https://github.com/cran/RandomFields
Tip revision: 51663e75fb9ba1d6cf08d8f47db96cebfe1bb458 authored by Martin Schlather on 04 December 2013, 00:00:00 UTC
version 3.0.5
version 3.0.5
Tip revision: 51663e7
RMcubic.Rd
\name{RMcubic}
\alias{RMcubic}
\title{Cubic Covariance Model}
\description{
\command{\link{RMcubic}} is a stationary isotropic covariance model
which is only valid for dimensions \eqn{d \le 3 }{d \le 3 }.
The corresponding covariance function only depends on the distance \eqn{r \ge 0}{r \ge 0} between
two points and is given by
\deqn{C(r) = (1 -7 r^(2) + 8.75 r^3 - 3.5 r^5 + 0.75 r^7) 1_{[0,1]}(r).}{C(r) = (1 -7 r^(2) + 8.75 r^3 - 3.5 r^5 + 0.75 r^7) 1_{[0,1]}(r).}
}
\usage{
RMcubic(var, scale, Aniso, proj)
}
\arguments{
\item{var,scale,Aniso,proj}{optional parameters; same meaning for any
\command{\link{RMmodel}}. If not passed, the above
covariance function remains unmodified.}
}
\details{The model is only valid for dimensions \eqn{d \le 3 }{d \le 3 }.
It is a 2 times differentiable covariance function with compact support
(cf. Chiles, J.-P. and Delfiner, P. (1999), p. 84).
}
\value{
\command{\link{RMcubic}} returns an object of class \code{\link[=RMmodel-class]{RMmodel}}
}
\references{
\itemize{
\item Chiles, J.-P. and Delfiner, P. (1999)
\emph{Geostatistics. Modeling Spatial Uncertainty.}
New York: Wiley.
}
}
\author{Martin Schlather, \email{schlather@math.uni-mannheim.de}
}
\seealso{
\command{\link{RMmodel}},
\command{\link{RFsimulate}},
\command{\link{RFfit}}.
}
\keyword{spatial}
\keyword{models}
\examples{
set.seed(0)
model <- RMcubic()
x <- seq(0, 10, if (interactive()) 0.02 else 1)
plot(model, ylim=c(0,1))
plot(RFsimulate(model, x=x))
}