Cayley: The Symmetric Cayley Distribution
In heike/rotations: Tools for working with rotational data

Description Usage Arguments Details Value References See Also

Density and random generation for the Cayley distribution with concentration kappa (κ)

  dcayley(r, kappa = 1, nu = NULL, Haar = TRUE)

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

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

`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

The symmetric Cayley distribution with concentration kappa (or circular variance nu) had density

C(r |κ)= Γ(κ+2)(1+cos r)^κ(1-cos r)/[Γ(κ+1/2)2^(κ+1)√π].

dcayley gives the density, pcayley gives the distribution function, rcayley generates random deviates

León C, é JM and Rivest L (2006). "A statistical model for random rotations." _Journal of Multivariate Analysis_, *97*(2), pp. 412-430.

Schaeben H (1997). "A Simple Standard Orientation Density Function: The Hyperspherical de la Vallée Poussin Kernel." _Phys. Stat. Sol. (B)_, *200*, pp. 367-376.

Angular-distributions for other distributions in the rotations package

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