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Parameter estimation of the functional linear model with scalar response with responses missing at random

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Book cover Functional Statistics and Related Fields

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

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Abstract

This contribution considers estimation of the parameters of the functional linear model with scalar response when some of the responses are missing at random. We consider two different estimation methods of the functional slope of the model and analyze their characteristics. Simulations and the analysis of a real data example provides some insight into the behavior of both estimation procedures.

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Author information

Authors and Affiliations

  1. Department of Statistics, Mathematical Analysis and Optimization, Universidade de Santiago de Compostela, Santiago, Spain

    Manuel Febrero-Bande & Wenceslao González-Manteiga

  2. Department of Statistics and UC3M-BS Institute of Financial Big Data, Universidad Carlos III de Madrid, Getafe, Spain

    Pedro Galeano

Authors
  1. Manuel Febrero-Bande
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  2. Pedro Galeano
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  3. Wenceslao González-Manteiga
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Corresponding author

Correspondence to Pedro Galeano .

Editor information

Editors and Affiliations

  1. Dept. of Mathematics, University of A Coruña, A Coruña, Spain

    Germán Aneiros

  2. Dept. of Studies in Econ.and Business, University of Eastern Piedmont "Amedeo Avogadro", Novara, Italy

    Enea G. Bongiorno

  3. Dept. of Mathematics, University of A Coruña, A Coruña, Spain

    Ricardo Cao

  4. Toulouse Mathematics Institute (IMT), Paul Sabatier University, Toulouse, France

    Philippe Vieu

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Febrero-Bande, M., Galeano, P., González-Manteiga, W. (2017). Parameter estimation of the functional linear model with scalar response with responses missing at random. In: Aneiros, G., G. Bongiorno, E., Cao, R., Vieu, P. (eds) Functional Statistics and Related Fields. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-55846-2_14

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