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Rosenthal Inequality for NOD Sequences and Its Applications
  • ISSN号：0583-1431
  • 期刊名称：《数学学报》
  • 时间：0
  • 分类：O211[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China, [2]Department of Mathematics, Jinan University, Guangzhou 510630, Guangdong, China, [3]Department of Mathematics and Computer Science, Guangdong Business College, Guangzhou 510320, Guangdong, China
  • 相关基金：Supported by the National Natural Science Foundation of China （10671149, 60574002）
作者： GAN Shixin[1], CHEN Pingyan[2], QIU Dehua[3]
关键词： Rosenthal, 不平等数组点头(否定地, orthant, 依赖者), 随机的可变顺序完全的集中, Rosenthal inequality, array, NOD （negatively orthant dependent） random variable sequence, complete convergence
中文摘要：

为点头的 Rosenthal 不平等(否定地 orthant 依赖者) 随机的可变序列被建立。作为它的应用程序，为点头随机变量的数组的加权的和的完全的集中的二条定理被给，它扩大相应已知的结果。

英文摘要：

Rosenthal inequality for NOD （negatively＇ orthant dependent） random variable sequences is established. As its applications, two theorems of complete convergence of weighted sums for arrays of NOD random variables are given, which extend the corresponding known results.

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期刊信息
  • 《数学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院数学与系统科学研究院数学研究院
  • 主编：李炳仁
  • 地址：北京市海淀区中关村东路55号
  • 邮编：100080
  • 邮箱：Actamath@amss.ac.cn
  • 电话：010-62551910
  • 国际标准刊号：ISSN：0583-1431
  • 国内统一刊号：ISSN：11-2038/O1
  • 邮发代号:2-502
  • 获奖情况:
  • 1996年中科院优秀科技期刊二等奖,1997年全国优秀科技期刊二等奖,2000年中科院优秀科技期刊二等奖
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:9981