假设{Xn ,n≥1}为标准化非平稳高斯序列,在协方差和常数列{un,i ,1≤i ≤n,n≥1}满足适当的条件下,获得了最大值与部分和的几乎处处中心极限定理,并优化了臧庆佩所获得的结果。
Suppose {Xn ,n≥1}is a standardized non-stationary Gaussian sequence.The almost sure central limit theorem for maxima and partial sums is derived under some conditions on the covariance function and the constant sequence {un,i , 1≤i≤n,n≥1}.The result generalizes the one obtained by Zang Qing-pei.