两两NQD列部分和之和的弱大数定律

Weak law of large numbers for sum of partial sums of pairwise NQD sequences

部分和之和在实际问题如随机游动、时间序列分析、破产理论中有着广泛的应用.研究同分布和不同分布情况下,两两NQD随机变量序列部分和之和Tn=(sum from i=1 to n)Si的弱大数定律,其中Sn=(sum from i=1 to n)Xi,将两两NQD随机变量序列部分和的弱大数定律推广到了部分和之和的情形.

The sum of partial sums was extensively applied to mathematics and economics,such as random walk.In this paper,the weak law of large numbers for sum of partial sums of pairwise NQD sequences is discussed.Some results in the literature are improved and extended from the weak law of large numbers for partial sums of pairwise NQD sequences to that for the sum of partial sums case.