负相协随机变量列尾和的重对数律

Laws of the Iterated Logarithm for the Tail Sum of NA Random Variables

设{X_n,n≥1}为负相协随机变量序列,S=sum from n=1 to∞X_n收敛,本文讨论了部分和S_n=sum from k=1 to n-1 X_k→S的收敛速度,获得了关于尾和U_n=S-S_n的重对数律。

Let {Xn,n≥1） be a sequence of NA random variables, and assume that S=∞↑∑↓（n=1） Xn to S as converges a.s.. We investigate the rate of convergence of the partial sums Sn=（n-1）↑∑↓（k=1） Xk→S, obtain some results for laws of the iterated logarithm for the NA tail sum Un = S - Sn.