Semiparametric estimation with generated covariates

In this paper, we study a general class of semiparametric optimization estimators of a vector-valued parameter. The criterion function depends on two types of infinite-dimensional nuisance parameters: a conditional expectation function that has been estimated nonparametrically using generated covari...

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Bibliographic Details
Main Authors: Mammen, Enno (Author) , Rothe, Christoph (Author) , Schienle, Melanie (Author)
Format: Book/Monograph Working Paper
Language:English
Published: Berlin SFB 649, Economic Risk 2011
Series:SFB 649 discussion paper 2011-064
In: SFB 649 discussion paper (2011-064)

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Online Access:Verlag, Volltext: http://sfb649.wiwi.hu-berlin.de/papers/pdf/SFB649DP2011-064.pdf
Download aus dem Internet, Stand: 02.11.2011, Volltext: http://hdl.handle.net/10419/56726
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Author Notes:Enno Mammen; Christoph Rothe; Melanie Schienle
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Summary:In this paper, we study a general class of semiparametric optimization estimators of a vector-valued parameter. The criterion function depends on two types of infinite-dimensional nuisance parameters: a conditional expectation function that has been estimated nonparametrically using generated covariates, and another estimated function that is used to compute the generated covariates in the first place. We study the asymptotic properties of estimators in this class, which is a nonstandard problem due to the presence of generated covariates. We give conditions under which estimators are root-n consistent and asymptotically normal, and derive a general formula for the asymptotic variance. -- Semiparametric estimation ; generated covariates ; profiling ; propensity score
Physical Description:Online Resource
Format:Systemvoraussetzungen: Acrobat Reader.