Abstract
We obtain chains of equations that relate the sojourn times of a semi-Markov process in a set of states to its Markov renewal function. We use the mathematical apparatus of the theory of Markov and semi-Markov processes.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 12, pp. 1684 – 1690, December, 2004.
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Bondarenko, H.I. On Some Consequences of the Equation for the Markov Renewal Function of a Semi-Markov Process. Ukr Math J 56, 1989–1997 (2004). https://doi.org/10.1007/s11253-005-0163-1
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DOI: https://doi.org/10.1007/s11253-005-0163-1