A Limit Theorem for the Moment of Self-Normalized Sums

Let {X,Xn;n<1} be a sequence of independent and identically distributed ( i.i.d.) random variables and X is in the domain of attraction of the normal law and EX=0. For 1≤p>2,b<−1, we prove the precise asymptotics in Davis law of large numbers for &#872...

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Bibliographic Details
Main Author: Qing-pei Zang
Format: Article
Language:English
Published: SpringerOpen 2009-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2009/957056