关键词: NA random variable, maximum partial sum, complete convergence, convergence in probability

Abstract:

Let {X_ni, 1≤ n,i<∞} be an array of rowwise NA random variables and
{a_n,n≥1} a sequence of constants with 0_n^↑∞. The limiting behavior of maximum partial sums $\frac{1}{a_n}\max\limits_{1\leq k\leq n}|\sum\limits^k_{i=1}X_{ni}|$ is investigated and some new results are obtained. The results extend and improve the corresponding theorems of rowwise independent random variable arrays by Hu and Taylor [1] and
Hu and Chang [2].

Key words: NA random variable, maximum partial sum, complete convergence, convergence in probability