Almost sure central limit theorem for the maxima and sums of stationary Gaussian sequences

作者：Tan Zhongquan; Wang Yuebao^*

来源：Journal of the Korean Statistical Society, 2011, 40(3): 347-355.

DOI：10.1016/j.jkss.2010.12.005

• Almost sure central limit theorem
• Partial sums
• Maxima
• Stationary Gaussian sequences

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.

• 出版日期2011-9
• 单位苏州大学