Precise Asymptotics for the Complete Moment of Self-Normalized Partial Sums

Zang Qingpei1,2 Fu Keang3 Yang Weiguo1(1Faculty of Science,Jiangsu University,Zhenjiang,212013)(2School of Mathematical Science,Huaiyin Normal University,Huaian,223300)(3School of Statistics and Mathematics,Zhejiang Gongshang University,Hangzhou,310018)  

Let {X,Xn;n≥1} be a sequence of independent and identically distributed random variables.In this paper,we prove the precise asymptotics for the complete moment of self-normalized partial sums if X belongs to the domain of attraction of the normal law and EX=0.

【Fund】： supported by National Natural Science Foundation of China(10671176 10771192)
【CateGory Index】： O211.5

Download(CAJ format) Download(PDF format)

CAJViewer7.0 supports all the CNKI file formats; AdobeReader only supports the PDF format.