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Minimax optimal estimators for general additive functional estimation
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Minimax optimal estimators for general additive functional estimation
Minimax optimal estimators for general additive functional estimation
Paper

Minimax optimal estimators for general additive functional estimation

2019
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Overview
In this paper, we observe a sparse mean vector through Gaussian noise and we aim at estimating some additive functional of the mean in the minimax sense. More precisely, we generalize the results of (Collier et al., 2017, 2019) to a very large class of functionals. The optimal minimax rate is shown to depend on the polynomial approximation rate of the marginal functional, and optimal estimators achieving this rate are built.
Publisher
Cornell University Library, arXiv.org