期刊文献+

-混合序列的不变原理 被引量:12

An invariance principle for-mixing random sequences
下载PDF
导出
摘要 给出一类较广泛的ρ-混合序列 ,并证明了在一定的矩条件下 。 In this paper, -mixing random sequences are considered. An invariance principle for -mixing random sequences is established.
作者 吴群英
出处 《纯粹数学与应用数学》 CSCD 2003年第1期12-15,共4页 Pure and Applied Mathematics
基金 广西自然科学基金资助项目 (桂科青 9912 0 0 8) .
关键词 ~↑ρ-混合序列 不变原理 矩条件 mixing random sequence,invariance principle,Moment condition
  • 相关文献

参考文献6

  • 1Bradley R C.Equivalent mixingconditions for random fields[M].Technical Roport No.336,Center for StochasticProcesses,Univ of North Carolina,Chapel Hill:1990.
  • 2Bradley R C.On the spectral density and asymptotic normality of weakly dependentrandom fields[J].J Theoret Probab,1992,5:355~374.
  • 3Bryc W,Smolenski W.Moment conditions for almost sure convergence of weaklycorrelated random variables[J].Proceeding of American Math Society,1993,119(2):629~635.
  • 4吴群英.混合序列的若干收敛性质[J].工程数学学报,2001,18(3):58-64. 被引量:61
  • 5吴群英.混合序列加权和的完全收敛性和强收敛性[J].应用数学,2002,15(1):1-4. 被引量:47
  • 6Billingsley E.Convergence of Probability Measures[M].New York:Wiley,1968.

二级参考文献7

  • 1Bradley R C. Eqnivalent mixing conditions for random fields [M]. Chapel Hill:Technical Roport No.336,Center for Stochastic Processes, Univ of North Carolina, 1990.
  • 2Bradley R C. On the spectral density and asymptotic normality of weakly dependent random fields[J]. J Theoret Probab, 1992.5: 355~374.
  • 3Bryc W, Smolenski W. Moment condition for almost sure convergence of weakly correlated random variables[J]. Proceeding of American Math Society, 1993,119 (2): 629~ 635.
  • 4Stout W F. Almost Sure Convergence[M]. New York:Academic Press,1974.
  • 5Thrum R. A remark on almost sure convergence of weighted suns[J]. Probab. Th. Rel. Fields, 1987,75:425~430.
  • 6杨善朝.一类随机变量部分和的矩不等式及其应用[J].科学通报,1998,43(17):1823-1828. 被引量:73
  • 7吴群英.混合序列的若干收敛性质[J].工程数学学报,2001,18(3):58-64. 被引量:61

共引文献78

同被引文献51

引证文献12

二级引证文献18

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