| 任意B值随机变量序列关于条件期望的一类强极限定理 |
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| 引用本文： | 袁德美.任意B值随机变量序列关于条件期望的一类强极限定理[J].数学杂志,2007,27(4):434-440. |
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| 作者姓名： | 袁德美 |
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| 作者单位： | 重庆工商大学理学院,重庆,400067 |
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| 摘 要： | 利用随机变量的截尾方法和条件三级数定理,研究任意B值随机变量序列的极限性质,得到了一类关于条件期望的强极限定理和鞅差序列收敛定理,推广了与此相应的一些结果和若干经典的强大数定律.
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| 关 键 词： | 截尾 条件三级数定理 条件H(o)lder不等式 强极限定理 强大数定律 鞅差序列 p阶光滑空间 |
| 文章编号： | 0255-7797（2007）04-0434-07 |
| 修稿时间： | 2005-05-092005-12-19 |
A CLASS OF STRONG LIMIT THEOREMS OF SEQUENCES OF ARBITRARY B-VALUED RANDOM VARIABLES RELATED TO CONDITIONAL EXPECTATIONS |
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| YUAN De-mei.A CLASS OF STRONG LIMIT THEOREMS OF SEQUENCES OF ARBITRARY B-VALUED RANDOM VARIABLES RELATED TO CONDITIONAL EXPECTATIONS[J].Journal of Mathematics,2007,27(4):434-440. |
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| Authors: | YUAN De-mei |
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| Institution: | College of Science, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | Some limit properties of sequences of arbitrary B-valued random variables are studied by using truncation methods of random variables and conditional three series theorem, a class of strong limit theorems and convergence theorems for martingale difference sequences related to the conditional expectations are obtained, and some conclusions corresponding to these and some classical strong laws of large numbers are generalized. |
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| Keywords: | truncation conditional three series theorem conditional HOlder inequality strong limit theorem~ strong law of large numbers martingale difference sequence p-smooth space |
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