This is a preview of subscription content, log in via an institution to check access.
Literature cited
V. S. Korolyuk and A. F. Turbin, The Mathematical Foundations of Phase Extension of Complex Systems [in Russian], Naukova Dumka, Kiev (1978).
V. S. Korolyuk an A. V. Svishchuk, “The central limit theorem for semi-Markov random evolutions,” Ukr. Mat. Zh.,38, No. 3, 300–304 (1986).
V. V. Korolyuk, “The central limit theorem for switching processes,” in: Proc. Fourth Internat. Vilnius Conference on Probability Theory and Mathematical Statistics, Abstract of Communications (Vilnius, 1985), Vol. 2, Institute of Mathematics and Cybernetics, the Academy of Sciences of the Lithuanian SSR, Vilnius (1985), pp. 60–61.
V. S. Korolyuk and V. V. Korolyuk, “The central limit theorem for stationary processes with independent increments with semi-Markov switchings,” Ukr. Mat. Zh.,35, No. 6, 760–763 (1983).
Author information
Authors and Affiliations
Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 39, No. 3, pp. 316–321, May–June, 1987.
Rights and permissions
About this article
Cite this article
Korolyuk, V.S., Svishchuk, A.V. & Korolyuk, V.V. Central limit theorem in the phase extension scheme for semi-Markov random evolutions. Ukr Math J 39, 243–248 (1987). https://doi.org/10.1007/BF01057226
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01057226