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Volume 8, Issue 4, Article 92 |
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Improvement of the Non-uniform Version of Berry-Esseen Inequality Via Paditz-Siganov Theorems
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Authors: |
K. Neammanee, P. Thongtha, |
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Keywords:
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Berry-Esseen inequality, Paditz-Siganov theorems, central limit theorem, uniform and non-uniform bounds. |
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Date Received:
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28/06/07 |
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Date Accepted:
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05/10/07 |
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Subject Codes: |
60F05, 60G50.
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Editors: |
Terry M. Mills, |
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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]).
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