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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 = {Guo , MingleXu , Chunyu and Zhu , Dongjin}, 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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