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Estimation of a functional single index model

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Standard

Estimation of a functional single index model. / Ferraty, Frederic; Park, Juhyun; Vieu, Philippe.

Recent Advances in Functional Data Analysis and Related Topics. ed. / Frédéric Ferraty. Berlin : Physica-Verlag HD, 2011. p. 111-116.

Research output: Contribution in Book/Report/Proceedings - With ISBN/ISSNConference contribution/Paperpeer-review

Harvard

Ferraty, F, Park, J & Vieu, P 2011, Estimation of a functional single index model. in F Ferraty (ed.), Recent Advances in Functional Data Analysis and Related Topics. Physica-Verlag HD, Berlin, pp. 111-116. https://doi.org/10.1007/978-3-7908-2736-1_17

APA

Ferraty, F., Park, J., & Vieu, P. (2011). Estimation of a functional single index model. In F. Ferraty (Ed.), Recent Advances in Functional Data Analysis and Related Topics (pp. 111-116). Physica-Verlag HD. https://doi.org/10.1007/978-3-7908-2736-1_17

Vancouver

Ferraty F, Park J, Vieu P. Estimation of a functional single index model. In Ferraty F, editor, Recent Advances in Functional Data Analysis and Related Topics. Berlin: Physica-Verlag HD. 2011. p. 111-116 https://doi.org/10.1007/978-3-7908-2736-1_17

Author

Ferraty, Frederic ; Park, Juhyun ; Vieu, Philippe. / Estimation of a functional single index model. Recent Advances in Functional Data Analysis and Related Topics. editor / Frédéric Ferraty. Berlin : Physica-Verlag HD, 2011. pp. 111-116

Bibtex

@inproceedings{1de7d553228740b083fcec859f28e791,
title = "Estimation of a functional single index model",
abstract = "Single index models have been mostly studied as an alternative dimension reduction technique for nonparametric regression with multivariate covariates. The index parameter appearing in the model summarizes the effect of the covariates in a finite dimensional vector. We consider an extension to a functional single index parameter which is of infinite dimensional, as a summary of the effect of a functional explanatory variable on a scalar response variable and propose a new estimator based on the idea of functional derivative estimation.",
author = "Frederic Ferraty and Juhyun Park and Philippe Vieu",
year = "2011",
doi = "10.1007/978-3-7908-2736-1_17",
language = "English",
isbn = "978-3-7908-2735-4",
pages = "111--116",
editor = "Ferraty, {Fr{\'e}d{\'e}ric }",
booktitle = "Recent Advances in Functional Data Analysis and Related Topics",
publisher = "Physica-Verlag HD",

}

RIS

TY - GEN

T1 - Estimation of a functional single index model

AU - Ferraty, Frederic

AU - Park, Juhyun

AU - Vieu, Philippe

PY - 2011

Y1 - 2011

N2 - Single index models have been mostly studied as an alternative dimension reduction technique for nonparametric regression with multivariate covariates. The index parameter appearing in the model summarizes the effect of the covariates in a finite dimensional vector. We consider an extension to a functional single index parameter which is of infinite dimensional, as a summary of the effect of a functional explanatory variable on a scalar response variable and propose a new estimator based on the idea of functional derivative estimation.

AB - Single index models have been mostly studied as an alternative dimension reduction technique for nonparametric regression with multivariate covariates. The index parameter appearing in the model summarizes the effect of the covariates in a finite dimensional vector. We consider an extension to a functional single index parameter which is of infinite dimensional, as a summary of the effect of a functional explanatory variable on a scalar response variable and propose a new estimator based on the idea of functional derivative estimation.

U2 - 10.1007/978-3-7908-2736-1_17

DO - 10.1007/978-3-7908-2736-1_17

M3 - Conference contribution/Paper

SN - 978-3-7908-2735-4

SP - 111

EP - 116

BT - Recent Advances in Functional Data Analysis and Related Topics

A2 - Ferraty, Frédéric

PB - Physica-Verlag HD

CY - Berlin

ER -