| 部分和之和的弱不变原理 |
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| 引用本文： | 邹广玉.部分和之和的弱不变原理[J].长春工程学院学报(自然科学版),2015(1):12-13. |
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| 作者姓名： | 邹广玉 |
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| 作者单位： | 长春工程学院理学院,长春,130012 |
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| 基金项目： | 国家自然科学基金项目(11401090)吉林省教育厅重点资助项目(120120113)长春工程学院青年基金项目 |
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| 摘 要： | 利用独立同分布随机变量序列部分和的最大值不等式和极限性质，得到了独立同分布随机变量序列部分和之和的弱不变原理，丰富了部分和之和的渐近性质。
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| 关 键 词： | 部分和之和 弱不变原理 布朗运动 |
Weak invariance principle for the sum of partial sums |
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| ZOU Guang-yu.Weak invariance principle for the sum of partial sums[J].Journal of Changchun Institute of Technology(Natural Science Edition),2015(1):12-13. |
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| Authors: | ZOU Guang-yu |
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| Institution: | ZOU Guang-yu;School of Science,Changchun Institute of Technology; |
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| Abstract: | Applying the maximal inequality and some limit characters for partial sums of independent identi-cally distributed random variables,the author obtains the weak invariance principle for the sum of partial sums in independent identically distributed random variables,which enriches the asymptotic property for the sum of partial sums. |
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| Keywords: | sum of partial sums weak invariance principle Brownian motion |
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