Supplement to 'Estimation in Functional Regression for General Exponential Families'
The Annals of Statistics, 2020
9 Pages Posted: 12 Nov 2020
Date Written: September 24, 2020
Abstract
In this supplemental article, we introduce some useful results in spectral theory and perturbation theory. Some of the results are well-established. We briefly review them for the purpose of easy reference. We derive a novel bound for the perturbation of eigenprojections, which plays a key role in the slope function estimation problem.
Keywords: Approximation of Compact Operators, Assouad’s Lemma, Exponential Families, Functional Estimation, Mini Max Rates of Convergence
JEL Classification: C1, C2, C4, C5
Suggested Citation: Suggested Citation
Dou, Winston Wei and Pollard, David and Zhou, Harrison, Supplement to 'Estimation in Functional Regression for General Exponential Families' (September 24, 2020). The Annals of Statistics, 2020, Available at SSRN: https://ssrn.com/abstract=3698524 or http://dx.doi.org/10.2139/ssrn.3698524
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