A Note on Wavelet Estimation of the Derivatives of a Regression Function in a Random Design Setting

Author

Chesneau, Christophe

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2014-04-03

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

We investigate the estimation of the derivatives of a regression function in the nonparametric regression model with random design.

New wavelet estimators are developed.

Their performances are evaluated via the mean integrated squared error.

Fast rates of convergence are obtained for a wide class of unknown functions.

American Psychological Association (APA)

Chesneau, Christophe. 2014. A Note on Wavelet Estimation of the Derivatives of a Regression Function in a Random Design Setting. International Journal of Mathematics and Mathematical Sciences،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-453628

Modern Language Association (MLA)

Chesneau, Christophe. A Note on Wavelet Estimation of the Derivatives of a Regression Function in a Random Design Setting. International Journal of Mathematics and Mathematical Sciences No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-453628

American Medical Association (AMA)

Chesneau, Christophe. A Note on Wavelet Estimation of the Derivatives of a Regression Function in a Random Design Setting. International Journal of Mathematics and Mathematical Sciences. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-453628

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-453628