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Volume 30, Issue 1
Complete Convergence of Weighted Sums for Arrays of Rowwise $m$-Negatively Associated Random Variables

Mingle Guo, Chunyu Xu & Dongjin Zhu

Commun. Math. Res., 30 (2014), pp. 41-50.

Published online: 2021-05

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  • Abstract

In this paper, we discuss the complete convergence of weighted sums for arrays of rowwise $m$-negatively associated random variables. By applying moment inequality and truncation methods, the sufficient conditions of complete convergence of weighted sums for arrays of rowwise $m$-negatively associated random variables are established. These results generalize and complement some known conclusions.

  • Keywords

complete convergence, negatively associated, $m$-negatively associated, weighted sum.

  • AMS Subject Headings

60F15

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-30-41, author = {Mingle and Guo and and 18792 and and Mingle Guo and Chunyu and Xu and and 18787 and and Chunyu Xu and Dongjin and Zhu and and 18788 and and Dongjin Zhu}, title = {Complete Convergence of Weighted Sums for Arrays of Rowwise $m$-Negatively Associated Random Variables}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {30}, number = {1}, pages = {41--50}, abstract = {

In this paper, we discuss the complete convergence of weighted sums for arrays of rowwise $m$-negatively associated random variables. By applying moment inequality and truncation methods, the sufficient conditions of complete convergence of weighted sums for arrays of rowwise $m$-negatively associated random variables are established. These results generalize and complement some known conclusions.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/18986.html} }
TY - JOUR T1 - Complete Convergence of Weighted Sums for Arrays of Rowwise $m$-Negatively Associated Random Variables AU - Guo , Mingle AU - Xu , Chunyu AU - Zhu , Dongjin JO - Communications in Mathematical Research VL - 1 SP - 41 EP - 50 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/18986.html KW - complete convergence, negatively associated, $m$-negatively associated, weighted sum. AB -

In this paper, we discuss the complete convergence of weighted sums for arrays of rowwise $m$-negatively associated random variables. By applying moment inequality and truncation methods, the sufficient conditions of complete convergence of weighted sums for arrays of rowwise $m$-negatively associated random variables are established. These results generalize and complement some known conclusions.

Mingle Guo, Chunyu Xu & Dongjin Zhu. (2021). Complete Convergence of Weighted Sums for Arrays of Rowwise $m$-Negatively Associated Random Variables. Communications in Mathematical Research . 30 (1). 41-50. doi:
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