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Average Derivative Estimation from Biased Data

Average derivative estimation from biased data
descriptionPublicationkeyboard_double_arrow_right Article 11 Mar 2014 France English Publisher:Hindawi LimitedJournal:ISRN Probability and Statistics, volume 2,014, pages 1-7 (eissn: 2090-472X, Copyright policy )
Authors: Chesneau, Christophe; Kachour, Maher; Navarro, Fabien;

doi: 10.1155/2014/864530

Average Derivative Estimation from Biased Data

Abstract

We investigate the estimation of the density-weighted average derivative from biased data. An estimator integrating a plug-in approach and wavelet projections is constructed. We prove that it attains the parametric rate of convergence 1/n under the mean squared error.

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Keywords

Density estimation, wavelet projections, 330, [MATH.MATH-ST]Mathematics [math]/Statistics [math.ST], Asymptotic properties of nonparametric inference, density-weighted average derivative, Nonparametric regression and quantile regression

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
Average
Average
Average
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gold
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