独立随机变量的随机和的中心极限定理

CENTRAL LIMIT THEOREM FOR RANDOM SUMS OF I.I.D.RADNOM VARIABLES

讨论独立同分布随机变量序列的随机和的极限定理．并把Donsker原理和Lindeberg-Levy中心极限定理推广到随机和的情形。

In this paper,the central limit theorem for random sums of I. I. D. random variables is studied, and the Donsker's theorem and Lindeberg-Levy's central limit theorem are extended to ran-dom sums of I. I. D. random variables.