https://github.com/cran/RandomFields
Tip revision: fab3d29ef16569604858ee648b9e1f6f7d4a7c96 authored by Martin Schlather on 21 September 2014, 00:00:00 UTC
version 3.0.42
version 3.0.42
Tip revision: fab3d29
RMstrokorb.Rd
\name{Strokorb's Functions}
\alias{RMstrokorb}
\alias{RMstrokorbMono}
\alias{RMstrokorbBall}
\alias{RMstrokorbPoly}
\alias{RMm2r}
\alias{RMm3b}
\alias{RMmps}
\title{Tail correlation function of the Brown-Resnick process}
\description{
The models define various
shape functions for max-stable processes for a given
tail correlation function
}
\usage{
RMm2r(phi)
RMm3b(phi)
RMmps(phi)
}
\arguments{
\item{phi}{a model for a tail correlation function belonging to the
Gneiting class \eqn{H_d}}
}
\details{
\command{RMm2r} used with \command{\link{RPsmith}} defines
a monotone shape function that corresponds to a tail correlation
function belonging to Gneiting's class \eqn{H_d}. Currently, the
function is implemented for dimensions 1 and 3.
Called as such it returns the corresponding monotone function.
\command{RMm3b} used with \command{\link{RPsmith}} defines
balls with random \emph{radius} that corresponds to a tail correlation
function belonging to Gneiting's class \eqn{H_d}. Currently, the
function is implemented for dimensions 1 and 3.
(Note that in Strokorb et al. (2014) the density function for twice
the radius is considered.)
Called as such it returns the corresponding density function for the
radius of the balls.
\command{RMmps} used with \command{\link{RPsmith}} defines
random hyperplane polygons
that corresponds a tail correlaton
function belonging to Gneiting's class \eqn{H_d}.
It currently only allows for
\code{\link{RMbrownresnick}(\link{RMfbm}(alpha=1))} and dimension 2.
Called as such it returns the tcf defined by the submodel -- this
definition may change in future.
}
\value{
object of class \code{\link[=RMmodel-class]{RMmodel}}
}
\references{
\itemize{
\item Strokorb, K. (2013) \emph{Properties of the Extremal Coefficient
Functions.} Univ. Goettingen. PhD thesis.
\item
Strokorb, K., Ballani, F. and Schlather, M. (2014)
In Preparation.
}
}
\seealso{
\command{\link{RFsimulate}},
\command{\link{RMmodel}}.
}
\author{Martin Schlather, \email{schlather@math.uni-mannheim.de}
\url{http://ms.math.uni-mannheim.de/de/publications/software}
}
\keyword{spatial}
\examples{
RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
## RFoptions(seed=NA) to make them all random again
model <- RMbrownresnick(RMfbm(alpha=1.5, s=0.2))
plot(RMm2r(model))
x <- seq(0, 10, if (interactive()) 0.005 else 1)
z <- RFsimulate(RPsmith(RMm2r(model), xi=0), x)
plot(z, type="p", pch=20)
\dontshow{FinalizeExample()}
}