|
JIPAM
| Improvement of the Non-uniform Version of Berry-Esseen Inequality Via Paditz-Siganov Theorems |
|
|
|
|
| |
| |
Authors: |
K. Neammanee, P. Thongtha, |
|
| |
Keywords:
|
Berry-Esseen inequality, Paditz-Siganov theorems, central limit theorem, uniform and non-uniform bounds. |
|
| |
Date Received:
|
28/06/07 |
|
| |
Date Accepted:
|
05/10/07 |
|
| |
Subject Codes: |
60F05, 60G50.
|
|
| |
Editors: |
Terry M. Mills, |
|
| |
|
|
|
|
| |
Abstract: |
We improve the constant in a non-uniform bound of the Berry-Esseen inequality without assuming the existence of the absolute third moment by using the method obtained from the Paditz-Siganov theorems. Our bound is better than the results of Thongtha and Neammanee in 2007 ([14]).;
|
This article was printed from JIPAM
http://jipam.vu.edu.au
The URL for this article is:
http://jipam.vu.edu.au/article.php?sid=911
|