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 Teor. Veroyatnost. i Primenen.: Year: Volume: Issue: Page: Find

 Teor. Veroyatnost. i Primenen., 1962, Volume 7, Issue 4, Pages 466–469 (Mi tvp4743)

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.

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

Citation: G. I. Kalmykov, “On the Partial Ordering of One-Dimensional Markov Processes”, Teor. Veroyatnost. i Primenen., 7:4 (1962), 466–469; Theory Probab. Appl., 7:4 (1962), 456–459

Citation in format AMSBIB
\Bibitem{Kal62} \by G.~I.~Kalmykov \paper On the Partial Ordering of One-Dimensional Markov Processes \jour Teor. Veroyatnost. i Primenen. \yr 1962 \vol 7 \issue 4 \pages 466--469 \mathnet{http://mi.mathnet.ru/tvp4743} \transl \jour Theory Probab. Appl. \yr 1962 \vol 7 \issue 4 \pages 456--459 \crossref{https://doi.org/10.1137/1107043}