| β混合随机变量序列加权和的收敛性 |
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| 引用本文： | 邱德华,甘师信.β混合随机变量序列加权和的收敛性[J].数学杂志,2008,28(3). |
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| 作者姓名： | 邱德华 甘师信 |
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| 摘 要： | 本文研究了混合随机变量序列加权和的收敛性.利用Utev, S.和Peligrad, M不等式得到了混合随机变量序列加权和的收敛性定理及Hajeck-Rènyi型不等式,推广和改进了W.F,Stout,吴群英,J.Hajeck和A.Rènyi.的相应结论.
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| 关 键 词： | 混合 收敛性 Hājeck-Rènyi不等式 -mixing convergence Hājeck-Rènyi inequality 混合 随机变量序列 加权 收敛性定理 WEIGHTED SUMS CONVERGENCE SEQUENCES RANDOM VARIABLE extend improve results means inequality theorems study convergence weighted sums random variable sequences paper |
CONVERGENCE FOR WEIGHTED SUMS OF β-MIXING RANDOM VARIABLE SEQUENCES |
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| QIU De-hua,GAN Shi-xin.CONVERGENCE FOR WEIGHTED SUMS OF β-MIXING RANDOM VARIABLE SEQUENCES[J].Journal of Mathematics,2008,28(3). |
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| Authors: | QIU De-hua GAN Shi-xin |
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| Abstract: | In this paper, we study the convergence for weighted sums of -mixing random variable sequences. Convergenct theorems and the Hàjeck-Rènyi inequality for -mixing random variable sequences are obtained by means of inequality of Utev, S.and Peligrad, M. These results extend and improve the corresponding results of W.F. Stout (1974), Q. Wu (2002) and J. Hàjeck, A. Rènyi.(1955). |
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| Keywords: | -mixing convergence Hājeck-Rènyi inequality |
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