Stationary Point Processes and Random Measures

Abstract

Stationary point processes play an exceptionally important role in applications and lead also to a rich theory. In this chapter we develop the basic properties of stationary point processes and indicate some of their applications. Some parts of the theory are minor variants of the corresponding theory of stationary continuous processes, others can be treated as special cases of more general theories such as concern processes with stationary increments or stationary random distributions, while still other aspects are peculiar to point processes and random measures.