
12
Cluster and Cox Mod el s
Until now we h ave focussed on Poisson process models, in which the points are assumed to be
independent of each other. In the next two chapters, we introduce models that allow dependence be-
tween points. Rough ly sp eaking the models in Chapter 12 have positive dependence between points
(clustering) and those in Chapte r 13 typically h ave negative dependence between points (regularity).
This chapter introduces Co x point processes and Neyman-Scott cluster processes, which are
convenient and flexible models for clustered point patterns. We explain the basic concepts and
properties of these models, an d show how to fit such ...