随机函数乘积的几乎处处中心极限定理

An Almost Sure Central Limit Theorem for the Product of Random Functions

利用ρ-混合序列部分和乘积的几乎处处中心极限定理,给出了一类随机函数(统计量)乘积的几乎处处中心极限定理,推广了独立情形的结论。

Applying the almost sure central limit theorem for the product of partial sums of p- mixing sequences, analmost sure central limit theorem for the product of a class of random functions（ or statistics） was obtained, which extendedthe result of the i. i. d case.