Almost sure central limit theorem for the maxima and sums of stationary Gaussian sequences |
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| Authors: | Zhongquan Tan Yuebao Wang |
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| Affiliation: | aSchool of Mathematical Science, Soochow University, Suzhou 215006, PR China;bDepartment of Mathematics, Zunyi Normal College, Zunyi 563002, PR China |
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| Abstract: | In this paper, we proved an almost sure central limit theorem for the maxima (after centered at the sample mean) and the partial sums of standardized stationary Gaussian sequences under some conditions related to the convergence rate of covariance functions, which extended the existing results. |
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| Keywords: | AMS 2000 subject classifications: primary, 60F15 secondary, 60F05 |
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