Complete convergence for coordinatewise asymptotically negatively associated random vectors in Hilbert spaces

Ko Mi-Hwa

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Complete convergence for coordinatewise asymptotically negatively associated random vectors in Hilbert spaces

机译：Hilbert空间中坐标渐近负相关随机向量的完全收敛

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摘要

In this article, we study the complete convergence for sequences of coordinatewise asymptotically negatively associated random vectors in Hilbert spaces. We also investigate that some related results for coordinatewise negatively associated random vectors in Huan, Quang, and Thuan (2014) still hold under this concept.

机译：在本文中，我们研究希尔伯特空间中坐标渐近负相关随机向量序列的完全收敛。我们还研究了在Huan，Quang和Thuan（2014）中坐标负相关随机向量的一些相关结果仍然在该概念下成立。

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来源
《Communications in Statistics》 |2018年第3期|671-680|共10页
作者
Ko Mi-Hwa;
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作者单位

Wonkwang Univ, Div Math & Informat Stat, Jeonbuk 570749, South Korea;

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正文语种 eng
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关键词
Asymptotically negative association; complete convergence; coordinatewise asymptotically negative association; coordinatewise weakly bounded; Hilbert space;

机译：渐近负关联;完全收敛;协调渐近负关联;协调弱有界;希尔伯特空间;

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专利

1. A note on complete moment convergence for coordinatewise negatively associated random vectors in Hilbert spaces [J] . Ko Mi-Hwa Communications in Statistics . 2020,第7a9期

机译：关于彼得伯特空间的环绕性带负关联随机向量的完整瞬间收敛的说明
2. Convergence Theorems for -Coordinatewise Negatively Associated Random Vectors in Hilbert Spaces [J] . Lyurong Shi Complexity . 2021,第a期

机译：-CooldientSWED相关相关的随机向量在希尔伯特空间中的收敛定理
3. Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space [J] . Xiang Huang, Yongfeng Wu Journal of inequalities and applications . 2018,第1期

机译：Hilbert空间中坐标负相关随机向量的强收敛定理
4. Complete convergence for weighted sums of arrays of rowwise negatively dependent random variables [C] . Bing Meng, Dingcheng Wang International Conference on Materials Science, Machinery and Energy Engineering . 2017

机译：完全收敛的划线阵列的加权和依赖于随机变量的加权和
5. A study on complete convergence for arrays of rowwise negatively associated random variables. [D] . Liang, Lingfeng. 2008

机译：行负相关随机变量数组的完全收敛性研究。
6. Strong convergence theorems for coordinatewise negatively associated random vectors in Hilbert space [O] . Xiang Huang, Yongfeng Wu -1

机译：Hilbert空间中坐标负相关随机向量的强收敛定理
7. Hájek–Rényi inequality for m-asymptotically almost negatively associated random vectors in Hilbert space and applications [O] . Mi-Hwa Ko 2018

机译：Hájek-Rényi在希尔伯特空间和应用中的M-渐关节上几乎负相关随机载体的不等式

Complete convergence for coordinatewise asymptotically negatively associated random vectors in Hilbert spaces

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