RandomFields.Rd
\name{RandomFields}
\alias{RandomFields}
\title{Simulation and Analysis of Random Fields}
\description{
The package \code{RandomFields} allows for simulating various kinds
of random fields, including anisotropic
processes. Furthermore, algorithms for
conditional simulation and simulation of
max-stable random fields are provided.

Additionally, the package includes tools for analysing spatial data:
Hurst parameter, fractal dimension, empirical variogram,
interactive fitting of parameters, LSQ and MLE estimation of parameters.
Basic kriging procedures are also provided.

Further extensions of the package are planned.
}
\details{
The following random fields and related functionalities are
provided by the package.
\enumerate{
\item stationary and isotropic Gaussian random fields\cr
\itemize{
\item \code{\link{CovarianceFct}} :  covariance functions or
variogram models
\item \code{\link{GaussRF}} : simulation of Gaussian random
fields; nice examples to get familiar with the
simulation features of the package
\item \code{\link{Kriging}} : simple and ordinary kriging
\item \code{\link{fitvario}} : variogram/covariance function fit
by least squares, maximum likelihood and cross validation
techniques
\item \code{\link{PrintMethodList}} : list of implemented
simulation methods
\item \code{\link{ShowModels}} : interactive, graphical choice of
models
\item \code{\link{soil}} : Soil physical and chemical data;
the \code{example} gives a simple geostatistical analysis using
features of the package
}
\item stationary (and isotropic) max-stable random fields\cr
\itemize{
\item \code{\link{CovarianceFct}} : covariance models for
extremal Gaussian random fields
\item \code{\link{MaxStableRF}} : simulation of max-stable
random fields
}

\item stationary and isotropic Poisson random fields
(not implemented yet)\cr
%    \itemize{
%	PoissonRF%}
%      } : simulation of Poisson random fields
%    }
}

Functions used in diverse simulation methods:
\itemize{
\item \code{\link{DeleteRegister}} : deleting internal registers
}

Functions of general purpose:
\itemize{
\item \code{\link{fractal.dim}} : estimation of the fractal dimension
\item \code{\link{hurst}} : estimation of the Hurst parameter
\item \code{\link{regression}} : interactive regression plot
respectively, with storage and replay functionality
}

}
\note{
Version 1.1.21 : Default value of
\code{RFparameters()\$Storing} is now \code{FALSE}.
}
\author{Martin Schlather, \email{schlath@hsu-hh.de}
\url{http://www.unibw-hamburg.de/WWEB/math/schlath/schlather.html};

Yindeng Jiang \email{jiangyindeng@gmail.com} (circulant embedding
methods \sQuote{cutoff} and \sQuote{intrinsic})
}
\references{
This package is announced in:

Schlather, M. (2001) Simulation of stationary and isotropic random
fields. \emph{R-News} \bold{1} (2), 18-20.

Schlather, M. (2004)
Simulation of random fields and applications. \emph{In preparation.}
}
\section{Acknowledgement}{
Many thanks to Martin Maechler, Paulo Ribeiro, and Tilmann Gneiting
for proof-reading parts of the code and the help text for V1.0 of
this package.

The coding of V1.0 has been supported by the EU TMR network
ERB-FMRX-CT96-0095 on
Computational and statistical methods for the analysis of spatial
data'' in 1999,
and by the German Federal Ministry of Research and Technology
(BMFT) grant PT BEO 51-0339476C during 2000-03.
}
\keyword{spatial}