Directional (version 2.4)

von Mises-Fisher kernel density estimation for (hyper-)spherical data: Kernel density estimation for (hyper-)spherical data using a von Mises-Fisher kernel

Description

A von Mises-Fisher kernel is used for the non parametric density estimation.

Usage

vmf.kde(x, h, thumb = "none")

Arguments

x

A matrix with unit vectors, i.e. the data being expressed in Euclidean cordinates.

h

The bandwidth to be used.

thumb

If this is "none", the given bandwidth is used. If it is "rot" the rule of thumb suggested by Garcia-Portugues (2013) is used.

Value

A list including: A list including:

Details

A von Mises-Fisher kernel is used for the non parametric density estimation.

References

Garcia Portugues, E. (2013). Exact risk improvement of bandwidth selectors for kernel density estimation with directional data. Electronic Journal of Statistics, 7, 1655-1685.

See Also

vmfkde.tune, vm.kde, vmf, vmkde.tune

Examples

x <- rvmf(100, rnorm(5), 15)
h <- vmfkde.tune(x)[1]
f1 <- vm.kde(x, h = h, thumb = "none")
f2 <- vm.kde(x, h = h, thumb = "rot")
f1$h  ;  f2$h