On the Optimality of Several Algorithms on Polynomial Regression of Empicial Bayes Poisson Model

The empirical Bayes estimator for the Poisson mixture model in [1], [2] has been an important problem studied for the past 70 years. In this thesis, we investigate extensions of this problem to estimating polynomial functions of the Poisson parameter rather than just the parameter itself. We general...

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Bibliographic Details
Main Author: Kang, Benjamin
Other Authors: Polyanskiy, Yury
Format: Thesis
Published: Massachusetts Institute of Technology 2024
Online Access:https://hdl.handle.net/1721.1/156808