Ferraty, FrédéricGonzález Manteiga, WenceslaoMartínez Calvo, AdelaVieu, Philippe2019-04-092019-04-092012Ferraty, F., Gonzalez-Manteiga, W., Martinez-Calvo, A., & Vieu, P. (2012). Presmoothing in functional linear regression. Statistica Sinica, 22, 69-94. doi: 10.5705/ss.2010.0851017-0405http://hdl.handle.net/10347/18563In this paper, we consider the functional linear model with scalar response, and explanatory variable valued in a function space. In recent literature, functional principal components analysis (FPCA) has been used to estimate the model parameter. We propose to modify this approach by using presmoothing techniques. For this new estimate, consistency is stated and efficiency by comparison with the standard FPCA estimator is studied. We have also analysed the behaviour of our presmoothed estimator by means of a simulation study and data applicationseng© 2012 Academia Sinica, Institute of Statistical ScienceFunctional linear regression (FLR)Functional principal components analysis (FPCA)Nonparametric kernel estimatorPresmoothingjournal article10.5705/ss.2010.0851996-8507open access