| 行为渐近几乎负相关随机变量阵列加权和的完全矩收敛性（英文） |
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| 引用本文： | 黄海午,邹航,易艳春.行为渐近几乎负相关随机变量阵列加权和的完全矩收敛性（英文）[J].数学进展,2019(1):110-120. |
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| 作者姓名： | 黄海午 邹航 易艳春 |
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| 作者单位： | 衡阳师范学院数学与统计学院;智能信息处理与应用湖南省重点实验室;中南大学数学与统计学院 |
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| 基金项目： | supported by the Humanities and Social Sciences Foundation for the Youth Scholars of Ministry of Education of China(No.15YJCZH066);the Science and Technology Plan Project of Hunan Province(No.2016TP1020);the Science and Technology Plan Project of Hengyang City(No.2017KJ183);the Construct Program of the Key Discipline in Hunan Province and University Students Research and Innovation Experiment Project of Hunan Province(No.C1718);the Scientific Research Fund of Hunan Provincial Education Department(No.17A030);Hunan Provincial Natural Science Foundation of China(No.2018JJ4024);the 2018 National Statistical Science Research Project of China(No.2018LY05) |
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| 摘 要： | 本文考虑行为渐近几乎负相关(AANA)随机变量阵列加权和的完全矩收敛性,在未同分布假设下建立了完全矩收敛性的一些充分条件.获得的主要结果分别推广和改进了负相关随机变量和渐近几乎负相关随机变量的相应结论.
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| 关 键 词： | 行为渐近几乎负相关随机变量阵列 完全矩收敛性 加权和 |
Complete Moment Convergence for Weighted Sums of Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables |
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| HUANG Haiwu,ZOU Hang,YI Yanchun.Complete Moment Convergence for Weighted Sums of Arrays of Rowwise Asymptotically Almost Negatively Associated Random Variables[J].Advances in Mathematics,2019(1):110-120. |
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| Authors: | HUANG Haiwu ZOU Hang YI Yanchun |
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| Institution: | (College of Mathematics and Statistics,Hengyang Normal University,Hengyang,Hunan,4^^002,P.R.China;Hunan Provincial Key Laboratory of Intelligent Information Processing and Application,Hengyang,Hunan,4^^002,P.R.China;School of Mathematics and Statistics,Central South University,Changsha,Hunan,410012,P.R.China) |
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| Abstract: | HUANG Haiwu;ZOU Hang;YI Yanchun(College of Mathematics and Statistics,Hengyang Normal University,Hengyang,Hunan,4^^002,P.R.China;Hunan Provincial Key Laboratory of Intelligent Information Processing and Application,Hengyang,Hunan,4^^002,P.R.China;School of Mathematics and Statistics,Central South University,Changsha,Hunan,410012,P.R.China) |
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| Keywords: | arrays of rowwise AANA random variables complete moment convergence weighted sums |
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