关键词: 几乎处处中心极限定理, 加权和, α弱相依, 非平稳序列

Abstract:

By the weak convergence theorem of the weighted sums of random variances and via Borel-Cantelli lemma under some suitable conditions, we discussed the almost sure central limit theorem for weighted sums S_n,n of nonstationary bounded α-weak dependence random variances.

Key words:  almost sure central limit theorem, weighted sums, α-weak dependence, nonstationary sequence