Berry-Esseen bounds in the entropic central limit theorem

Bobkov SG, Chistyakov G, Götze F (2014)
Probability Theory and Related Fields 159(3-4): 435-478.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
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.
Stichworte
Berry-Esseen bounds; Central limit theorem; Entropy; Entropic distance
Erscheinungsjahr
2014
Zeitschriftentitel
Probability Theory and Related Fields
Band
159
Ausgabe
3-4
Seite(n)
435-478
ISSN
0178-8051
Page URI
https://pub.uni-bielefeld.de/record/2690735

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Bobkov SG, Chistyakov G, Götze F. Berry-Esseen bounds in the entropic central limit theorem. Probability Theory and Related Fields. 2014;159(3-4):435-478.
Bobkov, S. G., Chistyakov, G., & Götze, F. (2014). Berry-Esseen bounds in the entropic central limit theorem. Probability Theory and Related Fields, 159(3-4), 435-478. doi:10.1007/s00440-013-0510-3
Bobkov, S. G., Chistyakov, G., and Götze, F. (2014). Berry-Esseen bounds in the entropic central limit theorem. Probability Theory and Related Fields 159, 435-478.
Bobkov, S.G., Chistyakov, G., & Götze, F., 2014. Berry-Esseen bounds in the entropic central limit theorem. Probability Theory and Related Fields, 159(3-4), p 435-478.
S.G. Bobkov, G. Chistyakov, and F. Götze, “Berry-Esseen bounds in the entropic central limit theorem”, Probability Theory and Related Fields, vol. 159, 2014, pp. 435-478.
Bobkov, S.G., Chistyakov, G., Götze, F.: Berry-Esseen bounds in the entropic central limit theorem. Probability Theory and Related Fields. 159, 435-478 (2014).
Bobkov, Sergey G., Chistyakov, Gennadiy, and Götze, Friedrich. “Berry-Esseen bounds in the entropic central limit theorem”. Probability Theory and Related Fields 159.3-4 (2014): 435-478.