dJp: Jones and Pewsey (2005)'s circular distribution

Description Usage Arguments Details Value References Examples

View source: R/distributions.R

Description

Computes the circular density of Jones and Pewsey (2005).

Usage

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dJp(x, mu, kappa, psi, const = NULL)

constJp(mu, kappa, psi, M = 200)

Arguments

x

evaluation angles, not necessary in [π,π).

mu

circular mean.

kappa

non-negative concentration parameter.

psi

shape parameter, see details.

const

normalizing constant, computed with constJp if not provided.

M

grid size for computing the normalizing constant by numerical integration.

Details

Particular interesting choices for the shape parameter are:

Value

A vector of the same length as x containing the density.

References

Jammalamadaka, S. R. and SenGupta, A. (2001) Topics in Circular Statistics. World Scientific, Singapore. doi: 10.1142/4031

Jones, M. C. and Pewsey, A. (2005). A family of symmetric distributions on the circle. Journal of the American Statistical Association, 100(472):1422–1428. doi: 10.1198/016214505000000286

Examples

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x <- seq(-pi, pi, l = 200)
plot(x, x, type = "n", ylab = "Density", ylim = c(0, 0.6))
for (i in 0:20) {
  lines(x, dJp(x = x, mu = 0, kappa = 1, psi = -2 + 4 * i / 20),
        col = rainbow(21)[i + 1])
}

sdetorus documentation built on Aug. 19, 2021, 9:06 a.m.

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