Berry-Esseen bounds in the entropic central limit theorem

Friedrich G\"otze; Gennadiy P. Chistyakov; Sergey G. Bobkov

arxiv: 1105.4119 · v2 · pith:H3AB5LAMnew · submitted 2011-05-20 · 🧮 math.PR

Berry-Esseen bounds in the entropic central limit theorem

Sergey G. Bobkov , Gennadiy P. Chistyakov , Friedrich G\"otze This is my paper

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keywords boundsberry-esseenberry-esseen-typecentraldistancesentropicentropyestablished

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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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Berry-Esseen bounds in the entropic central limit theorem

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