相协序列的几乎处处中心极限定理的一种新证法  

A New Proof Method for an Almost Sure Central Limit Theorem of Associated Sequences

作　　者：宋海龙[1] 赵联文[1] 付娟[1] 陈勇[1] 

机构地区：[1]西南交通大学数学学院,四川成都610031

出　　处：《西华大学学报（自然科学版）》2013年第3期42-44,共3页Journal of Xihua University:Natural Science Edition

基　　金：中央高校基本科研业务费专项资金(SWJTU11CX155)

摘　　要：几乎处处中心极限定理最早分别由Brosamler和Schatte独立提出并研究,相协序列的几乎处处中心极限定理已经用子序列的方法得到证明,本文利用相协序列的Hajek-Renyi型不等式给出了该定理的一种新证法。An almost sure central limit theorem was first independently proposed and studied by Brosamler and Schatte. The almost sure central limit theorem for associated sequences was proved via sub-sequence method, the authors developed a new method to prove the almost sure central limit theorem for associated sequences with Hajek-Renyi type inequality.

关 键 词：几乎处处中心极限定理 相协序列 Hajek—Renyi型不等式 

分 类 号：O211.4[理学—概率论与数理统计]