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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| Date: | 2008 |
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| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2008
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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oai:nasplib.isofts.kiev.ua:123456789-45332025-02-23T17:40:54Z 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. This article was partially supported by the M.I.U.R. Italy. 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 https://nasplib.isofts.kiev.ua/handle/123456789/4533 519.21 en application/pdf 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 |
| 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 |
2025-07-22T04:26:03Z |
| last_indexed |
2025-07-22T04:26:03Z |
| _version_ |
1838319784242970624 |