Realisable epsilon-contamination models for MNAR data yield minimax mean estimation rates that decompose into MCAR plus robust terms and remain consistent for Gaussian bases even as missingness and epsilon both tend to 1.
A short proof of the dvoretzky–kiefer–wolfowitz– massart inequality, 2024
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An explicit nearly-optimal data-dependent DKW inequality yields uniform 1-δ confidence bands for the CDF of a functional of a regenerative Markov chain from its empirical CDF.
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Estimation beyond Missing (Completely) at Random
Realisable epsilon-contamination models for MNAR data yield minimax mean estimation rates that decompose into MCAR plus robust terms and remain consistent for Gaussian bases even as missingness and epsilon both tend to 1.
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A data-dependent DKW inequality for regenerative Markov chains
An explicit nearly-optimal data-dependent DKW inequality yields uniform 1-δ confidence bands for the CDF of a functional of a regenerative Markov chain from its empirical CDF.