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CovarianceSELocalized.Rd
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CovarianceSELocalized.Rd
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\name{CovarianceSELocalized}
\alias{CovarianceSELocalized}
\title{Localized Squared-exponential Covariance}
\arguments{
\item{id}{(character) A string to identify this
covariance object.}
\item{ell}{(numeric) A characteristic horizontal scale
for features in functions being modeled.}
\item{sigma.f}{(numeric) A characteristic vertical scale
for features in functions being modeled.}
\item{X.L}{(numeric) The left boundary of the localized
region.}
\item{X.R}{(numeric) The right boundary of the localized
region.}
\item{ell.bounds}{(numeric) The range of values which
\code{ell} might assume.}
\item{sigma.f.bounds}{(numeric) The range of values which
\code{sigma.f} might assume.}
\item{X.L.bounds}{(numeric) The range of values which
\code{X.L} might assume.}
\item{X.R.bounds}{(numeric) The range of values which
\code{X.R} might assume.}
\item{...}{Not used.}
}
\description{
A squared-exponential covariance which is limited in
spatial extent. In addition to the two usual parameters
(i.e., the horizontal and vertical lengthscales), there
are two \dQuote{boundary} parameters, \code{X.L} and
\code{X.R}. \code{sigma.f} transitions smoothly to zero
outside the region between \code{X.L} and \code{X.R}.
The transition lengthscale is \code{ell} (if it were any
smaller, it could introduce sub-\code{ell} features).
}
\section{Covariance Parameters}{
This section lists the fit parameters corresponding to
this type of Covariance. Any parameters marked as
\dQuote{(Scale parameter)} will be optimized in
log-space, consistent with the Jeffreys prior.
\describe{ \item{ell}{(Scale parameter) The horizontal
feature lengthscale.} \item{sigma.f}{(Scale parameter)
The vertical feature lengthscale.} \item{X.L}{The left
boundary of the localized region.} \item{X.R}{The right
boundary of the localized region.} }
}