On applying optimal design of experiments when functional observations occur

CATERINA MAY, Tommasi Aletti

Risultato della ricerca: Capitolo in libro/report/atti di convegnoContributo in volume (Capitolo o Saggio)peer review

Abstract

In this work we study the theory of optimal design of experiments when functional observations occur. We provide the best estimate for the functional coefficient in a linear model with functional response and multivariate predictor, exploiting fully the information provided by both functions and derivatives. We define different optimality criteria for the estimate of a functional coefficient. Then, we provide a strong theoretical foundation to prove that the computation of these optimal designs, in the case of linear models, is the same as in the classical theory, but a different interpretation needs to be given.
Lingua originaleInglese
Titolo della pubblicazione ospitemODa 11 - Advances in Model-Oriented Design and Analysis
EditoreSPRINGER
Pagine1-9
Numero di pagine9
ISBN (stampa)978-3-319-31264-4
DOI
Stato di pubblicazionePubblicato - 1 gen 2016

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