引用本文: |
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胡光辉,吴群英,居先祥.φ混合序列的几乎处处收敛性[J].广西科学,2008,15(2):128-130,137. [点击复制]
- HU Guang-hui,WU Qun-ying,JU Xian-xiang.Almost Sure Convergence for φ Mixing Random Variable Sequences[J].Guangxi Sciences,2008,15(2):128-130,137. [点击复制]
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摘要: |
讨论~h混合序列级数的收敛性,得到~h混合序列的几个几乎处处收敛定理,把文献[2]中~d混合序列的相关收敛性质推广到~h混合序列. |
关键词: ~h混合序列 几乎处处收敛 三级数定理 |
DOI: |
投稿时间:2007-08-06修订日期:2008-01-08 |
基金项目:国家自然科学基金项目(10661006)资助 |
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Almost Sure Convergence for φ Mixing Random Variable Sequences |
HU Guang-hui, WU Qun-ying, JU Xian-xiang
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(Department of Mathematics and Physics, Guilin Institute of Technology, Guilin, Guangxi, 541004, China) |
Abstract: |
Initially, the studying of the Kolmogorov-type inequality of ~h-mixing random variable sequences illiminates us to discuss almost the sure convergences and obtain the three series theorem, and extend the corresponding results of ~d-mixing random variable sequences of reference[2]. |
Key words: ~h mixing random variable sequences almost sure convergences three series theorem |