期刊文献+

混合阵列的收敛性 被引量:8

Convergence of Arrays of  Mixing Random Variables
下载PDF
导出
摘要 该文引入了混合阵列的概念,讨论了混合阵列的完全收敛性与依概率收敛性.所得结果,推广了行独立随机变量阵列相应的结果.此外还得到了一般随机变量阵列的完全收敛性与依概率收敛性. In this paper the authors introduce the concept of arrays of mixing random variables and study the complete convergence and the convergence in probabillity for such arrays of mixing random variables. The results extend the corresponding ones of arrays of rowwise independent random variables. In the other direction, the complete convergence and the convergence in probability for arbitrary random variable arrays are obtained.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2005年第1期73-78,共6页 Acta Mathematica Scientia
基金 国家自然科学基金(10071019) 湖南省教育厅科研基金 国家自然科学基金(10071058)资助
关键词 ρ混合阵列 完全收敛性 mixing array Complete convergence.
  • 相关文献

参考文献8

  • 1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
  • 2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
  • 3Bradley R C. Equivalent Mixing Conditions for Random Fields. Technical Report No. 336. Center for Stochastic Processes: Univ of North Carolina, 1990. 被引量:1
  • 4Bradley R C. On the spectral density and asymptotic normality of weakly dependent random fields. J Theoret Probab, 1992, 5:355-374. 被引量:1
  • 5Bryc W, Smolenski W. Moment conditions for almost sure convergence of weakly correlated random variables. Proceedings of American Math Society, 1993, 119(2):629-635. 被引量:1
  • 6HU T C, Taylor R L. On the strong law for arrays and for the bootstrap mean and variance. Internat J Math & Math Sci, 1997, 20(2):375-382. 被引量:1
  • 7Hsu P L, Robbins H. Complete convergence and the strong law of large numbers. Proc Nat Acad Sci, 1947, 33(2): 25-31. 被引量:1
  • 8Bozorgnia A, Patterson R F, Taylor R L. On strong laws of large numbers for arrays of rowwise independent random elements. Internat J Math & Math Sci, 1993, 16(3): 587-592. 被引量:1

二级参考文献8

  • 1苏淳(译),独立随机变量之和的极限定理,1991年,88页 被引量:1
  • 2Bradley R C. Eqnivalent mixing conditions for random fields [M]. Chapel Hill:Technical Roport No.336,Center for Stochastic Processes, Univ of North Carolina, 1990. 被引量:1
  • 3Bradley R C. On the spectral density and asymptotic normality of weakly dependent random fields[J]. J Theoret Probab, 1992.5: 355~374. 被引量:1
  • 4Bryc 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. 被引量:1
  • 5Stout W F. Almost Sure Convergence[M]. New York:Academic Press,1974. 被引量:1
  • 6Thrum R. A remark on almost sure convergence of weighted suns[J]. Probab. Th. Rel. Fields, 1987,75:425~430. 被引量:1
  • 7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
  • 8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94

同被引文献59

  • 1陈平炎.同分布混合序列的最大值不等式及其应用[J].数学物理学报(A辑),2006,26(5):725-730. 被引量:2
  • 2邱德华,甘师信.混合序列的Hájeck-Rènyi型不等式及强大数律[J].数学的实践与认识,2007,37(3):107-111. 被引量:10
  • 3Bradley R C. Equivalent mixing conditions for random fields[J]. Annals of Probability, 1993, 21(4): 1921-1926. 被引量:1
  • 4Bradley R C. On the spectral density and asymptotic normality of weakly dependent random fields[J]. Theoret Probab., 1992, (5): 355 374. 被引量:1
  • 5Bryc W, Smolenski W. Moment conditions for almost sure convergence of weakly correlated random varables[J]. Proceedings of American Math. Society, 1993, 119(2): 629 635. 被引量:1
  • 6HU T C, Taylor R L.On the strong law for arrays and for the bootstrap mean and variabce[J].Internat J. Math. and Math. Sci. , 1997, 20(2): 375-382. 被引量:1
  • 7Cabrera M O, Sung S H. On complete convergence of weighted sums of random elements[J]. Stoch. Anal. Appl., 2002, 20(1): 21 32. 被引量:1
  • 8Utev S, Peligrad M. Maximal Inequalities and an Invariance Principle for a Class of Weakly Dependent Random Variables [J]. J. Theoet Probab, 2003, (16):101-115. 被引量:1
  • 9Bai Z D,Cheng P E.Marcinkiewicz strong laws for linear statistics.Statist Probab Lett,2000,46:105-112. 被引量:1
  • 10Hu T C,Li D,Rosalsky A,et al.On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements.Theory Probab Appl,2002,47(3):455-468. 被引量:1

引证文献8

二级引证文献23

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