An almost sure central limit theorem of products of partial sums for ρ - -mixing sequences

摘要

Let {X n , n ≥ 1} be a strictly stationary ρ--mixing sequence of positive random variables with EX1 = μ > 0 and Var(X1) = σ2 k , Y i = X i - μ σ , F ( x ) is the distribution function of the random variable e 2 N , and N is a standard normal random variable. MR(2000) Subject Classification: 60F15.