ρ*混合随机变量加权和的完全f矩收敛Complete f-Moment Convergence for Weighted Sums of ρ* Mixing Random Variables
潘舒廷,阮景,胡学平
摘要(Abstract)：
随机变量序列的完全f矩收敛是一个比完全矩收敛更强的概念，自2019年首次被提出以来，已取得了一些研究成果。文章利用ρ~*混合随机变量序列的相关矩不等式和截尾技术，研究了ρ~*混合随机变量序列加权和的完全f矩收敛性，并给出了其完全f矩收敛的一个充分条件，进一步推广了已有研究结果。针对NA序列、NSD序列等其他相依序列，也可以得到类似于本研究的相应结论。
关键词(KeyWords)： ρ~*混合随机变量;完全f矩收敛;完全矩收敛;矩不等式
基金项目(Foundation): 安徽省皖江流域种群生态模拟与控制国际联合研究中心平台项目（SLXY2024A001）;; 安徽省研究生教育教学改革研究重点项目（2022jyjxggyj321）;; 安庆师范大学校级重点教研项目（2024aqnujyxm07）
作者(Author): 潘舒廷,阮景,胡学平
DOI: 10.13757/j.cnki.cn34-1328/n.2025.03.001
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