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混合序列的Bernstein型不等式及其逆矩
  • ISSN号：1003-3998
  • 期刊名称：数学物理学报
  • 时间：2012
  • 页码：441-449
  • 分类：O211[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]安徽大学数学科学学院,合肥230039
  • 相关基金：国家自然科学基金（11171001）、教育部人文社科规划基金项目（10YJA910005）、安徽省高校优秀青年人才基金（2010sQRL016zD）、安徽省高等学校自然科学基金项目（J2010A005）、安徽大学创新团队基金资助课题（KJTD001B）和安徽大学青年科研基金（2009QN011A）资助
  • 相关项目：统计推断理论和方法及其在生物医学、数据分析与计算等方面的应用
作者： 胡舒合|李晓琴|杨文志|王学军|
关键词： 完全收敛, 逆矩, ψ-混合, ψ-混合, 渐近逼近., Complete convergence, Inverse moment, Q-mixing, ~-mixing, Asymptotic ap- proximation.
中文摘要：

吴铁肩等在Lindeberg型条件下，得到非负独立随机变量逆矩的渐近逼近．该文获得了ψ-混合、ψ-混合序列的Bernstein型不等式及其完全收敛性，并给出其逆矩的渐近逼近，推广和改进了吴铁肩等和胡舒合等文中的相应结果．

英文摘要：

Wu et al.[5] obtained the asymptotic approximation of inverse moments for inde- pendent nonnegative random variables under a Lindeberg-type condition. In this paper, we give some Bernstein-type inequalities and complete convergence for Q-mixing and C-mixing sequences, and obtain the asymptotic approximation of inverse moments for these two sequences, which generalize and improve the corresponding results in Wu et al.[5] and Hu et al.[8].

同期刊论文项目
统计推断理论和方法及其在生物医学、数据分析与计算等方面的应用
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期刊信息
  • 《数学物理学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学院武汉物理与数学研究所
  • 主编：李邦河 陈贵强 朱熹平
  • 地址：湖北省武汉市武昌小洪山西路30号武汉71010信箱
  • 邮编：430071
  • 邮箱：actams@wipm.ac.cn
  • 电话：027-87199206
  • 国际标准刊号：ISSN：1003-3998
  • 国内统一刊号：ISSN：42-1226/O
  • 邮发代号:38-214
  • 获奖情况:
  • 国内外数据库收录:
  • 俄罗斯文摘杂志,美国数学评论（网络版）,德国数学文摘,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:5382