| Title:
|
Complete convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables (English) |
| Author:
|
Wang, Xinghui |
| Author:
|
Li, Xiaoqin |
| Author:
|
Hu, Shuhe |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
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59 |
| Issue:
|
5 |
| Year:
|
2014 |
| Pages:
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589-607 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we establish the complete convergence and complete moment convergence of weighted sums for arrays of rowwise $\varphi $-mixing random variables, and the Baum-Katz-type result for arrays of rowwise $\varphi $-mixing random variables. As an application, the Marcinkiewicz-Zygmund type strong law of large numbers for sequences of $\varphi $-mixing random variables is obtained. We extend and complement the corresponding results of X. J. Wang, S. H. Hu (2012). (English) |
| Keyword:
|
complete convergence |
| Keyword:
|
$\varphi $-mixing sequence |
| Keyword:
|
Marcinkiewicz-Zygmund type strong law of large numbers |
| MSC:
|
60B10 |
| MSC:
|
60F15 |
| idZBL:
|
Zbl 06391452 |
| idMR:
|
MR3255797 |
| DOI:
|
10.1007/s10492-014-0073-3 |
| . |
| Date available:
|
2014-09-29T09:06:02Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143932 |
| . |
| Reference:
|
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