Comparison of Inhomogeneous Poisson Processes

This note illustrates the use of various partial orderings for point processes by comparing inhomogeneous Poisson processes, and studies the relationships among these orderings mainly in the ease of inhomogeneous Poisson processes. Whitt has detailed several definitions of partial orderings which have been applied mainly to renewal processes (see, e. g., Whitt 14] and Miller4]) and semi-Markov proeesse (see, e. g., Sonderman 10]).