Coins {RandomFields}R Documentation

Random coin method

Description

The random coin method (or dilution method) is simulation method for stationary Gaussian random fields. It is based on the following procedure: For a stationary Poisson point process on R^d consider the random field

Y(y) = ∑_{x\in X} f(y-x)

for a function f. The covariance of Y is proportional to the convolution

C(h) = \int f(x)f(x+h) dx

If the intensity of the Poisson point process increases, the random field Y is approaches a Gaussian random field with covariance function C.

Usage

RPcoins(phi, shape, intensity, method) 

RPaverage(phi, shape, intensity, method)

Arguments

phi

object of class RMmodel; specifies the covariance function of the Poisson process; either phi or shape must be given.

shape

object of class RMmodel; specifies the function which is attached to the Poisson points; note that this is not the covariance function of the simulated random field.

intensity

positive number, intensity of the underlying Poisson point process.

method

integer. Default is the value 0 which addresses the current standard procedure. There might be further methods implemented mainly for internal purposes.

Value

RPcoins returns an object of class RMmodel

Author(s)

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

References

See Also

RFgetMethodNames RP, RPhyperplane, RPspectral, RPtbm.

Examples

RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
##                   RFoptions(seed=NA) to make them all random again
[Package RandomFields version 3.0.62 Index]