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Empirical Bayes for the Reluctant Frequentist

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arxiv 2404.03422 v1 pith:7LI2R5U4 submitted 2024-04-04 stat.ME

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keywords bayesempiricalmethodsfrequentistmodelsapplicationavailablebasic
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Empirical Bayes methods offer valuable tools for a large class of compound decision problems. In this tutorial we describe some basic principles of the empirical Bayes paradigm stressing their frequentist interpretation. Emphasis is placed on recent developments of nonparametric maximum likelihood methods for estimating mixture models. A more extensive introductory treatment will eventually be available in \citet{kg24}. The methods are illustrated with an extended application to models of heterogeneous income dynamics based on PSID data.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Compound Selection Decisions: An Almost SURE Approach

    econ.EM 2025-11 conditional novelty 7.0 of 10

    ASSURE: a nearly-unbiased estimator of the payoff of a selection rule; optimizing it yields near-optimal compound selection decisions with minimax-rate regret guarantees.

  2. Solving Empirical Bayes via Transformers

    cs.LG 2025-02 conditional novelty 6.0 of 10

    A transformer pre-trained on synthetic Poisson data can beat the classical NPMLE estimator on several empirical Bayes tasks and run about 100x faster.

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