swh:1:snp:e520bf41b0e99213acde680a9d87fadac1aee079
Tip revision: bf048cf5b6fe6ebdb3ae8163d45656c75c6243e9 authored by Martin Schlather on 18 February 2019, 12:44:05 UTC
version 3.3.1
version 3.3.1
Tip revision: bf048cf
RMeaxxa.Rd
\name{RMeaxxa}
\alias{RMeaxxa}
\alias{RMetaxxa}
\title{Special models for rotation like fields}
\description{
\command{RMeaxxa} and \command{RMetaxxa} define the auxiliary functions
\deqn{f(h) = h^\top A A^\top h + diag(E)}{C(h) = h^T A A^T h + diag(E)}
and
\deqn{f(h) = h^\top A R R A^\top h + diag(E)}{C(h) = h^T A R R^R A^T h
+ diag(E),}
respectively.
}
\usage{
RMeaxxa(E, A)
RMetaxxa(E, A, alpha)
}
\arguments{
\item{E}{m-variate vector of positive values}
\item{A}{\eqn{m\times k}{m x k} matrix}
\item{alpha}{angle for the rotation matrix \eqn{R}}
}
\details{
\command{\link{RMeaxxa}} is defined in space and returns an m-variate model.
\command{\link{RMetaxxa}} is a space-time model with two spatial dimensions.
The matrix R is a rotation matrix with angle \eqn{\beta t} where
\eqn{t} is the time component.
}
\value{
\command{\link{RMeaxxa}} and \command{\link{RMetaxxa}} return an
object of class \code{\link[=RMmodel-class]{RMmodel}}.
}
\references{
\itemize{
\item Schlather, M. (2010)
On some covariance models based on normal scale mixtures.
\emph{Bernoulli}, \bold{16}, 780-797.
}
}
\me
\seealso{
\command{\link{RMmodel}},
\link{S10}
}
\keyword{spatial}
\keyword{models}
\examples{\dontshow{StartExample()}
# see S10
\dontshow{FinalizeExample()}}