### 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 language | English (US) |
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Pages (from-to) | 1677-1681 |

Number of pages | 5 |

Journal | Statistica Sinica |

Volume | 17 |

Issue number | 4 |

State | Published - Oct 1 2007 |

### Keywords

- Dimension reduction
- Functional data analysis
- Inverse regression

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## Cite this

Forzani, L., & Cook, R. D. (2007). A note on smoothed functional inverse regression.

*Statistica Sinica*,*17*(4), 1677-1681.