Recent Advances on Functional Additive Regression

  • Frédéric Ferraty
  • Aldo Goia
  • Enersto Salinelli
  • Philippe Vieu
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)

Abstract

We introduce a flexible approach to approximate the regression function in the case of a functional predictor and a scalar response. Following the Projection Pursuit Regression principle, we derive an additive decomposition which exploits the most interesting projections of the prediction variable to explain the response. The goodness of our procedure is illustrated from theoretical and pratical points of view.

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References

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    Ferraty, F., Goia, A., Salinelli, E., Vieu, P.: Additive Functional Regression based on Predictive Directions. WP 13/10, Dipartimento di Scienze Economiche e Metodi Quantitativi, Universit`a del Piemonte Orientale A. Avogadro (2010)Google Scholar
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    Ferraty, F., Vieu, P.: Nonparametric functional data analysis. Springer, New York (2006) 3. Friedman, J.H., Stuetzle, W.: Projection Pursuit Regression. J. Am. Stat. Assoc. 76, 817–823 (1981)Google Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Frédéric Ferraty
    • 1
  • Aldo Goia
    • 2
  • Enersto Salinelli
    • 2
  • Philippe Vieu
    • 1
  1. 1.Institut de Mathématiques de ToulouseToulouseFrance
  2. 2.Università del Piemonte OrientalePiemonteNovara

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