关键词: NA序列, 部分和之和乘积, 渐近分布, 精确渐近性

Abstract: Let {X_nn, n≥1} be a strictly stationary negatively associated (NA) sequence of positive random variables with EX₁=μ>0, and
 Var X₁=σ²<∞. Firstly, by using the central strong limit theorems and moment inequalities of weighted sums of NA sequence, 
where N is a standard normal random variable. Secondly, we give a general result of precise asymptotics in complete convergence for products of sums of partial sums of NA sequence for the boundary function and quasi weight function.

Key words: NA sequence, product of sums of partial sums, asymptotic distribution, precise asymptotics