AANA序列的强大数定律和强收敛速度  

Strong law of large numbers and strong convergence rate for AANA sequence

作　　者：陈志勇[1] 刘婷婷[1] 陈烛蔷[1] 王学军[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《合肥工业大学学报（自然科学版）》2012年第12期1725-1728,共4页Journal of Hefei University of Technology：Natural Science

基　　金：安徽大学创新团队基金资助项目(KJTD001B);国家级大学生创新训练资助项目(2012003)

摘　　要：针对相依序列的强大数定律研究,特别是其强收敛速度的研究受到许多学者的关注。文章研究了比NA序列要弱的AANA序列部分和强大数定律,并给出了其收敛速度和上确界的可积性;给出了NA序列的部分和强大数定律、收敛速度及上确界可积性等结果。The strong law of large numbers of dependent sequence, especially the strong convergence rate of it has been paid much attention. In this paper, the strong law of large numbers, the strong convergence rate and the integrability of supremum for the partial sums of AANA sequence are stud- ied, which is weaker than NA sequence. As an application, the strong law of large numbers, the strong convergence rate and the integrability of supremum for the partial sums of NA sequence are investigated.

关 键 词：AANA序列 NA序列 强大数律 收敛速度 

分 类 号：O211.1[理学—概率论与数理统计]