RandomFields (version 3.0.10)

RMcircular: Circular Covariance Model

Description

RMcircular is a stationary isotropic covariance model which is only valid for dimensions $d \le 2$. The corresponding covariance function only depends on the distance $r \ge 0$ between two points and is given by $$C(r) = 1 - 2/\pi (r \sqrt(1-r^2) + arcsin(r)) 1_{[0,1]}.$$

Usage

RMcircular(var, scale, Aniso, proj)

Arguments

var,scale,Aniso,proj

optional parameters; same meaning for any RMmodel. If not passed, the above covariance function remains unmodified.

Value

• RMcircular returns an object of class RMmodel

Details

The model is only valid for dimensions $d \le 2$. It is a covariance function with compact support (cf. Chiles, J.-P. and Delfiner, P. (1999), p. 82).

References

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

See Also

RMmodel, RFsimulate, RFfit.

Examples

RFoptions(seed=0)
model <- RMcircular()
x <- seq(0, 10, if (interactive()) 0.02 else 1) 
plot(model, ylim=c(0,1))
plot(RFsimulate(model, x=x))
RFoptions(seed=NA)