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.
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| Видавець: | Інститут математики НАН України |
|---|---|
| Дата: | 2008 |
| 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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| 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. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-4533 |
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dspace |
| spelling |
irk-123456789-45332009-11-26T12:00:40Z The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT Giuliano, R. 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. 2008 Article 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. 0321-3900 http://dspace.nbuv.gov.ua/handle/123456789/4533 519.21 en Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Giuliano, R. |
| spellingShingle |
Giuliano, R. The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT |
| author_facet |
Giuliano, R. |
| author_sort |
Giuliano, R. |
| title |
The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT |
| title_short |
The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT |
| title_full |
The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT |
| title_fullStr |
The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT |
| title_full_unstemmed |
The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT |
| title_sort |
rosenblatt coefficient of dependence for m–dependent random sequences with applications to the asclt |
| publisher |
Інститут математики НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/4533 |
| citation_txt |
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. |
| work_keys_str_mv |
AT giulianor therosenblattcoefficientofdependenceformdependentrandomsequenceswithapplicationstotheasclt AT giulianor rosenblattcoefficientofdependenceformdependentrandomsequenceswithapplicationstotheasclt |
| first_indexed |
2023-03-24T08:30:36Z |
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2023-03-24T08:30:36Z |
| _version_ |
1796139190608461824 |