swh:1:snp:90d88b6f05096f57dd0a8e566e80f41cbfef6824
Tip revision: b864f05b2275397ef7fb2f44bd6abb67a140a5c8 authored by Martin Schlather on 04 July 2012, 00:00:00 UTC
version 2.0.56
version 2.0.56
Tip revision: b864f05
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.
Starting with version 2.0, it also allows for the simulation
of random fields that are non-stationary or multivariate or
sophisticated space-time fields.
fitvario allows for multivariate models and mixed effect models.
\bold{There are some changings in the definitions and in the output,
see help("changings")}
}
%\section{Installation}{
% If like to have Havard Rue's GMRF available,
% please follow the instruction in \link{RFMethods}.
%}
\details{
The following random fields and related functionalities are
provided by the package.
\enumerate{
\item stationary and isotropic Gaussian random fields\cr
\itemize{
\item \command{\link{CondSimu}} : conditional simulation
\item \command{\link{CovarianceFct}},
\link{sophisticated} models: covariance functions and
variogram models
\item \command{\link{EmpiricalVariogram}} : empirical variogram
\item \command{\link{GaussRF}} : simulation of Gaussian random
fields; nice examples to get familiar with the
simulation features of the package;
\item \command{\link{Kriging}} : simple and ordinary kriging
\item \command{\link{fitvario}} : variogram/covariance function fit
by least squares, maximum likelihood and cross validation
techniques
\item \command{\link{PrintMethodList}} : list of implemented
simulation methods
\item \command{\link{ShowModels}} : interactive, graphical choice of
models -- currently not available.
Use ShowModels in version 1.3.x
\item \command{\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 \command{\link{CovarianceFct}} : covariance models for
extremal Gaussian random fields
\item \command{\link{MaxStableRF}} : simulation of max-stable
random fields
\bold{Note: Simulation algorithm for Brown-Resnick processes will
come up soon.}
}
\item stationary and isotropic Poisson random fields
(not implemented yet)\cr
% \itemize{
% \item \code{%\link{
% PoissonRF%}
% } : simulation of Poisson random fields
% }
}
Data and example code:
\itemize{
\item \code{\link{soil}} : soil physical data
\item \code{\link{papers}} : code used in the papers published by
the author
\item \code{\link{weather}} : UWME weather data
}
Functions used in diverse simulation methods:
\itemize{
\item \command{\link{DeleteRegister}} : deleting internal registers
\item \command{\link{RFparameters}} : control parameters (advanced settings)
}
Functions of general purpose:
\itemize{
% \item \command{\link{eval.parameters}} : provides an interactive menu
\item \command{\link{fractal.dim}} : estimation of the fractal dimension
\item \command{\link{hurst}} : estimation of the Hurst parameter
\item \command{\link{Print}} : nice print function
\item \command{\link{regression}} : interactive regression plot
\item \command{\link{Locator}}, \command{\link{Readline}} :
\command{\link[graphics]{locator}} and \command{\link[base]{readline}},
respectively, with storage and replay functionality
\item \command{\link{sleep.milli}} : sets the process into sleeping status
}
In the beta version, the following functionalities are currently
not available:
\itemize{
\item \command{\link{ShowModels}}
\item numerical evaluation of the covariance function in tbm2
\item Harvard Rue's Markov fields
}
}
\author{Martin Schlather, \email{martin.schlather@math.uni-goettingen.de}
\url{http://www.stochastik.math.uni-goettingen.de/~schlather};
}
\references{
This package is announced in and can be cited by:
Schlather, M. (2001) Simulation of stationary and isotropic random
fields. \emph{R-News} \bold{1} (2), 18-20.
}
\section{Acknowledgement}{
Many thanks to
\itemize{
% \item Marco Oesting
\item
Peter Menck implemented the multivariate circulant embedding
for version 2.0.
\item
Yindeng Jiang \email{jiangyindeng@gmail.com} implemented the
circulant embedding methods \sQuote{cutoff} and \sQuote{intrinsic}
in 2004 for the versions 1.2.
\item
Martin Maechler, Paulo Ribeiro, and Tilmann Gneiting
were proof-reading parts of the code and the help text for the versions
1.0.
}
}
\section{Financial support}{
\itemize{
\item
V1.0 has been financially supported by
the German Federal Ministry of Research and Technology
(BMFT) grant PT BEO 51-0339476C during 2000-03.
\item
V1.0 has been financially supported by the EU TMR network
ERB-FMRX-CT96-0095 on
``Computational and statistical methods for the analysis of spatial
data'' in 1999.
}
}
\keyword{spatial}