摘要
1 Main resultsSINCE the concept of complete convergence was raised by Hsu and Robbins （1947）, it has at- tracted much attention. The general results were proved by Baum and Katz （1965）: if{X<sub>n</sub>,n≥1} is a sequence of i. i. d. random variables with EX<sub>n</sub>=0 E|X<sub>1</sub>|<sup>p</sup>【∞, p≥1, 1≥α】
