International Journal of Mathematics and Mathematical Sciences
Volume 29 (2002), Issue 3, Pages 125-131
doi:10.1155/S0161171202011626

Almost sure central limit theorems for strongly mixing and associated random variables

Abstract

We prove an almost sure central limit theorem (ASCLT) for strongly mixing sequence of random variables with a slightly slow mixing rate α(n)=O((loglogn)−1−δ). We also show that ASCLT holds for an associated sequence of random variables without a stationarity assumption.