R: Gneiting Covariance Model Used as Tapering Function

RMgneitingdiff {RandomFields} | R Documentation

## Gneiting Covariance Model Used as Tapering Function

### Description

`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`.

### Usage

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

### Arguments

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

### Details

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

### Value

`RMgneitingdiff` returns an object of class `RMmodel`.

### Author(s)

Martin Schlather, schlather@math.uni-mannheim.de

### References

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

### See Also

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

### Examples

    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))

[Package RandomFields version 3.1.50 Index]