Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 760735, 11 pages
Research Article

A General Law of Complete Moment Convergence for Self-Normalized Sums

School of Mathematical Science, Huaiyin Normal University, Huaian 223300, China

Received 9 March 2010; Revised 10 April 2010; Accepted 11 April 2010

Academic Editor: Andrei Volodin

Copyright © 2010 Qing-pei Zang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Let {X,Xn;n1} be a sequence of independent and identically distributed (i.i.d.) random variables, and X is in the domain of the normal law and EX=0. In this paper, we obtain a general law of complete moment convergence for self-normalized sums.