The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT
We prove a new bound for the Rosenblatt coefficient of the normalized partial sums of a sequence of m-dependent random variables; this bound is used to prove a general result, from which the Almost Sure Central Limit Theorem can be deduced.
Збережено в:
| Дата: | 2008 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2008
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/4533 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT / R. Giuliano // Theory of Stochastic Processes. — 2008. — Т. 14 (30), № 1. — С. 30–38. — Бібліогр.: 9 назв.— англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | We prove a new bound for the Rosenblatt coefficient of the normalized partial sums of a sequence of m-dependent random variables; this bound is used to prove a general result, from which the Almost Sure Central Limit Theorem can be deduced. |
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