Penta Covariance Model
RMpenta is a stationary isotropic covariance model, which is only valid 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).
RMpenta(var, scale, Aniso, proj)
var,scale,Aniso,proj |
optional arguments; same meaning for any
|
The model is only valid for dimensions d ≤ 3.
It has a 4 times differentiable covariance function with compact support (cf. Chiles, J.-P. and Delfiner, P. (1999), p. 84).
Martin Schlather, schlather@math.uni-mannheim.de, https://www.wim.uni-mannheim.de/schlather/
Chiles, J.-P. and Delfiner, P. (1999) Geostatistics. Modeling Spatial Uncertainty. New York: Wiley.
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))
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