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,
基金Supported by National Natural Science Foundation of China(Grant No.10771192)Natural Science Foundation of Zhejiang Province(Grant No.J20091364)
文摘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,