孟兵, 吴群英. ANA随机变量序列加权和的完全收敛性与完全矩收敛性[J]. 应用概率统计, 2024, 40(5): 710-724. DOI: 10.12460/j.issn.1001-4268.aps.2024.2022027
引用本文: 孟兵, 吴群英. ANA随机变量序列加权和的完全收敛性与完全矩收敛性[J]. 应用概率统计, 2024, 40(5): 710-724. DOI: 10.12460/j.issn.1001-4268.aps.2024.2022027
MENG Bing, WU Qunying, . Complete Convergence and Complete Moment Convergence for Weighted Sums of ANA Random Variables[J]. Chinese Journal of Applied Probability and Statistics, 2024, 40(5): 710-724.
Citation: MENG Bing, WU Qunying, . Complete Convergence and Complete Moment Convergence for Weighted Sums of ANA Random Variables[J]. Chinese Journal of Applied Probability and Statistics, 2024, 40(5): 710-724.

ANA随机变量序列加权和的完全收敛性与完全矩收敛性

Complete Convergence and Complete Moment Convergence for Weighted Sums of ANA Random Variables

  • 摘要: 本文研究了不同分布下ANA随机变量序列加权和的完全收敛性与完全矩收敛性.所得结果推广了Ann和Yuan1以及Shen等2的结果到ANA序列的情形.

     

    Abstract: In this paper, we investigate the complete convergence and complete moment convergence for weighted sums of arrays of rowwise asymptotically negatively associated (ANA) random variables, without assuming identical distribution. The obtained results not only extend those of An and Yuan1 and Shen et al.2 to the case of ANA random variables, but also partially improve them.

     

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