Ӧ�ø���ͳ�� 2010, 26(6) 637-648 DOI:      ISSN: 1001-4268 CN: 31-1256

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Some New Results for Weakly Dependent Random Variable Sequences
Wang Xuejun,Hu Shuhe,Shen Yan,Yang Wenzhi
Anhui University
Abstract:

Let $\{X_n,n\geq1\}$ be a $\wt{\rho}$-mixing
random variable sequence. By using the truncation method of random
variables and three series theorem of $\wt{\rho}$-mixing sequence,
the convergence properties of $\wt{\rho}$-mixing sequence are
discussed, and a class of strong limit theorems for
$\wt{\rho}$-mixing sequence are obtained, which generalize the
corresponding results of independent sequence. At last, the strong
stability for weighted sums of $\wt{\rho}$-mixing sequence is
studied

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