Asymptotic of the renewal functions for one class of semi-Markov processes (in Ukrainian) |
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| Author |
Faculty of Mechanics and Mathematics, Ivan Franko National University of Lviv, 1 Universytetska St., Lviv 290602, Ukraine
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| Abstract |
We find an asymptotics of the renewal function for semi-Markov
process with finite or countable state space without finitness condition
of mean stay time in states under the condition that the tail of
the the stagin state distribution function is a regularly varying function
with parameter $\alpha=1$.
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| Keywords |
renewal function, asymptotics, semi-Markov process, state space, mean stay time
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| DOI |
doi:10.30970/ms.3.1.107-110
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Reference |
1. Феллер В. Введение в теорию вероятностей и её приложение. Т.2. – М.: Мир, 1967. – 752с.
2. Erikson K.B. Strong renewal theorems with infinite mean // Trans. Amer. Math. Soc. 1970. V.151. No 1. P.263–291. 3. Щуренков В.М., Елейко Я.И. Предельные распределения временных средних для полумарковского процеса с конечным числом состояний // Укр. мат. журн. 1979. Т.31, № 5. С.598–603. Львiвський унiверситет, механiко-математичний факультет, Унiверситетська 1, Львiв 290602 |
| Pages |
107-110
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| Volume |
3
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| Issue |
1
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| Year |
1994
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| Journal |
Matematychni Studii
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| Full text of paper | |
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