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WOD随机变量加权和的完全收敛性
  • ISSN号：1000-4424
  • 期刊名称：《高校应用数学学报：A辑》
  • 时间：0
  • 分类：O211.4[理学—概率论与数理统计;理学—数学]
  • 作者机构：安徽大学数学科学学院,安徽合肥230601
  • 相关基金：国家自然科学基金（11201001）; 安徽省自然科学基金（1508085J06）; 安徽大学研究性教学示范课程项目（xjyjkc1407）; 大学生创新创业训练项目（201510357118）
作者： 丁洋, 吴燚, 王学军, 谢秀娟, 杜玲
关键词： WOD随机变量, 完全收敛性, 加权和, widely orthant-dependent random variables, complete convergence, weighted sums
中文摘要：

宽象限相依变量（简称WOD变量）是一类包含独立变量,负相协变量（简称NA变量）,负象限相依变量（简称NOD变量）和推广的负象限相依变量（简称END变量）在内的非常广泛的相依变量.本文利用WOD变量的Rosenthal型矩不等式和随机变量的截尾技术,在一般的条件下建立了WOD变量加权和的完全收敛性.所得结果推广了若干相依变量的相应结果.

英文摘要：

The class of widely orthant-dependent（WOD, in short） random variables includes independent sequence, negatively associated sequence, negatively orthant dependent sequence and extended negatively dependent sequence as special cases. In this paper, the complete convergence for weighted sums of WOD random variables under some mild conditions is established by using the Rosenthal type inequality for WOD random variables and the truncation method. The result obtained in the paper generalizes the corresponding ones for some dependent random variables.

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若干相依序列的概率极限理论和方法及其在保险与金融数学中的应用
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期刊信息
  • 《高校应用数学学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州市玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu@zjy.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1000-4424
  • 国内统一刊号：ISSN：33-1110/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,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:3669