NA序列部分和之和一阶矩收敛的精确渐近性  

Precise Asymptotics in the First Moment Convergence for Sum of Partial Sums of NA Sequences

作　　者：邹广玉[1] 

机构地区：[1]长春工程学院理学院,吉林长春130012

出　　处：《烟台大学学报（自然科学与工程版）》2015年第3期165-168,共4页Journal of Yantai University(Natural Science and Engineering Edition)

基　　金：国家自然科学基金资助项目(11401090);吉林省教育厅重点项目(120120113);长春工程学院青年基金项目(320130019)

摘　　要：随机变量的部分和之和在诸多领域有着广泛应用,关于NA序列的部分和之和取得了许多极限性质.在较弱的矩条件下,利用NA序列部分和之和的渐近分布和二阶矩的稳定性质,得到了平稳NA序列部分和之和的一阶矩收敛的精确渐近性,丰富了NA序列部分和之和极限理论的结果.The sum of partial sums of random variables is extensively applied in many fields and lots of limit proper- ties are obtained for sum of partial sums of NA sequences. Under weaker moment condition, applying the asymptot- ic distribution and stable property of second moment for sum of partial sums of NA sequences, we obtain the precise asymptotics in first moment convergence for sum of partial sums of stationary NA sequences, which enriches the re- sults of limit theorem for sum of partial sums of NA sequences.

关 键 词：NA序列 部分和之和 矩完全收敛性 精确渐近性 

分 类 号：O211.4[理学—概率论与数理统计]