关键词: 随机元序列； 随机函数； 几乎处处中心极限定理

Abstract:

The authors discussed almost sure central limit theorem for the sequence of random element and functions of random variables, extended the weight to the classics almost sure central limit theorem, and improved the method of traditional subsection summation for the proof of almost sure center limit theorem.

Key words: sequence of random element, function of random variables, almost sure central limit theorem