| 一维Wiener sausage长度的中偏差和重对数律 |
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| 引用本文： | 王艳清.一维Wiener sausage长度的中偏差和重对数律[J].数学杂志,2007,27(5):529-533. |
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| 作者姓名： | 王艳清 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 摘 要： | 本文研究一维Wiener sausage.利用布朗运动的相关性质和收缩原理,得到p个Wiener sausage相交部分长度的中偏差和重对数律.
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| 关 键 词： | 布朗运动 中偏差 小球估计 重对数律 |
| 文章编号： | 0255-7797（2007）05-0529-05 |
| 修稿时间： | 2005-04-282006-04-29 |
MODERATE DEVIATIONS AND LAW OF THE ITERATED LOGARITHM FOR THE LENGTH OF ONE-DIMENSIONAL WIENER SAUSAGE |
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| WANG Yan-qing.MODERATE DEVIATIONS AND LAW OF THE ITERATED LOGARITHM FOR THE LENGTH OF ONE-DIMENSIONAL WIENER SAUSAGE[J].Journal of Mathematics,2007,27(5):529-533. |
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| Authors: | WANG Yan-qing |
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| Institution: | School of Math. and Statistics, Wuhan University, Wuhan 430072, China |
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| Abstract: | In this paper, we study one-dimensional Wiener sausage. Using the property of Brownian motion and the contraction principle , we get moderate deviations and law of the iterated logarithm for the length of intersection of p one-dimensional Wiener sausages. |
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| Keywords: | Wiener sausage Wiener sausage Brownisn motion moderate deviation small deviation law of the iterated logarithm |
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