More on the nonuniform Berry--Esseen bound

Iosif Pinelis

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arXiv · 1302.0516

More on the nonuniform Berry--Esseen bound

Iosif Pinelis

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Abstract

Certain smoothing inequalities were proposed in the recent paper posted on arXiv at arxiv:1301.2828 in order to lessen the very large gap between the best correctly established upper and lower bounds on the constant factor in the nonuniform Berry-Esseen bound. As an illustration of the possible uses of those inequalities, a quick proof of Nagaev's classical nonuniform bound was given there. Here we describe another, apparently more effective class of smoothing inequalities, and give a yet quicker and simpler proof of Nagaev's result.

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Iosif Pinelis. 2013-02-03. More on the nonuniform Berry--Esseen bound. https://arxiv.org/abs/1302.0516

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