Electronic Journal of Statistics

Kernel regression with functional response

Frédéric Ferraty, Ali Laksaci, Amel Tadj, and Philippe Vieu

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Abstract

We consider kernel regression estimate when both the response variable and the explanatory one are functional. The rates of uniform almost complete convergence are stated as function of the small ball probability of the predictor and as function of the entropy of the set on which uniformity is obtained.

Article information

Source
Electron. J. Statist. Volume 5 (2011), 159-171.

Dates
First available in Project Euclid: 28 March 2011

Permanent link to this document
https://projecteuclid.org/euclid.ejs/1301318250

Digital Object Identifier
doi:10.1214/11-EJS600

Mathematical Reviews number (MathSciNet)
MR2786486

Zentralblatt MATH identifier
1274.62281

Subjects
Primary: 62G08: Nonparametric regression

Keywords
Uniform almost complete convergence kernel estimators functional data entropy semi-metric space

Citation

Ferraty, Frédéric; Laksaci, Ali; Tadj, Amel; Vieu, Philippe. Kernel regression with functional response. Electron. J. Statist. 5 (2011), 159--171. doi:10.1214/11-EJS600. https://projecteuclid.org/euclid.ejs/1301318250


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References

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The Institute of Mathematical Statistics and the Bernoulli Society

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