Berry-Esseen bounds in the entropic central limit theorem

Sergey G. Bobkov; Gennadiy P. Chistyakov; Friedrich Götze

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arXiv · 1105.4119

Berry-Esseen bounds in the entropic central limit theorem

Sergey G. Bobkov·Gennadiy P. Chistyakov·Friedrich Götze

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Abstract

Berry-Esseen-type bounds for total variation and relative entropy distances to the normal law are established for the sums of non-i.i.d. random variables.

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Sergey G. Bobkov, Gennadiy P. Chistyakov, Friedrich Götze. 2011-05-20. Berry-Esseen bounds in the entropic central limit theorem. https://arxiv.org/abs/1105.4119

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