Abstract
We explore properties of the $\chi^{2}$ and Rényi distances to the normal law and in particular propose necessary and sufficient conditions under which these distances tend to zero in the central limit theorem (with exact rates with respect to the increasing number of summands).
Citation
S. G. Bobkov. G. P. Chistyakov. F. Götze. "Rényi divergence and the central limit theorem." Ann. Probab. 47 (1) 270 - 323, January 2019. https://doi.org/10.1214/18-AOP1261
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