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Nonparametric estimation of s-concave and log-concave densities: an alternative to maximum likelihood

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If you have a question about this talk, please contact Quentin Berthet.

I will discuss the Maximum Likelihood Estimators (MLEs) of log-concave and s-concave densities on IR and IR^d, and review some of the properties of these estimators. both good and bad.

I will also discuss recent results for the Rényi divergence estimators proposed by Koenker and Mizera (2010).

Based on joint work with Charles Doss, Qiyang (Roy) Han, and Arseni Seregin.

This talk is part of the Statistics series.

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