Investigation of the asymptotics of a renewal matrix
A semi-Markov process with finite state space and continuous time without finiteness condition of a mean stay time of this process in every fixed state is considered. The asymptotic behaviour of the renewal matrix at infinity is established under condition that the distribution tail of the stay time of...
Збережено в:
| Видавець: | Інститут математики НАН України |
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| Дата: | 2006 |
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2006
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/4439 |
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| Цитувати: | Investigation of the asymptotics of a renewal matrix / N. V. Buhrii // Theory of Stochastic Processes. — 2006. — Т. 12 (28), № 1-2. — С. 33–37. — Бібліогр.: 8 назв.— англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | A semi-Markov process with finite state space and continuous time without finiteness
condition of a mean stay time of this process in every fixed state is considered. The asymptotic behaviour of the renewal matrix at infinity is established under condition that the distribution tail of the stay time of the semi-Markov process in every fixed state is a regularly varying function at infinity with exponent −1. |
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