Testing Hypotheses in the Functional Linear Model

The functional linear model with scalar response is a regression model where the predictor is a random function defined on some compact set of R and the response is scalar. The response is modelled as Y = Ψ (X) + ε, where Ψ is some linear continuous operator defined on the space of square integrable...

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Veröffentlicht in:	Scandinavian journal of statistics 2003-03, Vol.30 (1), p.241-255
Hauptverfasser:	Cardot, Hervé, Ferraty, Frédéric, Mas, André, Sarda, Pascal
Format:	Artikel
Sprache:	eng
Schlagworte:	asymptotic normality Covariance Eigenvalues Estimators Exact sciences and technology functional linear model Hilbert space valued random variables Linear inference, regression Linear models Mathematics Multivariate analysis Nonparametric inference Null hypothesis Parametric inference Probability and statistics Random variables Sciences and techniques of general use Signal noise splines Statistical theories Statistical variance Statistics Supernova remnants tests
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