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| 摘要: |
| 利用随机变量的截尾方法和Doob鞅收敛定理，研究了任意随机变量序列的性质，得到了一类矩条件下任意随机变量序列的强极限定理，推广了与此相应的一些结果． |
| 关键词: 任意随机变量序列 强极限定理 Borel—Cantelli引理 Doob鞅收敛定理 截尾 Kronecker引理 |
| DOI： |
| 分类号:O211.4 |
| 基金项目:重庆市教委基金资助项目(编号:010702) |
|
| A generalization of strong limit theorems for sequences of arbitrary random variables |
|
袁德美' target='_blank'>YUAN De-mei
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| Abstract: |
| By using truncation methods of random variables and Doob martingale convergence theorem,the properties of sequence of arbitrary random variables are studied,a class of strong limit theorems for sequences of arbitrary random variables is obtained under mom |
| Key words: strong limit theorem,Borel-Cantelli lemma,Doob martingale convergence theorem,truncation,Kronecker lemma |
