Almost sure asymptotics for extremes of non-stationary Gaussian random fields

作者：Tan Zhongquan; Wang Yuebao^*

来源：Chinese Annals of Mathematics Series B, 2014, 35(1): 125-138.

DOI：10.1007/s11401-013-0810-z

• Almost sure limit theorem
• Extremes
• Gaussian random fields
• Non-stationary

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.

• 出版日期2014-1
• 单位嘉兴学院; 苏州大学