Bayesian nonparametric statistics, St-Flour lecture notes

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These are lecture notes of the 51st Saint-Flour summer school, July 2023, on the topic of Bayesian nonparametric statistics

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Asymptotics of Nonparametric Estimation under General Non-monotone MAR Missingness: A Nonparametric Maximum Likelihood Approach
stat.ME 2026-08 conditional novelty 8.0 of 10

A sieve maximum likelihood estimator attains near-minimax Hellinger rates for density estimation under general non-monotone missing at random, with missingness affecting only the constant.
Asymptotics of Nonparametric Estimation under general non-monotone MAR missingness: A Bayesian Approach
math.ST 2026-03 accept novelty 7.0 of 10

Bayesian posterior contraction and minimax-rate density estimation remain valid under general non-monotone MAR when fully observed rows occur with probability bounded away from zero.