期刊文献+

混合序列的完全收敛性和部分和的几乎处处收敛性 被引量:2

Strong law of large numbers for  mixing random sequences
下载PDF
导出
摘要 讨论了不同分布混合序列的完全收敛性和部分和的几乎处处收敛性,利用矩不等式和截尾方法,得到了和独立情形完全一样的结果. In this paper,the complete convergence and the sum's strong convergence of different distributed ρ mixing random sequences were disscussed. We obtained the same results as independent sequences by moment inequality and trunccating.
作者 冯凤香
出处 《纯粹数学与应用数学》 CSCD 2009年第3期534-540,共7页 Pure and Applied Mathematics
基金 国家自然科学基金(10661006) 广西教育厅科研项目(200807LX188)
关键词 混合序列 完全收敛 强收敛 矩条件 ρ mixing, complete convergence, strong convergence, moment condition
  • 相关文献

参考文献11

二级参考文献28

  • 1刘筱萍.不同分布混合序列的完全收敛性[J].桂林工学院学报,2006,26(2):298-301. 被引量:10
  • 2Bradley R C.Equivalent mixing conditions for random fields[C]// Technical Report No.336:Center for Stochastic Processes.Chapel Hill:Univ of North Carolina,1990.
  • 3Bryc W,Smolenski W.Moment conditions for almost sure convergence of weakly correlated random variables[J].Proceeding of American Math Society,1993,119 (2):629 -635.
  • 4Baum L E.Katz M.Convergence rates in the law of large numbers[J].Trans.Amer.Math.Soc.,1965,120:108-123.
  • 5苏淳(译),独立随机变量之和的极限定理,1991年,88页
  • 6Peligrad M.Maximum of partial sums andan invariance principle for a class weak depend random variables[J].Proc Amer Math Soci.1998,126(4):1181-1189.
  • 7Peligrad M,Gut A.Almost sure results for a class of dependent random variables[J].JTheoret Probab,1999,12:87-104.
  • 8Bradley R C.Eqnivalent mixing conditions for random fields[M].Chapel Hill:TechnicalRoport No.336,Center for Stochastic Processes,Univ of North Carolina,1990.
  • 9Utev S,Peligrad M.Maximal inequalities and an invariance principle for a class ofweakly dependent random variables[J].J Theoret Probab,2003,16,101-115.
  • 10Bradley R C.Equivalent mixingconditions for random fields[M].Technical Roport No.336,Center for StochasticProcesses,Univ of North Carolina,Chapel Hill:1990.

共引文献117

同被引文献22

引证文献2

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