A Gamma-smoothed NPMLE for Poisson empirical Bayes achieves optimal nearly parametric rates for posterior means and enables asymptotically exact, shorter marginal coverage confidence sets under compact support.
Solving empirical Bayes via transform- ers
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Poisson Empirical Bayes via Gamma-Smoothed Nonparametric Maximum Likelihood
A Gamma-smoothed NPMLE for Poisson empirical Bayes achieves optimal nearly parametric rates for posterior means and enables asymptotically exact, shorter marginal coverage confidence sets under compact support.