| 摘要: |
| 通过讨论下鞅差序列的广义Jamison型加权和的几乎处处收敛性,获得了比独立情形还强的Jamison定理和Marcinkiewicz强大数律,推广和改进了这两个定理. |
| 关键词: 下鞅差序列 广义Jamison型加权和 几乎处处收敛 Jamison定理 Marcin kiewicz强大数律 |
| DOI： |
| 投稿时间：2000-08-10修订日期：2000-12-06 |
| 基金项目:广西自然科学基金资助项目(桂科青9912008)。 |
|
| Almost Sure Convergence Properties of Submartingale Difference Random Sequences |
|
Wu Qunying
|
| (Dept. of Basic Sci., Guilin Institute of Technology, 12 Jianganlu, Guilin, Guangxi, 541004, China) |
| 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. |
| Key words: submartingale difference random sequence general Jamison weighted sums almost sure convergence Jamison theorem Marcinkiewicz strong law of large number |
