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Functional linear models for functional responses

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Functional Data Analysis

Part of the book series: Springer Series in Statistics ((SSS))

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Abstract

The aim of Chapter 10 was to predict a scalar response y from a functional covariate x. We now consider a fully functional linear model in which both the response y and the covariate x are functions. For instance, in the Canadian weather example, we might wish to investigate to what extent we can predict the complete log precipitation profile LPrec of a weather station from information in its complete temperature profile Temp.

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© 1997 Springer Science+Business Media New York

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Ramsay, J.O., Silverman, B.W. (1997). Functional linear models for functional responses. In: Functional Data Analysis. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-7107-7_11

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  • DOI: https://doi.org/10.1007/978-1-4757-7107-7_11

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4757-7109-1

  • Online ISBN: 978-1-4757-7107-7

  • eBook Packages: Springer Book Archive

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