Presmoothing in Functional Linear Regression
We consider the functional linear model with scalar response Yand explanatory variable Xvalued in a functional space. Functional Principal Components Analysis (FPCA) have been used to estimate the model parameter in recent literature. We propose to modify this methodology by presmoothing either Xor Y. For these new estimates, consistency is stated and their efficiency by comparison with the FPCA approach are studied.
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