pairsat.family.Rd
\name{pairsat.family}
\alias{pairsat.family}
\title{Saturated Pairwise Interaction Point Process Family}
\description{
An object describing the Saturated Pairwise Interaction
family of point process models
}
\details{
\bold{Advanced Use Only!}
This structure would not normally be touched by
the user. It describes the ``saturated pairwise interaction''
family of point process models.
If you need to create a specific interaction model for use in
spatial pattern analysis, use the function \code{\link{Saturated}()}
or the two existing implementations of models in this family,
\code{\link{Geyer}()} and \code{\link{SatPiece}()}.
Geyer (1999) introduced the ``saturation process'', a modification of the
Strauss process in which the total contribution
to the potential from each point (from its pairwise interaction with all
other points) is trimmed to a maximum value \eqn{c}.
This model is implemented in the function \code{\link{Geyer}()}.
The present class \code{pairsat.family} is the
extension of this saturation idea to all pairwise interactions.
Note that the resulting models are no longer pairwise interaction
processes - they have interactions of infinite order.
\code{pairsat.family} is an object of class \code{"isf"}
containing a function \code{pairwise$eval} for
evaluating the sufficient statistics of any saturated pairwise interaction
point process model in which the original pair potentials
take an exponential family form.
}
\references{
Geyer, C.J. (1999)
Likelihood Inference for Spatial Point Processes.
Chapter 3 in
O.E. Barndorff-Nielsen, W.S. Kendall and M.N.M. Van Lieshout (eds)
\emph{Stochastic Geometry: Likelihood and Computation},
Chapman and Hall / CRC,
Monographs on Statistics and Applied Probability, number 80.
Pages 79--140.
}
\seealso{
\code{\link{Geyer}} to create the Geyer saturation process.
\code{\link{SatPiece}} to create a saturated process with
piecewise constant pair potential.
\code{\link{Saturated}} to create a more general saturation model.
Other families:
\code{\link{inforder.family}},
\code{\link{ord.family}},
\code{\link{pairwise.family}}.
}
\author{\adrian
and \rolf
}
\keyword{spatial}
\keyword{models}