1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
|
\name{RMgennsst}
\alias{RMgennsst}
\title{Non-Separable Space-Time model}
\description{
\command{\link{RMgennsst}} is a univariate stationary spaceisotropic
covariance model on \eqn{R^d}
whose corresponding covariance is given by
\deqn{C(h,u)= \phi( sqrt(h^\top \psi^{-1}(u) h)) / \sqrt(det(psi))}
}
\usage{
RMgennsst(phi, psi, dim_u, var, scale, Aniso, proj)
}
\arguments{
\item{phi}{is a normal mixture \command{\link{RMmodel}}, cf.\cr
\code{RFgetModelNames(monotone="normal mixture")}.
}
\item{psi}{is a \eqn{d}-variate variogram model
\command{\link{RMmodel}}.}
\item{dim_u}{the dimension of the component \code{u}}
\item{var,scale,Aniso,proj}{optional arguments; same meaning for any
\command{\link{RMmodel}}. If not passed, the above
covariance function remains unmodified.}
}
\details{
This model is used for space-time modelling where the spatial
component is isotropic.
}
\value{
\command{\link{RMgennsst}} returns an object of class \code{\link[=RMmodel-class]{RMmodel}}.
}
\references{
\itemize{
% \item Zastavnyi, V. and Porcu, E. (2011)
% Caracterization theorems for the Gneiting class space-time
% covariances.
% \emph{Bernoulli}, \bold{??}.
\item Schlather, M. (2010)
On some covariance models based on normal scale mixtures.
\emph{Bernoulli}, \bold{16}, 780-797.
}
}
\me
\seealso{
\command{\link{RMnsst}},
\command{\link{RMmodel}},
\command{\link{RFsimulate}},
\command{\link{RFfit}}.
}
\keyword{spatial}
\keyword{models}
\examples{\dontshow{StartExample()}
% to do
\dontshow{
RFoptions(seed=0) ## *ANY* simulation will have the random seed 0; set
## RFoptions(seed=NA) to make them all random again
% RMgennsst( RMwhittle(nu=4, s=3), RMconstant(diag(3)))
}
\dontshow{FinalizeExample()}}
|
