| 下鞅差序列的几乎处处收敛性 |
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| 引用本文： | 吴群英. 下鞅差序列的几乎处处收敛性[J]. 广西科学, 2001, 8(2): 81-83 |
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| 作者姓名： | 吴群英 |
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| 作者单位： | 桂林工学院基础部 |
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| 基金项目： | 广西自然科学基金资助项目!(桂科青 9912 0 0 8) |
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| 摘 要： | 通过讨论了下鞅差序列的广义Jamison型加权和的几乎处处收敛，获得了比独立情形还强的Jamison定理的Marcinkiewicz强大数律，推广和改进了这两个定理。
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| 关 键 词： | 下鞅差序列 广义Jamison型加权和 几乎处处收敛 Jamison定理 Marcinkiewicz强大数律 |
| 收稿时间： | 2000-08-10 |
| 修稿时间： | 2000-08-10 |
Almost Sure Convergence Properties of Submartingale Difference Random Sequences |
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| Wu Qunying. Almost Sure Convergence Properties of Submartingale Difference Random Sequences[J]. Guangxi Sciences, 2001, 8(2): 81-83 |
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| Authors: | Wu Qunying |
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| Affiliation: | Dept. of Basic Sci., Guilin Institute of Technology, 12 Jianganlu, Guilin, Guangxi, 541004, China |
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| Abstract: | The almost sure convergence properties of general Jamison weighted sums of submartingale difference random sequencesis was discussed. The results obtained are better than those of the independent case, extend and improve the famous Jamison theorem and Marcinkiewicz strong law of large number. |
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| Keywords: | submartingale difference random sequence general Jamison weighted sums almost sure convergence Jamison theorem Marcinkiewicz strong law of large number |
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