Linear wavelet estimation of the derivatives of a regression function based on biased data - Archive ouverte HAL
Article Dans Une Revue Communications in Statistics - Theory and Methods Année : 2017

Linear wavelet estimation of the derivatives of a regression function based on biased data

Yogendra P. Chaubey
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Fabien Navarro

Résumé

This paper deals with the problem of estimating the derivatives of a regression function based on biased data. We develop two different linear wavelet estimators according to the knowledge of the "biased density" of the design. The new estimators are analyzed with respect to their $L_p$ risk with p ≥ 1 over Besov balls. Fast polynomial rates of convergence are obtained.
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Dates et versions

hal-01075544 , version 1 (18-10-2014)

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Yogendra P. Chaubey, Christophe Chesneau, Fabien Navarro. Linear wavelet estimation of the derivatives of a regression function based on biased data. Communications in Statistics - Theory and Methods, 2017, 46 (19), ⟨10.1080/03610926.2016.1213287⟩. ⟨hal-01075544⟩
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