| 一类随机适应序列部分和的局部极限定理的一个注记 |
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| 引用本文： | 薛秀梅,杨卫国.一类随机适应序列部分和的局部极限定理的一个注记[J].纯粹数学与应用数学,2013(2):172-178. |
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| 作者姓名： | 薛秀梅 杨卫国 |
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| 作者单位： | 江苏大学理学院,江苏镇江212013 |
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| 基金项目： | 国家自然科学基金（11071104）. |
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| 摘 要： | 研究了一类随机适应序列的强极限定理，推广了最近发表的几个结果，并进一步推广了Borel—Cantelli引理．
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| 关 键 词： | 瞄机适应序列 局部极限定理 鞅 |
A limit theorem for partial sums of stochastic adapted sequences and its applications |
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| Xue Xiumei,Yang Weiguo.A limit theorem for partial sums of stochastic adapted sequences and its applications[J].Pure and Applied Mathematics,2013(2):172-178. |
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| Authors: | Xue Xiumei Yang Weiguo |
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| Institution: | (Faculty of Science, Jiangsu University, Zhenjiang 212013, China) |
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| Abstract: | In this paper we establish a new limit theorem for partial sums of arbitrary stochastic adapted sequences which extend some new published results.As corollaries, we generalize the Borel-Cantelli lemma. |
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| Keywords: | stochastic adapted sequence local convergence theorem martingale |
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