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行m-NSD随机变量阵列的完全收敛性

冯凤香 王定成 吴群英

数学杂志2017,Vol.37Issue(5):889-897,9.
数学杂志2017,Vol.37Issue(5):889-897,9.

行m-NSD随机变量阵列的完全收敛性

COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE M-NSD RANDOM VARIABLES

冯凤香 1王定成 2吴群英1

作者信息

  • 1. 电子科技大学数学科学学院,四川成都 611731
  • 2. 桂林理工大学理学院,广西桂林 541004
  • 折叠

摘要

Abstract

In this article, we study complete convergence theorems for arrays of rowwise m-negatively superadditive-dependent (m-NSD) random variables. By using Kolmogorov-type ex-ponential inequality for m-NSD random variables, we obtain complete convergence theorems for arrays of rowwise m-NSD random variables, which generalize those on complete convergence theo-rem previously obtained by Hu et al. (1998) and Sung et al. (2005) from independent distributed case to m-NSD arrays. Our results also extend the corresponding results of Chen et al.(2008), Hu et al. (2009), Qiu et al. (2011) and Wang et al. (2014).

关键词

Kolmogorov型指数不等式/完全收敛性/m-NSD随机变量

Key words

Kolmogorov-type exponential inequality/complete convergence/m-NSD ran-dom variables

分类

数理科学

引用本文复制引用

冯凤香,王定成,吴群英..行m-NSD随机变量阵列的完全收敛性[J].数学杂志,2017,37(5):889-897,9.

基金项目

Supported by National Natural Science Foundation of China (71271042 ()

11361019) ()

Research Pro ject of Guangxi High Institution (YB2014150). (YB2014150)

数学杂志

OACSTPCD

0255-7797

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