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Minimax optimal estimators for general additive functional estimation
by
Collier, Olivier
, Comminges, Laëtitia
in
Estimators
/ Minimax technique
/ Polynomials
/ Random noise
2019
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Minimax optimal estimators for general additive functional estimation
by
Collier, Olivier
, Comminges, Laëtitia
in
Estimators
/ Minimax technique
/ Polynomials
/ Random noise
2019
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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
Subject
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