ABSTRACT
The Poisson1 process plays a special role among continuous time processes with discrete state space. It is used as a model for experiments where events of interest occur at independent random time points with constant average rate. For instance, the number of telephone calls, visits to web pages, vehicles passing an intersection in a road network with light traffic, car accidents, emissions from a radioactive isotope can be modeled by Poisson processes, provided conditions are stationary and there is no interaction between events. The Poisson process is the simplest example of a stationary point process.
