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. DOI: 10.12460/j.issn.1001-4268.aps.2024.2022027
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. DOI: 10.12460/j.issn.1001-4268.aps.2024.2022027

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

  • 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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