A General Law of Complete Moment Convergence for 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 the normal law and EX=0. In this paper, we obtain a general law of complete moment convergence for self-normalized sums.

Bibliographic Details
Main Author: Qing-pei Zang
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2010/760735