期刊文献+

关于AQSI序列的几乎处处收敛性及强大数定理 被引量:2

On the Almost Sure Convergence of AQSI Random Sequences and Strong Law of Large Numbers
原文传递
导出
摘要 建立了关于AQSI序列的Kolmogorov型不等式和AQSI序列的三级数定理,讨论了AQSI序列的几乎处处收敛性并且得到了关于AQSI序列的chung型强大数定理. In this paper, the Kolmogorov's type inequality and an extented three series theo- rem for AQSI sequence of random variables are estabilished. Under the suitable assumptions, the strong convergence of sequence of AQSI and a Chung's type strong law of large numbers are obtained.
作者 唐健 汪忠志
出处 《数学的实践与认识》 CSCD 北大核心 2012年第4期172-178,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(11071104) 安徽省教育厅科研项目(2006kj246B)
关键词 AQSI序列 Kolmogorov型不等式 推广的三级数定理 强大数定理 AQSI random sequences Kolmogorov's type inequality generalized three series theorem strong law of large numbers.
  • 相关文献

参考文献5

  • 1Chandra T K and Ghosal S..Some elementary strong laws of large numbers:a review[J]. Technical Report 22/93,Indian Statistical Institute, 1993.
  • 2Chandra T K and Ghosal S. Extensions of the strong law of large numbers of Marcinkiewicz and Zygmund for dependent variables.Acta Math.Hung. 1996, 71(4): 327-336.
  • 3Birkel, T. Laws of large numbers under dependence assumptions[J]. Statist Probab Lett, 1992, 14: 355-362.
  • 4Chandra T K and Ghosal S. The strong law of large numbers for weighted averages under dependence assumptions[J]. Theoret Probab, 1996, 9(3): 797-809.
  • 5Kim T S, Ko M H and Ryu D H. A strong law of large numbers for asymptotically quadrant sub-independent sequences[J]. Appl Math and Computing, 2004, 16: 419-427.

同被引文献9

引证文献2

二级引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部