On the Rates of the Other Law of the Logarithm  

作　　者：Li-Xin ZHANG You-You CHEN 

机构地区：[1]Department of Mathematics,Zhejiang University

出　　处：《Acta Mathematica Sinica,English Series》2012年第4期781-792,共12页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant No.10771192);Natural Science Foundation of Zhejiang Province(Grant No.J20091364)

摘　　要：Let X, X1, X2,… be i.i.d, random variables, and set Sn =X1＋…＋Xn,Mn=maxk≤n｜Sk｜,n≥1.Let an=o（√log n）.By using the strong approximation, we prove that, if EX = 0,Let X, X1, X2,… be i.i.d, random variables, and set Sn =X1＋…＋Xn,Mn=maxk≤n｜Sk｜,n≥1.Let an=o（√log n）.By using the strong approximation, we prove that, if EX = 0,

关 键 词：Complete convergence tail probabilities of sums of i.i.d random variables the other lawof the logarithm strong approximation 

分 类 号：O156[理学—数学]