THE COMPLETE CONVERGENCE FOR PARTIAL SUMS OF IID RANDOM VARIABLES

被引：0

作者：

白志东

苏淳

机构：

[1] Anhui

[2] University of Science and Technology of China

[3] Hefei

来源：

Science China Mathematics | 1985年 / 12期

关键词：

THE COMPLETE CONVERGENCE FOR PARTIAL SUMS OF IID RANDOM VARIABLES;

D O I：

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学科分类号：

摘要：

In this paper, by using the equivalence of the a. s. convergence and the convergence in probability for the partial sums of independent random variables, we improved and strengthened a series of Katz and Baum’s results which are some necessary and sufficient conditions about the complete convergence for the partial sums of iid random variables. On the above basis, we got ideal conditions and results about the complete convergence for the random selected partial sums of lid random variables.

引用

页码：1261 / 1277

页数：17