https://github.com/cran/RandomFields
Tip revision: f5e4e9ee01c1569e39dffdd0295f7a2131c83516 authored by Martin Schlather on 13 January 2015, 00:00:00 UTC
version 3.0.55
version 3.0.55
Tip revision: f5e4e9e
RMmodelsTailcorrelation.Rd
\name{Tail Correlation Funtioncs}
\alias{tail correlation functions}
\title{Covariance models valid for max-stable random fields}
\description{
This page summarizes the models that can be use
for tail correlation functions
}
\details{
The following models are available
\bold{Completely monotone function allowing for arbitray scale}
\tabular{ll}{
\command{\link{RMbcw}} \tab Model bridging stationary and
intrinsically stationary processes for \code{alpha <= 1}
and \code{beta < 0}\cr
\command{\link{RMdagum}} \tab Dagum model with \eqn{\beta < \gamma}
and \eqn{\gamma \le 1}\cr
\command{\link{RMexp}} \tab exponential model \cr
\command{\link{RMgencauchy}} \tab generalized Cauchy family with
\eqn{\alpha \le 1} (and arbitrary \eqn{\beta> 0})\cr
\command{\link{RMmatern}} \tab Whittle-Matern model with
\eqn{\nu \le 1/2}\cr
%multiquadric todo
%sine power todo
\command{\link{RMstable}} \tab symmetric stable family or powered
exponential model with \eqn{\alpha \le 1}\cr
\command{\link{RMwhittle}} \tab Whittle-Matern model, alternative
parametrization with \eqn{\nu \le 1/2}\cr
}
\bold{Other isotropic models with arbitray scale}
\tabular{ll}{
\command{\link{RMnugget}} \tab nugget effect model \cr
}
\bold{Compactly supported covariance functions}
\tabular{ll}{
\command{\link{RMaskey}} \tab Askey's model\cr
\command{\link{RMcircular}} \tab circular model\cr
\command{\link{RMconstant}}\tab identically constant \cr
\command{\link{RMcubic}} \tab cubic model\cr
\command{\link{RMgengneiting}} \tab Wendland-Gneiting model;
differentiable models with compact support \cr
\command{\link{RMgneiting}} \tab differentiable model with compact
support \cr
\command{\link{RMspheric}} \tab spherical model \cr
}
\bold{Anisotropic models}
\tabular{ll}{
none up to now.
}
\bold{Basic Operators}
\tabular{ll}{
\command{\link{RMmult}}, \code{*} \tab product of covariance models \cr
\command{\link{RMplus}}, \code{+} \tab sum of covariance models or variograms\cr
}
\bold{Further Operators}
\tabular{ll}{
\command{\link{RMbernoulli}} \tab correlation of binary fields\cr
\command{\link{RMbrownresnick}}\tab tcf of a \link{Brown-Resnick} process\cr
\command{\link{RMschlather}}\tab tcf of a
\link[=RMschlather]{Schlather} process \cr
% \command{\link{}}\tab \cr
}
\bold{See \link{RMmodels} for cartesian models.}
}
\author{
Martin Schlather, \email{schlather@math.uni-mannheim.de}
\url{http://ms.math.uni-mannheim.de/de/publications/software}
}
\seealso{
\link{coordinate systems},
\command{\link{RMmodels}},
\command{\link{RMtrafo}}
}
\keyword{spatial}
\keyword{models}
\examples{
% library(RandomFields, lib="~/TMP")
RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
## RFoptions(seed=NA) to make them all random again
RFgetModelNames(type="tail")
## an example of a simple model
model <- RMexp(var=1.6, scale=0.5) + RMnugget(var=0) #exponential + nugget
plot(model)
\dontshow{FinalizeExample()}
}