m-渐近负相协变量的若干强收敛性质

Several Strong Convergence Properties for m-Asymptotically Negatively Associated Sequences

主要研究m-渐近负相协变量的若干强收敛性质.利用m-渐近负相协变量的极大值矩不等式建立其加权和的完全收敛性,进而得到几乎必然收敛性,并且在同样的条件下得到了更强的完全矩收敛性和完全f-矩收敛性,所得结果推广并改进了已有诸多文献的结果 .

This paper mainly investigates some strong convergence properties for m-asymptotically negatively associated sequences. The result on complete convergence of weighted sums is established by the maximum moment inequality of m-asymptotically negatively associated random variables and hence the almost sure convergence is obtained. Under the same conditions,the results on complete moment convergence and complete f-moment convergence, which are much stronger than complete convergence,are also established. These results extend and improve many corresponding ones in the literature.