| $\widetilde{\rho}$混合序列的矩不等式与完全收敛性 |
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| 引用本文： | 蔡光辉.$\widetilde{\rho}$混合序列的矩不等式与完全收敛性[J].系统科学与数学,2008,28(2):251-256. |
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| 作者姓名： | 蔡光辉 |
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| 作者单位： | 浙江工商大学统计与数学学院, 杭州 310035 |
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| 摘 要： | 给出一类较广泛的$\widetilde{\rho}$ 混合序列的矩不等式. 讨论了$\widetilde{\rho}$ 混合序列的完全收敛性, 所得的结果改进了相关文献中的结果,并得到了完全收敛速度与矩条件之间的等价关系.
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| 关 键 词： | $\widetilde{\rho}$ 混合序列 矩不等式 完全收敛性. |
| 收稿时间： | 2004-4-29 |
| 修稿时间： | 2005-6-8 |
Moment Inequality and Complete Convergence of $\widetilde{\rho}$Mixing Sequences |
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| CAI Guanghui.Moment Inequality and Complete Convergence of $\widetilde{\rho}$Mixing Sequences[J].Journal of Systems Science and Mathematical Sciences,2008,28(2):251-256. |
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| Authors: | CAI Guanghui |
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| Institution: | College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310035 |
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| Abstract: | A kind of more general moment inequalities of $\widetilde{\rho}$ mixing sequences are given. Complete convergences of $\widetilde{\rho}$ mixingsequences are investigated. The results obtained improve the previous results. The equivalent relationship between rates of complete convergence and moment condition is also set up. |
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| Keywords: | $\widetilde{\rho}$ mixing sequences moment inequality complete convergence |
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