| Hilbert空间下CAANA序列的完全矩收敛 |
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| 引用本文： | 费丹丹,付宗魁,李彩娟. Hilbert空间下CAANA序列的完全矩收敛[J]. 吉林大学学报(理学版), 2022, 60(4): 866-872 |
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| 作者姓名： | 费丹丹 付宗魁 李彩娟 |
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| 作者单位： | 信阳学院 数学与统计学院, 河南 信阳 464000 |
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| 摘 要： | 用Hilbert空间下CAANA(coordinatewise asymptotically almost negatively associated)序列的性质及矩不等式考虑CAANA序列的一阶矩收敛性问题, 得到了Hilbert空间下不同分布的CAANA序列的完全矩收敛.
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| 关 键 词： | Hilbert空间 CAANA序列 完全矩收敛 |
| 收稿时间： | 2021-09-16 |
Complete Moment Convergence for CAANA Sequences in Hilbert Spaces |
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| FEI Dandan,FU Zongkui,LI Caijuan. Complete Moment Convergence for CAANA Sequences in Hilbert Spaces[J]. Journal of Jilin University: Sci Ed, 2022, 60(4): 866-872 |
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| Authors: | FEI Dandan FU Zongkui LI Caijuan |
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| Affiliation: | School of Mathematics and Statistics, Xinyang University, Xinyang 464000, Henan Province, China |
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| Abstract: | By using the properties and the moment inequality of coordinatewise asymptotically almost negatively associated (CAANA) sequences in Hilbert space, we considered the problem of the first order moment convergence of CAANA sequences, and obtained the complete moment convergence of CAANA sequences with different distributions in Hilbert space. |
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| Keywords: | Hilbert space coordinatewise asymptotically almost negatively associated (CAANA) sequence complete moment convergence |
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