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B值行独立的随机元阵列的收敛性

On Convergence for Arrays of Rowwise Independent B-valued Random Elements
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摘要 {X_(ni)}是行独立的B值随机元阵列,在适当的条件下,证明了1/(n^(1/p)sum from i=1 to n(X_(ni)L)收敛于零,完全收敛于零,几乎处处收敛于零,依概率收敛于零是等价的。 Abstract; Let {Xni} be an arrays of rowwise independent B-valued random elements, under some conditions for the arrays, it is shown that L converges to 0, converges to 0 completely , converges to 0 almost every where., converges to 0 in probability are equivalent.
出处 《衡阳师范学院学报》 2002年第6期4-7,共4页 Journal of Hengyang Normal University
关键词 行独立 L收敛 完全收敛 几乎处处收敛 依概率收敛 Banach值随机元阵列 BANACH空间 Banach space Banach space valued random element. L convergence complete convergence almost sure convergence convergence in probability
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参考文献4

  • 1Hu, T.C., Moricz, F., and Taylor, R.L. Strong laws of large numbers for arrays of rowwise independent random variables [J]. Acta Math. Hung.1989, 54 (1-2): 153-162.
  • 2S. H. Song. complete convergence for weighted saws of arrays of rowwise independent B-valued random variables [J]. Stochastic analysis and applications, 1997, 15 (2): 255-267.
  • 3D Acosta, A.. inequalities for B-valued random vectors with applications to the strong law of large numbers [J]. Ann probab, 1981, 9, 157-161.
  • 4Taylor, R.L. , Hu, T.C. strong laws of large numbers for arrays of rowwise independent random elements [J]. Internat Math. Math. Sci. 1987, 10(4): 805-814.

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