| Wiener过程下等间距分段加权和的levy连续模定理 |
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| 引用本文： | 王斌,沈照煊.Wiener过程下等间距分段加权和的levy连续模定理[J].安徽教育学院学报,2006,24(3):10-14. |
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| 作者姓名： | 王斌 沈照煊 |
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| 作者单位： | 安徽大学数学与计算科学学院,安徽,合肥,230039 |
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| 摘 要： | 连续模定理是讨论wiener过程的增量有多大,由它可推出关于wiener过程的强大数律与重对数律,而Levy连续模定理是wiener过程的一个重要结论,文章进一步推广著名的levy连续模定理.
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| 关 键 词： | wiener过程 levy连续模定理 B-C引理 |
| 文章编号： | 1001-5116（2006）03-0010-05 |
| 收稿时间： | 2005-12-20 |
| 修稿时间： | 2005年12月20日 |
The Levy's Modulus of Continuity under the Context of Wiener Process of Equidistance |
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| WANG Bing,SHEN Zhao-xuan.The Levy''''s Modulus of Continuity under the Context of Wiener Process of Equidistance[J].Journal of Anhui Institute of Education,2006,24(3):10-14. |
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| Authors: | WANG Bing SHEN Zhao-xuan |
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| Institution: | School of Mathematics and Computation Science, Anhui University, Hef ei , 230039,China |
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| Abstract: | The modulus of continuity of the wiener process is an important result on probability theory and has extensive application. We extend the modulus of continuity to the condition of weighted sum that avera- ges interval segments about normal wiener process and obtain theorem of the modulus of continuity of levy under the condition weighted sum that averages interval segments about normal wiener process. |
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| Keywords: | Wiener Process the modulus of continuity of levy B-C lemma |
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