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Chung’s functional law of the iterated logarithm for the Brownian sheet |
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| Authors: | Yonghong LIU Ting ZHANG Yiheng TANG |
| Affiliation: | Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, China |
| Abstract: | In this paper, we investigate functional limit problem for path of a Brownian sheet, Chung's functional law of the iterated logarithm for a Brownian sheet is obtained. The main tool in the proof is large deviation and small deviation for a Brownian sheet. |
| Keywords: | Brownian sheet Chung's functional law of the iterated logarithm |
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