数学物理学报（英文版）
數學物理學報（英文版）
수학물이학보（영문판）
ACTA MATHEMATICA SCIENTIA
2014年
2期
301-312
,共12页
Asymptotic property%rate of convergence%complete moment convergence%NA sequence
It is well-known that the complete convergence theorem for i.i.d. random vari-ables has been an active topic since the famous work done by Hsu and Robbins [6]. Chow [4] obtained a moment version of Hsu and Robbins series. However, the series tends to infinity whenever?goes to zero, so it is of interest to investigate the asymptotic behavior of the series as ? goes to zero. This note gives some limit theorems of the series generated by moments for NA random variables.
