| 引用本文： |
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鄢寒,吴群英,孟兵.ρ-——混合序列加权和的完全收敛性和强收敛性[J].广西科学,2009,16(1):38-40,45. [点击复制]
- YAN Han,WU Qun-ying,MENG Bing.Complete Convergence and Strong Convergence for Weighted Sums of ρ-——Mixing Random Sequences[J].Guangxi Sciences,2009,16(1):38-40,45. [点击复制]
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| 摘要: |
| 给出d--混合序列加权和完全收敛和强收敛的充分条件,所得结果推广了Stout和Thrum定理. |
| 关键词: d--混合序列 加权和 完全收敛 强收敛 |
| DOI： |
| 投稿时间：2008-06-03 |
| 基金项目:Supported by the National Natural Science Foundation of China (No:10661006);the Support Program of the New Centuary Guangxi Ten-hundred-thousand Talents Project (2005214) |
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| Complete Convergence and Strong Convergence for Weighted Sums of ρ-——Mixing Random Sequences |
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YAN Han, WU Qun-ying, MENG Bing
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| (Department of Mathematics and Physics, Guilin University of Technology, Guilin, Guangxi, 541004, China) |
| Abstract: |
| Some sufficient conditions of the complete convergence and strong convergence for weighted sums of d--mixing random sequences are established.The results obtained extend the theorems of Stout and Thrum. |
| Key words: d--mixing random sequences weighted sums complete convergence strong convergence |
