On the Strong Laws for Weighted Sums of [inline-graphic not available: see fulltext]-Mixing Random Variables

被引:0
作者
Xing-Cai Zhou
Chang-Chun Tan
Jin-Guan Lin
机构
[1] Southeast University,Department of Mathematics
[2] Tongling University,Department of Mathematics and Computer Science
[3] Heifei University of Technology,School of Mathematics
来源
Journal of Inequalities and Applications | / 2011卷
关键词
Real Number; Natural Number; Convergence Result; Standard Computation; Complete Convergence;
D O I
暂无
中图分类号
学科分类号
摘要
Complete convergence is studied for linear statistics that are weighted sums of identically distributed [inline-graphic not available: see fulltext]-mixing random variables under a suitable moment condition. The results obtained generalize and complement some earlier results. A Marcinkiewicz-Zygmund-type strong law is also obtained.
引用
收藏
相关论文
共 27 条
  • [1] Bradley RC(1992)On the spectral density and asymptotic normality of weakly dependent random fields Journal of Theoretical Probability 5 355-373
  • [2] Bryc W(1993)Moment conditions for almost sure convergence of weakly correlated random variables Proceedings of the American Mathematical Society 119 629-635
  • [3] Smoleński W(1998)Some moment inequalities for partial sums of random variables and their application Chinese Science Bulletin 43 1823-1828
  • [4] Yang SC(2002)Convergence for weighted sums of Mathematica Applicata 15 1-4
  • [5] Wu QY(2008) mixing random sequences Statistics & Probability Letters 78 1017-1023
  • [6] Wu Q(1999)Some strong limit theorems for Journal of Theoretical Probability 12 87-104
  • [7] Jiang Y(2004)-mixing sequences of random variables Statistics & Probability Letters 67 289-298
  • [8] Peligrad M(2003)Almost-sure results for a class of dependent random variables Journal of Theoretical Probability 16 101-115
  • [9] Gut A(2008)Almost sure convergence for Statistics & Probability Letters 78 1466-1472
  • [10] Gan SX(2007)-mixing random variable sequences Lobachevskii Journal of Mathematics 26 17-25