A note on smoothed functional inverse regression

L. Forzani, R. D Cook

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

Estimation in the context of functional data analysis is almost always non-parametric, since the object to be estimated lives in an infinite dimensional space. That is the case for the functional linear model with a real response and a process as covariables. In a recent paper Ferré and Yao state that the estimation of the Effective Dimension Reduction (EDR) subspace via SIR has parametric order. We show that a strong condition is needed for their statement to be true.

Original languageEnglish (US)
Pages (from-to)1677-1681
Number of pages5
JournalStatistica Sinica
Volume17
Issue number4
StatePublished - Oct 1 2007

Keywords

  • Dimension reduction
  • Functional data analysis
  • Inverse regression

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