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

作　　者：何其慧 HE Qi-hui(Department of public education,Anhui Finance and Trade Vocational College,Hefei 230601,China)

机构地区：[1]安徽财贸职业学院公共教学部,安徽合肥230601

出　　处：《通化师范学院学报》2023年第2期12-18,共7页Journal of Tonghua Normal University

摘　　要：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.

关 键 词：几乎必然收敛 完全收敛 完全矩收敛 完全f-矩收敛 m-渐近负相协 

分 类 号：O211.4[理学—概率论与数理统计]