关于ρ-混合序列对数律的收敛速度  

On the Convergence Rates in the Law of Iterated Logarithm of ρ-mixing Sequences

作　　者：姜德元[1] 

机构地区：[1]浙江大学数学系,浙江杭州310028

出　　处：《应用数学》2002年第3期32-37,共6页Mathematica Applicata

摘　　要：本文研究了 ρ 混合序列对数律的收敛速度 ,在较弱的矩条件下得到了与独立同分布实随机变量类似的结果 ,并获得了 ρ 混合序列满足对数律的一个充分性结果 ;讨论了 ρ 混合序列重对数律的收敛速度的问题 ,得到了一个重对数律的充分性条件 .In this paper, the convergence rates in the law of logarithm of the ρ mixing random variables are discussed, and under some conditions that are not strong, some similar results as in \ and \ are obtained. As a corollary, a sufficient condition for the law of logarithm of ρ mixing is obtained. What's more, the convergence rates in the law of iterated logarithm are also discussed and a sufficient conclusion for the law of iterated logarithm is obtained.

关 键 词：Ρ-混合序列 对数律 重对数律 收敛速度 

分 类 号：O211.4[理学—概率论与数理统计]