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B值随机元阵列加权和的收敛速度 被引量：2

Convergence Rates for Weighted Sums of Arrays of Banach Space Valued Random Elements
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摘要 得到了几个关于B值随机元阵列加权和收敛速度的一般性定理,这些定理推广和改进了已知的一些文献中相关的定理. General convergence rate theorems are obtained for weighted sums of arrays of Banach space valued random elements. These theorems extend and improve the related known works in the literature.
作者 邱德华
机构地区 广东商学院数学与计算科学学院
出处 《数学学报（中文版）》 SCIE CSCD 北大核心 2009年第4期651-660,共10页 Acta Mathematica Sinica：Chinese Series
关键词 B值随机元 收敛速度 加权和 Banach space valued random elements convergence rates weighted sums
分类号 O211.4 [理学—概率论与数理统计]
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参考文献11

  • 1Hu T. C., Rosalsky A., Szynal D., Volodin A., On complete convergence for arrays of rowwise independent random elements in Banach spaces, Stochastic Anal. Appl., 1999, 17(6): 963-992.
  • 2Hu T. C., Li D., Rosalsky A., Volodin A. I., 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.
  • 3Ahmed S. E., Giuliano Antonini R., Volodin A., On the rate of complete convergence for weighted sums of arrays of Banach space valued random elements with application to moving average processes, Statist. Probab. lett., 2002, 58(2): 185-194.
  • 4Volodin A., Giuliano Antonini R., Hu T. C., A note on the rate of complete convergence for weighted sums of arrays of Banach space valued random elements, Lobachevskio J. Math. (Electronic), 2004, 15: 21-33.
  • 5Sung S. H., Volodin A., On the rate of complete convergence for weighted sums of arrays of random elements, J. Korean Math. Soe., 2006, 4: 815-828.
  • 6Chen P. Y., Sung S. H., Volodin A., Rate of complete convergence for arrays of Banach space valued random elements, Siberian Adv. Math., 2006, 16(3): 1-14.
  • 7de Acosta A., Inequalities for B-valued random vectors with applications to the strong law of large numbers, Ann. Probab., 1981, 9: 157-161.
  • 8Bai Z. D., Su C., The complete convergence for partial sums of i.i.d. random variables, Sci. Sinica, Ser. A, 1985, 28:1261-1277.
  • 9Liang H. Y., Gan S. X., Ren Y. F., Type of Banach space and complete convergence for sums of B-valued random elements sequences, Acta Mathematica Sinica, Chinese Series, 1997, 40(3): 449-456.
  • 10Su C., Tong T. J., Almost sure convergence of the general Jamision weighted sum of B-valued random variables, Acta Mathematical Sinica, English Series, 2004, 20(1): 181-192.

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数学学报（中文版）
2009年 第4期

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