation built on Sept. 15, 2026, 5:09 p.m.