Poisson Process

Abstract

This chapter started with two formal definitions of a homogeneous Poisson process and a nonhomogeneous Poisson process, and the typical example of the arrivals of the customers. Some additional properties of a homogeneous Poisson process including partitioning a homogeneous Poisson process, superposition of a homogeneous Poisson process, determining the expected value of the number of events in an interval as a Poisson random variable approximation to a binomial random variable, the joint probability density function of the arrival times, and compound Poisson process were introduced. Some examples and problems including those related to the time of the earthquakes and the systems with different types of system failures were also presented.