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Session S38 - Geometric Potential Analysis

Thursday, July 15, 17:15 ~ 17:45 UTC-3

Review of some results on limit theorems for densities

Sergey Bobkov

University of Minnesota, United States   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We will review several results in the central limit theorem on the convergence to the normal distributions. In particular, classical theorems due to Gnedenko (for the uniform distance), Prokhorov (convergence in total variation), and Barron (the entropic CLT) will be presented as particular cases of a more general statement in Orlicz spaces using a unifying decomposition approach.

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