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.
Main Author: | |
---|---|
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 |
Summary: | 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. |
---|---|
ISSN: | 1025-5834 1029-242X |