RMgneitingdiff: Gneiting Covariance Model Used as Tapering Function
In RandomFields: Simulation and Analysis of Random Fields

Description Usage Arguments Details Value References See Also Examples

RMgneitingdiff is a stationary isotropic covariance model which is only valid up to dimension 3. The corresponding covariance function only depends on the distance r ≥ 0 between two points and is given by

C(h) = C_0(h / t) W_ν(h / s)

where C_0 is Gneiting's model RMgneiting and W_ν is the Whittle model RMwhittle.

1	RMgneitingdiff(nu, taper.scale, scale, var, Aniso, proj)

`nu`	see `RMwhittle`
`taper.scale`	is the parameter t in the above formula.
`scale`	is the parameter s in the above formula.
`var,Aniso,proj`	optional arguments; same meaning for any `RMmodel`. If not passed, the above covariance function remains unmodified.

The model allows to a certain degree the smooth modelling of the differentiability of a covariance function with compact support.

RMgneitingdiff returns an object of class RMmodel.

Gneiting, T. (1999) Correlation functions for atmospherical data analysis. Q. J. Roy. Meteor. Soc Part A 125, 2449-2464.

RMbigneiting, RMgneiting, RMgengneiting, RMgauss, RMmodel, RMwhittle, RFsimulate, RFfit.

RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
##                   RFoptions(seed=NA) to make them all random again
model <- RMgneitingdiff(nu=2, taper.scale=1, scale=0.2)
x <- seq(0, 10, 0.02)
plot(model)
plot(RFsimulate(model, x=x))