2019
Том 71
№ 11

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Asymptotic inequalities for the distribution of the time of stay of a semi-Markov process in an expanding set of states

Pogorui A. О.

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Abstract

We establish asymptotic estimates for the behavior of the distribution of the time of the first hit of an infinitely remote level by a semi-Markov process on a semiaxis of integer numbers.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 11, pp 1757-1762.

Citation Example: Pogorui A. О. Asymptotic inequalities for the distribution of the time of stay of a semi-Markov process in an expanding set of states // Ukr. Mat. Zh. - 1994. - 46, № 11. - pp. 1586–1590.

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