# pairsat.family

##### Saturated Pairwise Interaction Point Process Family

An object describing the Saturated Pairwise Interaction family of point process models

##### Details

**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 `Saturated()`

or the one existing implementation of a model in this family,
`Geyer()`

.
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 $c$.
This model is implemented in the function `Geyer()`

.
The present class `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.
`pairsat.family`

is an object of class `"isf"`

containing a function `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)
*Stochastic Geometry: Likelihood and Computation*,
Chapman and Hall / CRC,
Monographs on Statistics and Applied Probability, number 80.
Pages 79--140.

##### See Also

`Geyer`

to create the Geyer saturation process.

`Saturated`

to create a more general saturation model.

Other families:
`inforder.family`

,
`ord.family`

,
`pairwise.family`

.

*Documentation reproduced from package spatstat, version 1.12-8, License: GPL (>= 2)*