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| 摘要: |
| 本文研究了可积随机适应序列强收敛定理的问题.利用构造截尾停时以及鞅差序列的方法,获得了一类任意积随机适应序列的强收敛定理,推广了若干已知的结果. |
| 关键词: 强收敛定理 鞅差序列 强大数定律 |
| DOI： |
| 分类号:O211.4 |
| 基金项目:国家自然科学基金资助(11071104). |
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| A CLASS OF STRONG CONVERGENCE THEOREMS FOR THE INTEGRABLE SEQUENCE OF ARBITRARY RANDOM VARIABLES |
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TAO Lin-ling,YANG Wei-guo,CHENG Xiao-jun
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| Abstract: |
| In this paper, the strong convergence theorems for the integrable sequence of arbitrary random variables are studied. By using the methods of constructing censored stopping time and martingale difference sequences, we obtain a class of strong convergence theorems for the integrable sequence of arbitrary random variables. As corollaries, which generalize some known results. |
| Key words: strong convergence theorems martingale difference sequence strong law of large numbers |
