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arXiv · 1109.0741

Improved nonuniform Berry--Esseen-type bounds

Iosif Pinelis
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Abstract

New nonuniform Berry--Esseen-type bounds for sums of independent random variables are obtained, motivated by recent studies concerning such bounds for nonlinear statistics. The proofs are based on the Chen--Shao concentration techniques within the framework of the Stein method.

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Iosif Pinelis. 2011-09-04. Improved nonuniform Berry--Esseen-type bounds. https://arxiv.org/abs/1109.0741

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