This is a preview of subscription content, log in via an institution to check access.
Literature cited
R. Pyke, “Markov renewal processes: definitions and preliminary properties,” Ann. Math. Stat.,32, No. 4 (1961).
I. I. Ezhov and V. S. Korolyuk, “Semi-Markov processes and their application, “Kibernetika,3, No. 5 (1967).
A. F. Turbin, “Application of perturbation theory of linear operators to the solution of some problems connected with Markov chains and semi-Markov processes, “TeoriyaVeroyatnostei i Matematicheskaya Statistika,8, No. 6 (1971).
B. V. Gnedenko and I. N. Kovalenko, Introduction to the Theory of Mass Queuing [in Russian], Nauka, Moscow (1966).
S. G. Krein, Linear Differential Equations in a Banach Space [in Russian], Nauka, Moscow (1967).
R. A. Howard, “System analysis of semi-Markov processes,” IEEE Trans. Military Electronics,18, No. 2 (1964).
W. Feller, “On semi-Markov processes,” Proc. National Acad. Sci. USA,51, No. 4 (1964).
V. S. Korolyuk, “On the asymptotic behavior of the sojourn time of a semi-Markov process in a subset of states,” Ukrainsk. Matem. Zh.,21, No. 6 (1969).
V. S. Korolyuk, “The sojourn time of a semi-Markov process in a fixed subset of states,” Ukrainsk. Matem. Zh.,17, No. 3 (1965).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 2, pp. 234–240, March–April, 1972.
Rights and permissions
About this article
Cite this article
Korolyuk, V.S., Turbin, A.F. On one method of proving limit theorems for certain functionals of semi-Markov processes. Ukr Math J 24, 191–196 (1972). https://doi.org/10.1007/BF01086812
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01086812