On the Partial Ordering of One-Dimensional Markov Processes

Abstract

In this paper a definition of partial ordering of classes of one-dimensional Markov processes is given. Theorem 1 gives the necessary and sufficient condition for the existence of the partial order relationship between two given classes of one-dimensional Markov processes. Theorem 2 gives the sufficient condition for the existence of the partial order relationship between two given classes of Markov processes with a discrete parameter.