ABSTRACT
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16.1.1 Introduction
A spatial point process is a stochastic process each of whose realizations consists of a finite or countably infinite set of points in the plane. This chapter sets out the mathematical theory of such processes. After some motivation, several ways to characterize the distribution of a point process are described in Section 16.1.2. The important notions of Campbell and moment measures are introduced in Section 16.1.3, and generalized to higher orders in Section 16.1.4. Interior and exterior conditioning by means of Palm theory form the topic of Section 16.1.5. The section closes with a discussion of finite point processes and local specifications (Sections 16.1.6 to 16.1.7).
