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International Theoretical Science Journal
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DOI 10.34229/KCA2522-9664.25.1.15
UDC 519.217
O.A. Yarova1


1 Ivan Franko National University of Lviv, Lviv, Ukraine

oksana.yarova@lnu.edu.ua, oksana.yarova@lnu.edu.ua

ASYMPTOTICS OF TRANSITIONAL PROBABILITIES
OF A SEMI-MARKOV PROCESS

Abstract. The paper considers a semi-Markov process with a nonlinear normalization factor. The asymptotics of transitional probabilities for the semi-Markov process are found. The functions of the multidimensional renewal equation are determined.

Keywords: semi-Markov process, Markov chain, renewal function, transitional probabilities.


full text

REFERENCES

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  • 2. Yarova O.A., Yeleyko Ya.I. The renewal equation in nonlinear approximation. Matematychni Studii. 2021. Vol. 56, N 1. P. 103–106. https://doi.org/10.30970/ms.56.1.103-106. .

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