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| Almost Sure Asymptotics for Extremes of Non-stationaryGaussian Random Fields? |
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Citation： |
Zhongquan TAN,Yuebao WANG.Almost Sure Asymptotics for Extremes of Non-stationaryGaussian Random Fields?[J].Chinese Annals of Mathematics B,2014,35(1):125~138 |
| Page view： 1832
Net amount： 1301 |
Authors： |
Zhongquan TAN; Yuebao WANG; |
Foundation： |
National Natural Science Foundation of China (No. 11071182). |
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| 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 |
Classification： |
60F05, 62G70 |
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