# pairsat.family

0th

Percentile

##### Saturated Pairwise Interaction Point Process Family

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

Keywords
models, spatial
##### 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.

pairwise.family, Geyer