| Title:
|
Some limit theorems for $m$-pairwise negative quadrant dependent random variables (English) |
| Author:
|
Wu, Yongfeng |
| Author:
|
Peng, Jiangyan |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
54 |
| Issue:
|
4 |
| Year:
|
2018 |
| Pages:
|
815-828 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The authors first establish the Marcinkiewicz-Zygmund inequalities with exponent $p$ ($1\leq p\leq2$) for $m$-pairwise negatively quadrant dependent ($m$-PNQD) random variables. By means of the inequalities, the authors obtain some limit theorems for arrays of rowwise $m$-PNQD random variables, which extend and improve the corresponding results in [Y. Meng and Z. Lin (2009)] and [H. S. Sung (2013)]. It is worthy to point out that the open problem of [H. S. Sung, S. Lisawadi, and A. Volodin (2008)] can be solved easily by using the obtained inequality in this paper. (English) |
| Keyword:
|
$m$-pairwise negative quadrant dependent |
| Keyword:
|
Marcinkiewicz–Zygmund inequality |
| Keyword:
|
$L^r$ convergence |
| Keyword:
|
complete convergence |
| MSC:
|
60F15 |
| MSC:
|
60F25 |
| idZBL:
|
Zbl 06987036 |
| idMR:
|
MR3863258 |
| DOI:
|
10.14736/kyb-2018-4-0815 |
| . |
| Date available:
|
2018-10-30T14:54:39Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147426 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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