Semiparametric estimation with generated covariates

• Verfasst von: Mammen, Enno
• Verfasst von: Rothe, Christoph
• Verfasst von: Schienle, Melanie
• Titel: Semiparametric estimation with generated covariates
• Verf.angabe: Enno Mammen; Christoph Rothe; Melanie Schienle
• Verlagsort: Bonn
• Verlag: IZA
• Jahr: 2011
• Umfang: Online-Ressource (PDF-Datei: 42 S., 522,04 KB)
• Gesamttitel/Reihe: Discussion paper series / Forschungsinstitut zur Zukunft der Arbeit ; 6084
• ComputerInfo: Systemvoraussetzung: Acrobat Reader.
• URN: urn:nbn:de:101:1-201111213059
• Datenträger: Online-Ressource
• Sprache: eng
• Form-SW: Arbeitspapier
• Form-SW: Graue Literatur
• K10plus-PPN: 689842155

Abstract

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