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Almost Sure Asymptotics for Extremes of Non-stationary Gaussian Random Fields |
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| Authors: | Zhongquan TAN and Yuebao WANG |
| Institution: | 1. School of Mathematical Sciences, Soochow University, Suzhou, 215006, Jiangsu, China 2. College of Mathematics, Physics and Information Engineering, Jiaxing University, Jiaxing, 314001, Zhejiang, China |
| Abstract: | In this paper, the authors prove an almost sure limit theorem for the maxima of non-stationary Gaussian random fields under some mild conditions related to the covariance functions of the Gaussian fields. As the by-products, the authors also obtain several weak convergence results which extended the existing results. |
| Keywords: | Almost sure limit theorem Extremes Gaussian random fields Non-stationary |
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