行为ND随机变量阵列加权和的矩完全收敛性

doi:10.6040/j.issn.1671-9352.0.2014.300

山东大学学报（理学版） ›› 2015, Vol. 50 ›› Issue (06): 27-32.doi: 10.6040/j.issn.1671-9352.0.2014.300

行为ND随机变量阵列加权和的矩完全收敛性

谭闯, 郭明乐, 祝东进

安徽师范大学数学系, 安徽芜湖 241000

收稿日期:2014-06-26 修回日期:2015-03-13 出版日期:2015-06-20 发布日期:2015-07-31
通讯作者: 郭明乐(1978-),男,博士,副教授,研究方向为随机极限理论.E-mail:mleguo@163.com E-mail:mleguo@163.com
作者简介:谭闯(1990-),男,硕士研究生,研究方向为随机极限理论.E-mail:tanchuangahnu@163.com
基金资助:
国家自然科学基金资助项目(11271020);安徽省教育厅重大项目(KJ2012ZD01);安徽省自然科学基金资助项目(1508085MA11)

Complete moment convergence of weighted sums of arrays of rowwise ND random variables

TAN Chuang, GUO Ming-le, ZHU Dong-jin

Department of Mathematics, Anhui Normal University, Wuhu 241000, Anhui, China

Received:2014-06-26 Revised:2015-03-13 Online:2015-06-20 Published:2015-07-31

摘要/Abstract

摘要： 利用Hoffmann-type不等式及一系列矩不等式,通过必要的放缩,得出ND随机阵列权加和的矩完全收敛的充分条件。

关键词: ND随机阵列, 权加和, 矩完全收敛性, 矩不等式

Abstract: By making good use of Hoffmann-type inequality and a series of moments inequalities, and some necessary scalings, the sufficient condition of complete moment convergence of weighted sums of arrays of rowwise ND random variables was obtained.

Key words: rowwise ND random variables, weighted sums, complete moment convergence, moments inequalities

中图分类号:

O211.4

谭闯, 郭明乐, 祝东进. 行为ND随机变量阵列加权和的矩完全收敛性[J]. 山东大学学报（理学版）, 2015, 50(06): 27-32.

TAN Chuang, GUO Ming-le, ZHU Dong-jin. Complete moment convergence of weighted sums of arrays of rowwise ND random variables[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(06): 27-32.

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行为ND随机变量阵列加权和的矩完全收敛性

Complete moment convergence of weighted sums of arrays of rowwise ND random variables

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