mix.vmf: Mixtures of Von Mises-Fisher distributions

In Directional: Directional Statistics

Description

It performs model based clustering for circualr, spherical and hyperspherical data assuming von Mises-Fisher distributions.

Usage

mix.vmf(x, g)

Arguments

x	A matrix with the data expressed as unit vectors.
g	The number of groups to fit. It must be greater than or equal to 2.

Details

The initial step of the algorithm is not based on a spherical k-means, but on s imple k-means. The results are comparable to the package movMF.

Value

A list including:

param	A matrix with the mean direction, the concetrations parameter and mixing probability of each group.
loglik	The value of the maximised log-likelihood.
pred	The predicted group of each observation.
runtime	The run time of the algorithm. A numeric vector. The first element is the user time, the second element is the system time and the third element is the elapsed time.

Author(s)

Michail Tsagris

R implementation and documentation: Michail Tsagris <[e-mail]> and Giorgos Athineou <[e-mail]>

References

Kurt Hornik and Bettina Grun (2014). movMF: An R Package for Fitting Mixtures of von Mises-Fisher Distributions http://cran.r-project.org/web/packages/movMF/vignettes/movMF.pdf

See Also

rmixvmf, bic.mixvmf, mixvmf.contour

Examples

k <- runif(4, 4, 20)
prob <- c(0.2, 0.4, 0.3, 0.1)
mu <- matrix(rnorm(16), ncol = 4)
mu <- mu / sqrt( rowSums(mu^2) )
x <- rmixvmf(200, prob, mu, k)$x
mix.vmf(x, 3)
mix.vmf(x, 4)
mix.vmf(x, 5)

Directional documentation built on May 29, 2017, 5:42 p.m.

Fast calculation of the spherical and hyperspherical median

Directional index

Contour plot of a mixture of von Mises-Fisher distributions...