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

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.

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Date:1994
Main Authors: Pogorui, A. О., Погоруй, А. А.
Format: Article
Language:Russian
English
Published: Institute of Mathematics, NAS of Ukraine 1994
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5601
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Pogorui, A. О.
Погоруй, А. А.
Погоруй, А. А.
author_facet Pogorui, A. О.
Погоруй, А. А.
Погоруй, А. А.
author_sort Pogorui, A. О.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-19T09:14:13Z
description 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.
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spelling umjimathkievua-article-56012020-03-19T09:14:13Z Asymptotic inequalities for the distribution of the time of stay of a semi-Markov process in an expanding set of states Асимптотические неравенства для распределения времени пребывания полумарковского процесса в расширяющемся множестве состояний Pogorui, A. О. Погоруй, А. А. Погоруй, А. А. 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. Одержані асимптотичні оцінки поведінки розподілу функціоналу типу момента досягнення рівня, що нескінченно віддаляється, півмарківським процесом на цілочисловій півпрямій. Institute of Mathematics, NAS of Ukraine 1994-11-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5601 Ukrains’kyi Matematychnyi Zhurnal; Vol. 46 No. 11 (1994); 1586–1590 Український математичний журнал; Том 46 № 11 (1994); 1586–1590 1027-3190 rus en https://umj.imath.kiev.ua/index.php/umj/article/view/5601/7887 https://umj.imath.kiev.ua/index.php/umj/article/view/5601/7888 Copyright (c) 1994 Pogorui A. О.
spellingShingle Pogorui, A. О.
Погоруй, А. А.
Погоруй, А. А.
Asymptotic inequalities for the distribution of the time of stay of a semi-Markov process in an expanding set of states
title Asymptotic inequalities for the distribution of the time of stay of a semi-Markov process in an expanding set of states
title_alt Асимптотические неравенства для распределения времени пребывания полумарковского процесса в расширяющемся множестве состояний
title_full Asymptotic inequalities for the distribution of the time of stay of a semi-Markov process in an expanding set of states
title_fullStr Asymptotic inequalities for the distribution of the time of stay of a semi-Markov process in an expanding set of states
title_full_unstemmed Asymptotic inequalities for the distribution of the time of stay of a semi-Markov process in an expanding set of states
title_short Asymptotic inequalities for the distribution of the time of stay of a semi-Markov process in an expanding set of states
title_sort asymptotic inequalities for the distribution of the time of stay of a semi-markov process in an expanding set of states
url https://umj.imath.kiev.ua/index.php/umj/article/view/5601
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