
9
Poisson Models
Part III deals with statistical modelling and inference for point pattern data, starting in this chapter
with Poisson point process models.
9.1 Introduction
Poisson point processes w ere introduced briefly in Chapter 5. In this chapter we show how to
use them as statistical mode ls for point pattern data. We show how to formulate a Poisson model
appropriate to the data, fit the model to the data, and interpret the results. Valid ation of a fitted
model is discussed in chapters 10 and 11 .
The key property of a Poisson process is that the random po ints ar e independent of each other.
This property greatly simplifies the statistical an a