光滑平稳高斯过程极值几乎处处极限定理的一个推广（英文）

AN EXTENSION OF THE ALMOST SURE LIMIT THEOREM FOR THE MAXIMA OF SMOOTH STATIONARY GAUSSIAN PROCESS

本文研究了连续均方可微的平稳高斯过程的极限性态.通过选择一个不同于Tan(2013)的权重函数,在较弱的条件下得到了连续均方可微平稳高斯过程极值的一个几乎必然仅限定理,推广了Tan(2013)的结论.

In this paper,we study the limit behavior for the maxima of continuous mean square differentiable stationary Gaussian process.Using a different weight function from that in Tan（2013）,we obtain an almost sure limit theorem for the maxima of continuous mean square differentiable stationary Gaussian process under some mild conditions,which expands the corresponding results in Tan（2013）.