RandomFields (version 3.0.35)

GaussianFields: Methods for Gaussian Random Fields

Description

Here, all the methods (models) for simulating Gaussian random fields are listed

Implemented simulation methods

ll{ RPcirculant circulant embedding RPcutoff variant of circulant embedding RPcoins random coin / shot noise RPgauss generic model that chooses automatically among the specific methods RPhyperplane hyperplane tessellation RPintrinsic variant of circulant embedding RPnugget (anisotropic) nugget effects RPsequential sequential method RPspecific model specific methods (very advanced) RPspectral spectral method RPtbm turning bands }

References

• Chiles, J.-P. and Delfiner, P. (1999)Geostatistics. Modeling Spatial Uncertainty.New York: Wiley. % \item Gneiting, T. and Schlather, M. (2004) % Statistical modeling with covariance functions. % \emph{In preparation.}
• Schlather, M. (1999)An introduction to positive definite functions and to unconditional simulation of random fields.Technical report ST 99-10, Dept. of Maths and Statistics, Lancaster University.
• Schlather, M. (2010) On some covariance models based on normal scale mixtures.Bernoulli,16, 780-797.
• Schlather, M. (2011) Construction of covariance functions and unconditional simulation of random fields. In Porcu, E., Montero, J.M. and Schlather, M.,Space-Time Processes and Challenges Related to Environmental Problems.New York: Springer. % \item Schlather, M. (2002) Models for stationary max-stable % random fields. \emph{Extremes} \bold{5}, 33-44.
• Yaglom, A.M. (1987)Correlation Theory of Stationary and Related Random Functions I, Basic Results.New York: Springer.
• Wackernagel, H. (2003)Multivariate Geostatistics.Berlin: Springer, 3nd edition.

See Also

RP, Other models, RMmodel, RFsimulateAdvanced

Examples

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

x <- seq(0, 10, 0.01)
z <- RFsimulate(RMexp(), x)
RFgetModelInfo(RFsimulate, level=0, which="internal")
# i.e., circulant embedding has been chosen
FinalizeExample()