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- Herv, Cardot Fr, Ed Eric Ferraty, Andr E Mas, Pascal Sarda
- 2003

The functional linear model with scalar response is a regression model where the predictor is a random function deened on some compact set of R and the response a scalar. The response is modelled as Y = (X) + ", where is some linear continuous operator deened on the space of square integrable functions and valued in R. The random input X is independent from… (More)

- Hervé Cardot, Christophe Crambes, Alois Kneip, Pascal Sarda
- Computational Statistics & Data Analysis
- 2007

This paper deals with a linear model of regression on quantiles when the explanatory variable takes values in some functional space and the response is scalar. We propose a spline estimator of the functional coefficient that minimizes a penalized L 1 type criterion. Then, we study the asymptotic behavior of this estimator. The penalization is of primary… (More)

We propose in this work to derive a CLT in the functional linear regression model. The main difficulty is due to the fact that estimation of the functional parameter leads to a kind of ill-posed inverse problem. We consider estimators that belong to a large class of regularizing methods and we first show that, contrary to the multivariate case, it is not… (More)

- Luboš Prchal, Pascal Sarda
- 2007

The article is devoted to a regression setting where both, the response and the predictor, are random functions defined on some compact sets of R. We consider functional linear (auto)regression and we face the estimation of a bivariate functional parameter. Conditions for existence and uniqueness of the parameter are given and an estimator based on a… (More)

- Jaromír Antoch, Lubos Prchal, Pascal Sarda
- J. Classification
- 2013

- Wolfgang Härdle, Yuichi Mori, +5 authors Pascal Sarda
- 2004

1 Discriminant analysis based on continuous and discrete variables: application to systematic zoology 11

- Nathalie Villa-Vialaneix, Martin Paegelow, +4 authors Pascal Sarda
- Communications in Statistics - Simulation and…
- 2007

Using former maps, geographers intend to study the evolution of the land cover in order to have a prospective approach on the future landscape; predictions of the future land cover, by the use of older maps and environmental variables, are usually done through the GIS (Geographic Information System). We propose here to confront this classical geographical… (More)

- Aldo Goia, Ernesto Salinelli, Pascal Sarda
- Statistical Methods and Applications
- 2015

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