Limiting distribution of time averages for the additive functionals preset on the semi-Markovian process
We consider an additive functional $\zeta_t$ on a continuous time semi-Markov process with an arbitrary state space. We study the existence of the limiting distribution of $\zeta_t/t$ without the condition of the finiteness of the mean occupation time of a fixed state.
Збережено в:
| Дата: | 1990 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | Російська |
| Опубліковано: |
Institute of Mathematics, NAS of Ukraine
1990
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| Онлайн доступ: | https://umj.imath.kiev.ua/index.php/umj/article/view/8850 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
| Завантажити файл: |  |
Репозитарії
Ukrains’kyi Matematychnyi Zhurnal| Резюме: | We consider an additive functional $\zeta_t$ on a continuous time semi-Markov process with an arbitrary state space. We study the existence of the limiting distribution of $\zeta_t/t$ without the condition of the finiteness of the mean occupation time of a fixed state. |
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