A Note on the Almost Sure Central Limit Theorem in the Joint Version for the Maxima and Partial Sums of Certain Stationary Gaussian Sequences  

作　　者：Yuanfang Wang Qunying Wu 

机构地区：[1]College of Science, Guilin University of Technology, Guilin, China

出　　处：《Applied Mathematics》2014年第10期1598-1608,共11页应用数学（英文）

摘　　要：Considering a sequence of standardized stationary Gaussian random variables, a universal result in the almost sure central limit theorem for maxima and partial sum is established. Our result generalizes and improves that on the almost sure central limit theory previously obtained by Marcin Dudzinski [1]. Our result reaches the optimal form.Considering a sequence of standardized stationary Gaussian random variables, a universal result in the almost sure central limit theorem for maxima and partial sum is established. Our result generalizes and improves that on the almost sure central limit theory previously obtained by Marcin Dudzinski [1]. Our result reaches the optimal form.

关 键 词：ALMOST Sure Central Limit Theorem STATIONARY GAUSSIAN Sequence Slowly Varying Functions at INFINITY 

分 类 号：O21[理学—概率论与数理统计]