A theorem of Hsu-Robbins type for negatively associated sequence

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A theorem of Hsu-Robbins type for negatively associated sequence

机译：负相关序列的Hsu-Robbins型定理

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摘要

The sequence of negatively associated random variables (r.v.'s) are widely used in the reliability theory and multivariate statistical analysis, so it is significant to investigate the limit properties of those sequences. Hsu-Robbins pointed out the following famous theorem for independent identically distributed (iid) r.v.'s, and-introduced the concept of complete convergence in 1946.

机译：负相关的随机变量（r.v.）序列在可靠性理论和多元统计分析中被广泛使用，因此研究这些序列的极限性质具有重要意义。 Hsu-Robbins指出了以下关于独立的同分布（iid）r.v.定理的著名定理，并在1946年引入了完全收敛的概念。

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《Chinese science bulletin》 |1996年第6期|共6页
作者
SU Chun;
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原文格式 PDF
正文语种 eng
中图分类自然科学现状及发展;
关键词
NA sequences; complete convergence; mixed moments of high-orders;

机译：NA序列;完全收敛;高阶混合矩;

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专利

1. A theorem of Hsu-Robbins type for negatively associated sequence [J] . SU Chun Chinese science bulletin . 1996,第6期

机译：负相关序列的Hsu-Robbins型定理
2. Hsu-Robbins and Spitzer's theorems for the variations of fractional Brownian motion [J] . Tudor Ciprian A. Electronic Communications in Probability . 2009,第11期

机译：Hsu-Robbins和Spitzer定理，分数布朗运动的变化
3. A correction to “Some mean convergence and complete convergence theorems for sequences of $m$-linearly negative quadrant dependent random variables” [J] . Wu Yongfeng, Rosalsky Andrew, Volodin Andrei Applications of mathematics . 2017,第2期

机译：对“ $ m $-线性负象限相关随机变量序列的某些平均收敛和完全收敛定理”的修正
4. Tauberian Theorems for The Product of Weighted and Cesàro Summability Methods of Double Sequences [C] . Gok?en F?dik, ?brahim ?anak International Conference of Mathematical Sciences . 2019

机译：双序列加权和CES的超要级别产品的理论
5. Central Limit Theorems for Randomly Modulated Sequences of Random Vectors with Resampling and Applications to Statistics [D] . Bagyan, Armine 2015

机译：具有重采样的随机矢量随机调制序列的中心极限定理及其在统计学中的应用
6. Ergodic theorems along sequences and Hardy fields. [O] . M Boshernitzan, M Wierdl 1996

机译：沿序列和Hardy场的遍历定理。
7. HSU-Robbins and Spitzer's theorems for the variations of fractional Brownian motion [O] . Tudor Ciprian A. 2009

机译：HSU-Robbins和Spitzer定理用于分数布朗运动的变化
8. Theorems of Ergodic Type for Stationary Sequences with Missing Observations [R] . Loynes, R. M. 1969

机译：具有缺失观测的平稳序列的遍历型定理

A theorem of Hsu-Robbins type for negatively associated sequence

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