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

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。

Abstract: 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.