【摘要】 设{X_ni:1≤i≤n,n≥1}为行间NA阵列,g（x）是R⁺上指数为α的正则变化函数,r>0,m为正整数,{a_ni:1≤i≤n,n≥1}为满足条件（?）|a_ni|=O（（g（n））¹）的实数阵列,本文得到了使sum from n=1 to ∞n^r-1Pr(|■multiply from j=1 to m a_nij X_nij|>ε)<∞,■ε>0成立的条件,推广并改进了Stout及王岳宝和苏淳等的结论。更多还原

【Abstract】 Let {X_ni: 1≤i≤n, n≥1} be an array of rowwise NA random variables, and let g（x） be a regular function with index α. Let {a_ni: 1≤i≤n, n≥1} be an array of real numbers satisfying ■|a_ni|=O(（g（n））^-1). Let r>0, and let m be a positive integer. A set of sufficient conditions such that sum from n=1 to ∞ n^r-1 Pr(|■multiply from j=1 to m a_nij X_nij|>ε)<∞, ■ε>0 are obtained. The well-known results by Stout and Wang are extended.更多还原