| Title:
|
On weighted U-statistics for stationary random fields (English) |
| Author:
|
Klicnarová, Jana |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
53 |
| Issue:
|
2 |
| Year:
|
2017 |
| Pages:
|
220-230 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The aim of this paper is to introduce a central limit theorem and an invariance principle for weighted U-statistics based on stationary random fields. Hsing and Wu (2004) in their paper introduced some asymptotic results for weighted U-statistics based on stationary processes. We show that it is possible also to extend their results for weighted $U$-statistics based on stationary random fields. (English) |
| Keyword:
|
limit theorem |
| Keyword:
|
U-statistics |
| Keyword:
|
random fields |
| MSC:
|
60F05 |
| idZBL:
|
Zbl 06770165 |
| idMR:
|
MR3661349 |
| DOI:
|
10.14736/kyb-2017-2-0220 |
| . |
| Date available:
|
2017-06-25T17:54:37Z |
| Last updated:
|
2018-01-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146802 |
| . |
| 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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| Reference:
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| Reference:
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| . |
