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Robust Function-on-Function Regression
Published in Technometrics, 2021
Harjit Hullait, David S. Leslie, Nicos G. Pavlidis, Steve King
Note that and are defined on a finite number of eigenfunctions, so are defined by finite score vectors. Therefore, Corollary 4.1 follows from Lemma 4.1 and Remark 1, which states almost sure convergence of the empirical distribution for iid multivariate random variables. In this case, Fisher-consistency is equivalent to consistency.