烟台大学学报（自然科学与工程版）Issue(3)：165-168,4.DOI:10.13951/j.cnki.371213/n.2015.03.003
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
摘要
Abstract
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Key words
NA sequence/sum of partial sums/complete moment convergence/precise asymptotics分类
数理科学引用本文复制引用
邹广玉..NA序列部分和之和一阶矩收敛的精确渐近性[J].烟台大学学报（自然科学与工程版）,2015,(3):165-168,4.基金项目
国家自然科学基金资助项目(11401090) （11401090）
吉林省教育厅重点项目(120120113) （120120113）
长春工程学院青年基金项目(320130019) （320130019）
