| 摘要: |
| 本文研究了φ -混合序列加权和的矩完全收敛性.利用矩不等式和截尾的方法,获得了φ -混合序列加权和的矩完全收敛性的充分条件.所得结果推广了Ahmed等(2002)及陈平炎和王定成(2010)的结论. |
| 关键词: φ-混合 加权和 矩完全收敛性 完全收敛性 |
| DOI： |
| 分类号:O211.4 |
| 基金项目:Supported by National Natural Science Foundation of China (11271020 and 11201004), Key Project of Chinese Ministry of Education (211077); Anhui Provincial Natural Science Foundation (10040606Q30; 1208085MA11). |
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| COMPLETE MOMENT CONVERGENCE OF WEIGHTED SUMS FOR SEQUENCES OF φ-MIXING RANDOM VARIABLES |
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GUO Ming-le, WU Sheng-ping, XU Chun-yu
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School of Mathematics and Computer Science, Anhui Normal University, Wuhu 241003, China
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| Abstract: |
| The complete moment convergence of weighted sums for φ-mixing sequences is investigated. By using moment inequality and truncation method, the sufficient conditions for complete moment convergence of weighted sums for φ-mixing sequences are obtained, which generalize the corresponding results of Ahmed et al.(2002) and Chen and Wang (2010). |
| Key words: φ-mixing weighted sums complete moment convergence complete convergence |
