Mises: The circular-von Mises distribution

In heike/rotations: Tools for working with rotational data

Description

Density for the the circular von Mises-based distribution with concentration kappa

Usage

  dvmises(r, kappa = 1, nu = NULL, Haar = T)

  pvmises(q, kappa = 1, nu = NULL, lower.tail = TRUE)

  rvmises(n, kappa = 1, nu = NULL)

Arguments

r,q	vector of quantiles
n	number of observations. If length(n)>1, the length is taken to be the number required
kappa	concentration paramter
nu	The circular variance, can be used in place of kappa
Haar	logical; if TRUE density is evaluated with respect to Haar
lower.tail	logica; if TRUE probabilites are P(X≤ x) otherwise, P(X>x)

Details

The circular von Mises-based distribution has the density

C(r|κ)=exp[κ cos(r)]/[2π I(κ)]

where I(κ) is the modified bessel function of order 0.

Value

dvmises gives the density, pvmises gives the distribution function, rvmises generates random deviates

See Also

Angular-distributions for other distributions in the rotations package

heike/rotations documentation built on May 17, 2019, 3:24 p.m.