Generated covariates in nonparametric estimation: a short review

In many applications, covariates are not observed but have to be estimated from data. We outline some regression-type models where such a situation occurs and discuss estimation of the regression function in this context. We review theoretical results on how asymptotic properties of nonparametric es...

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Bibliographic Details
Main Authors: Mammen, Enno (Author) , Rothe, Christoph (Author) , Schienle, Melanie (Author)
Format: Chapter/Article Conference Paper
Language:English
Published: 2013
In: Recent Developments in Modeling and Applications in Statistics
Year: 2012, Pages: 97-105
Online Access:Verlag, Volltext: https://link.springer.com/chapter/10.1007/978-3-642-32419-2_11
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Author Notes:Enno Mammen, Christoph Rothe, Melanie Schienle
Description
Summary:In many applications, covariates are not observed but have to be estimated from data. We outline some regression-type models where such a situation occurs and discuss estimation of the regression function in this context. We review theoretical results on how asymptotic properties of nonparametric estimators differ in the presence of generated covariates from the standard case where all covariates are observed. These results also extend to settings where the focus of interest is on average functionals of the regression function.
Item Description:First online: 13 September 2012
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Physical Description:Online Resource
ISBN:9783642324192