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END随机变量阵列加权和的完全收敛性
  • 期刊名称：高校应用数学学报
  • 时间：2014
  • 页码：253-260
  • 分类：O211.4[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,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（1208085QA03;1308085QA03;1408085QA02）;安徽大学研究生学术创新研究项目（yfc100023）;安徽大学研究性教学示范课程（xjyjkc1407）;安徽大学大学生创新创业训练计划（201410357117）
  • 相关项目：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
作者： 徐陈|王学军|王嫱|
关键词： 完全收敛性, 加权和, END随机变量, complete convergence, weighted sum, extended negatively dependent random variables
中文摘要：

利用END变量的Rosenthal型矩不等式，研究了END随机阵列加权和的完全收敛性，给出了证明完全收敛性的一些充分条件．另外，还给出了证明完全收敛性的一个必要条件．所得结果推广了独立变量和若干相依变量的相应结果．

英文摘要：

In this article, the complete convergence for weighted sums of arrays of rowwise extended negatively dependent random variables is obtained by using the Rosenthal type moment inequality. Some sufficient conditions to prove the complete convergence are provided. In addition, a necessary condition to prove the complete convergence is presented. The results obtained in the paper extended some corresponding ones for independent sequences and some dependent sequences.

同期刊论文项目
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
期刊论文 89
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