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Semiparametric Estimation with Generated Covariates

Listed author(s):
  • Mammen, Enno

    ()

    (Heidelberg University)

  • Rothe, Christoph

    ()

    (Columbia University)

  • Schienle, Melanie

    ()

    (Humboldt University Berlin)

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.

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Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 6084.

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Length: 44 pages
Date of creation: Oct 2011
Publication status: forthcoming in: Econometric Theory, 2016
Handle: RePEc:iza:izadps:dp6084
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