| 关于任意随机可积序列的一个强收敛定理 |
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| 引用本文： | 陶林零,杨卫国,程小军.关于任意随机可积序列的一个强收敛定理[J].数学杂志,2014,34(1):145-150. |
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| 作者姓名： | 陶林零 杨卫国 程小军 |
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| 作者单位： | 江苏大学理学院 |
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| 基金项目： | 国家自然科学基金资助(11071104) |
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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.
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| 关 键 词： | 强收敛定理 鞅差序列 强大数定律 |
| 收稿时间： | 2011/11/30 0:00:00 |
| 修稿时间： | 2012/4/11 0:00:00 |
A CLASS OF STRONG CONVERGENCE THEOREMS FOR THE INTEGRABLE SEQUENCE OF ARBITRARY RANDOM VARIABLES |
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| TAO Lin-ling,YANG Wei-guo and CHENG Xiao-jun.A CLASS OF STRONG CONVERGENCE THEOREMS FOR THE INTEGRABLE SEQUENCE OF ARBITRARY RANDOM VARIABLES[J].Journal of Mathematics,2014,34(1):145-150. |
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| Authors: | TAO Lin-ling YANG Wei-guo and CHENG Xiao-jun |
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| Institution: | TAO Lin-ling;YANG Wei-guo;CHENG Xiao-jun;Faculty of Science,Jiangsu University; |
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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. |
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| Keywords: | strong convergence theorems martingale difference sequence strong law of large numbers |
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