| Title:
|
A strong invariance principle for negatively associated random fields (English) |
| Author:
|
Cai, Guang-hui |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
61 |
| Issue:
|
1 |
| Year:
|
2011 |
| Pages:
|
27-40 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper we obtain a strong invariance principle for negatively associated random fields, under the assumptions that the field has a finite $(2+\delta )$th moment and the covariance coefficient $u(n)$ exponentially decreases to $0$. The main tools are the Berkes-Morrow multi-parameter blocking technique and the Csörgő-Révész quantile transform method. (English) |
| Keyword:
|
strong invariance principle |
| Keyword:
|
negative association |
| Keyword:
|
random field |
| Keyword:
|
blocking technique |
| Keyword:
|
quantile transform |
| MSC:
|
60B10 |
| MSC:
|
60F15 |
| MSC:
|
60F17 |
| MSC:
|
60G60 |
| idZBL:
|
Zbl 1224.60008 |
| idMR:
|
MR2782757 |
| DOI:
|
10.1007/s10587-011-0015-0 |
| . |
| Date available:
|
2011-05-23T12:28:25Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141516 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| . |
