期刊文献+

NOD随机变量加权和的强收敛性 被引量:1

On strong convergence of weighted sums of negatively orthant dependent random variables
下载PDF
导出
摘要 文章在一个相对较弱的条件下讨论了在随机控制条件下的NOD序列加权和的强收敛性,并且得到了同分布条件下NOD序列的加权和收敛性的相应结果,推广了独立序列和NA序列相应的结果。 Under much weaker conditions ,the strong convergence result of weighted sums of negative-ly orthant dependent (NOD) random variables ,w hich are dominated by a random variable ,is estab-lished .In addition ,the corresponding result of identically distributed NOD random variables is ob-tained ,w hich generalizes the corresponding one of independent random variables and negatively asso-ciated(NA) random variables .
出处 《合肥工业大学学报(自然科学版)》 CAS CSCD 北大核心 2014年第3期381-384,共4页 Journal of Hefei University of Technology:Natural Science
基金 安徽省自然科学基金资助项目(1208085QA03) 国家级大学生创新创业训练计划资助项目(201210357003) 安徽大学大学生科研训练资助项目(KYXL2012007) 安徽大学大学生创新训练计划资助项目(cxcy2012003 201310357004)
关键词 NOD随机变量 加权和 强收敛性 negatively orthant dependent (NOD) random variable weighted sum strong convergence
  • 相关文献

参考文献10

  • 1Hsu P L,Robbins H. Complete convergence and the law of large numbers :J]. Proceedings of the National Academy of Science of USA, 2007,33 : 25- 31.
  • 2Sung S H. On the strong convergence for weighted sums of random variables [J:. Statistical Papers, 2011, 52: 447-454.
  • 3Cai O H. Strong laws for weighted sums of NA random var- iables EJ]. Metrika, 2008,68 : 323- aa 1.
  • 4Volodin Pu On the Kolmogorov exponential inequality for negatively dependent random variables [J]. Pakistan Jour- nal of Statistics, 2002,18 (2) ; 249- 253.
  • 5Asadian N, Fakoor V, Bozorgnia A. Rosenthal' s type ine-qualities for negatively orthant dependent random variables [J]. Journal of the Iranian Statistical Society, 2006, 5.. 69-75.
  • 6Amini M, Azamoosh H A, Bozorgnia A. The strong law of large numbers for negatively dependent generalized Gaussi- an random variables [J]. Stochastic Analysis and Applica- tions, 2004,22 : 893- 901.
  • 7Taylor R L, Patterson R F, Bozorgnia A. A strong law of large numbers for arrays of rowwise negatively dependent random variables [J]. Stochastic Analysis and Applications, 2002,20:643-656.
  • 8Zarei H,Jabbari H. Complete convergence of weighted sums under negative dependence [J]. Statistical Papers, 2011,52= 413-418.
  • 9Qiu D H, Chang K C, Antonini R G, Volodin A. On the strong rates of convergence for arrays of rowwise nega- tively dependent random variables EJ:, Stochastic Analysis and Applications, 2011,29 : 375-385.
  • 10Amini M, NiliSani H R, Bozorgnia A. Aspects of negative dependence structures I-J]. Communications in Statistics: Theory and Methods, 2013,42 : 907- 917.

同被引文献7

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