Literature Cited
W. Feller, “Fluctuation theory of recurrent events,” Trans. Amer. Math. Soc.,67 (1949).
W. L. Smith, “Regenerative stochastic processes,” Proc. Roy. Soc., Ser. A, 232 (1955).
M. A. Yastrebenetskii, “A class of regenerative random processes,” Izv. Akad. Nauk SSSR, Tekhnicheskaya Kibernetika, No. 4 (1969).
D. R. Cox and W. L. Smith, Renewal Theory, Methuen (1962).
P. Pyke, “Markov renewal processes: definitions and preliminary properties,” Ann. Math. Stat.,32 (1961).
I. I. Ezhov and G. I. Prizva, “Limit theorems for functionals of sums of random variables of a controlled Markov chain”, Kibernetika, No. (1969).
V. V. Rykov and M. A. Yastrebenetskii, “Renewal processes with several types of renewal points,” Abstracts of Reports of Second All-Union Conference on Statistical Methods of Control, Published by the Institute for Control Problems (IAT) of the AN SSSR, Moscow (1970).
V. S. Korolyuk and A. A. Tomusyak, “Description of operation of replacement systems with the aid of semi-Markov processes,” Kibernetika, No. 5 (1965).
S. M. Brodi, “Study of queueing systems with the aid of semi-Markov processes,” Kibernetika, No. 6 (1965).
Yu. K. Belyaev, “Linear Markov processes and their application in reliability theory problems,” Proceedings of the Sixth All-Union Conference on Probability Theory and Mathematical Statistics, Gospolitizdat, Vil'nyus (1962).
I. I. Ezhov, “An ergodic theorem for stochastic processes with semi-Markov interference,” Ukrainsk. Matem. Zh., No. 3 (1968).
I. I. Ezhov, “An ergodic theorem for Markov processes describing general queueing systems,” Kibernetika, No. 5 (1966).
G. I. Prizva, “An ergodic theorem for a class of Markov processes,” Dopovidi An UkrSSR, Ser. A, No. 8 (1968).
V. V. Baklan, “An ergodic theorem for Markov processes with discrete random interference,” Ukrainsk. Matem. Zh., No. 5 (1967).
W. L. Smith, “Asymptotic renewal theorems,” Proc. Roy. Soc. Edinb., Ser. A.64, 1–54 (1954).
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Translated from Kibernetika, No. 3, pp. 82–86, May–June, 1971.
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Rykov, V.V., Yastrebenetskii, M.A. Renewal processes with several types of renewal points. Cybern Syst Anal 7, 487–493 (1971). https://doi.org/10.1007/BF01070458
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DOI: https://doi.org/10.1007/BF01070458