RandomFields: RPcoin – R documentation

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RPcoin

Random coin method

Description

The random coin method (or dilution method) is a 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 approaches a Gaussian random field with covariance function C.

Usage

RPcoins(phi, shape, boxcox, intensity, method) 

RPaverage(phi, shape, boxcox, 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.
`boxcox`	the one or two parameters of the box cox transformation. If not given, the globally defined parameters are used. See `RFboxcox` for details.
`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, https://www.wim.uni-mannheim.de/schlather/

References

Lantuejoul, C. (2002) Geostatistical Simulation: Models and Algorithms. Springer.

Examples

RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
##                   RFoptions(seed=NA) to make them all random again

RandomFields

Simulation and Analysis of Random Fields

v3.3.10

GPL (>= 3)

Authors

Martin Schlather [aut, cre], Alexander Malinowski [aut], Marco Oesting [aut], Daphne Boecker [aut], Kirstin Strokorb [aut], Sebastian Engelke [aut], Johannes Martini [aut], Felix Ballani [aut], Olga Moreva [aut], Jonas Auel[ctr], Peter Menck [ctr], Sebastian Gross [ctr], Ulrike Ober [ctb], Paulo Ribeiro [ctb], Brian D. Ripley [ctb], Richard Singleton [ctb], Ben Pfaff [ctb], R Core Team [ctb]

Initial release