研究了高斯序列最大值的几乎处处收敛性,获得平稳高斯序列最大值的几乎处处中心极限定理( almost sure central limit theorem,ASCLT),优化了ASCLT的权重,获得的结果推广了Csáki和Gonchigdanzan(2002)在对数平均下平稳高斯序列最大值的ASCLT。
Consider maximum Gaussian sequences almost sure convergence. An almost sure limit theorem is obtained for the maximum of stationary Gaussian sequences with optimized weight( ASCLT). The results generalize Csáki and Gonchigdanzan(2002)on the almost sure limit theorem for the maximum of stationary Gaussian sequences with loga-rithmic mean.