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Rosenthal Inequality for NOD Sequences and Its Applications

Rosenthal Inequality for NOD Sequences and Its Applications
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摘要 Rosenthal inequality for NOD （negatively＇ orthant dependent） random variable sequences is established. As its applications, two theorems of complete convergence of weighted sums for arrays of NOD random variables are given, which extend the corresponding known results. Rosenthal inequality for NOD （negatively＇ orthant dependent） random variable sequences is established. As its applications, two theorems of complete convergence of weighted sums for arrays of NOD random variables are given, which extend the corresponding known results.
作者 GAN Shixin CHEN Pingyan QIU Dehua
机构地区 School of Mathematics and Statistics Department of Mathematics Department of Mathematics and Computer Science
出处 《Wuhan University Journal of Natural Sciences》 CAS 2011年第3期185-189,共5页 武汉大学学报（自然科学英文版）
基金 Supported by the National Natural Science Foundation of China (10671149,60574002)
关键词 Rosenthal inequality ARRAY NOD （negatively orthant dependent） random variable sequence complete convergence Rosenthal inequality array NOD （negatively orthant dependent） random variable sequence complete convergence
分类号 O211 [理学—概率论与数理统计]
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  • 1邱德华,甘师信.行为NA的随机变量阵列加权和的完全收敛性[J].武汉大学学报（理学版）,2004,50(3):287-290. 被引量：2
  • 2邱德华,甘师信.行为NA的随机变量阵列的完全收敛性[J].大学数学,2004,20(5):40-44. 被引量：2
  • 3邵启满，数学学报，1989年，32卷，377页
  • 4邵启满，数学学报，1988年，31卷，736页
  • 5Joag'-Dev K, Proschan F. Negative association of random variables with application[J]. Ann. Statist. ,1983,11:286-295.
  • 6Matula P. Anote on the almost sure convergence of sums of negative dependent random variables[J].Statist. Prob. Lett., 1992,15:209-213.
  • 7Su C. A theorem of Hsu Robbons type for negatively associated sequence[J]. Chinese Science Bulletin,1996,41(2) :106-110.
  • 8Taylor R L, Patterson R F,Bozorgnia A. A strong law of large numbers for arrays of rowwise negatively dependent random variables[J]. Stoch. Anal. Appl. , 2002,20 : 643-656.
  • 9Hu T C,Chang I-I C. Complete convergence and the law of large numbers for arrays of random elements[J]. Nonlinear analysis, Theory, Methods and Applications, 1997,30 (7) : 4257-4266.
  • 10Hu T C, Taylor R L. On the strong law for arrays and for the bootstrap mean and variance[J]. 1997, 20(2):375-382.

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Wuhan University Journal of Natural Sciences
2011年 第3期

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