R: Penta Covariance Model

RMpenta {RandomFields} | R Documentation

## Penta Covariance Model

### Description

`RMpenta` is a stationary isotropic covariance model, which is valid only for dimensions d ≤ 3. The corresponding covariance function only depends on the distance r ≥ 0 between two points and is given by

C(r)=(1 - 22/3 r^{2} + 33 r^{4} - 77/2 r^{5} + 33/2 r^{7} - 11/2 r^{9} + 5/6 r^{11}) 1_{[0,1]}(r).

### Usage

    RMpenta(var, scale, Aniso, proj)

### Arguments

`var,scale,Aniso,proj` | optional arguments; same meaning for any `RMmodel`. If not passed, the above covariance function remains unmodified.

### Details

The model is only valid for dimension d ≤ 3.

It has a 4 times differentiable covariance function with compact support (cf. Chiles, J.-P. and Delfiner, P. (1999), p. 84).

### Value

`RMpenta` returns an object of class `RMmodel`

### Author(s)

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

### References

- Chiles, J.-P. and Delfiner, P. (1999) Geostatistics. Modeling Spatial Uncertainty. New York: Wiley.

### See Also

`RMmodel`, `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 <- RMpenta()
    x <- seq(0, 10, 0.02)
    plot(model)
    plot(RFsimulate(model, x=x))

[Package RandomFields version 3.1.50 Index]