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Short Communications

On the Partial Ordering of One-Dimensional Markov Processes

G. I. Kalmykov

Moscow

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.

Received: 30.12.1960

 English version: Theory of Probability and its Applications, 1962, 7:4, 456–459