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December, 1961 Markov Renewal Processes: Definitions and Preliminary Properties
Ronald Pyke
Ann. Math. Statist. 32(4): 1231-1242 (December, 1961). DOI: 10.1214/aoms/1177704863


This paper contains the definition of and some preliminary results on Markov Renewal processes and Semi-Markov processes. The close relationship between these two types of processes is described. The concept of regularity is introduced and characterized. A classification of the states of a Markov Renewal process is described and studied.


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Ronald Pyke. "Markov Renewal Processes: Definitions and Preliminary Properties." Ann. Math. Statist. 32 (4) 1231 - 1242, December, 1961.


Published: December, 1961
First available in Project Euclid: 27 April 2007

zbMATH: 0267.60089
MathSciNet: MR133888
Digital Object Identifier: 10.1214/aoms/1177704863

Rights: Copyright © 1961 Institute of Mathematical Statistics

Vol.32 • No. 4 • December, 1961
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