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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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2008
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/4533 |
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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| _version_ | 1862531686419398656 |
|---|---|
| author | Giuliano, R. |
| author_facet | Giuliano, R. |
| 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. |
| collection | DSpace DC |
| 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.
|
| first_indexed | 2025-11-24T05:33:13Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-4533 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0321-3900 |
| language | English |
| last_indexed | 2025-11-24T05:33:13Z |
| publishDate | 2008 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Giuliano, R. 2009-11-25T11:01:38Z 2009-11-25T11:01:38Z 2008 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 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. en Інститут математики НАН України The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT Article published earlier |
| spellingShingle | The Rosenblatt coefficient of dependence for m–dependent random sequences with applications to the ASCLT Giuliano, R. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/4533 |
| work_keys_str_mv | AT giulianor therosenblattcoefficientofdependenceformdependentrandomsequenceswithapplicationstotheasclt AT giulianor rosenblattcoefficientofdependenceformdependentrandomsequenceswithapplicationstotheasclt |