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
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