Nonparametric Identification and Estimation of Transformation Models

Pierre Chiappori, Ivana Komunjer and Dennis Kristensen

No 2011-01, CAM Working Papers from University of Copenhagen. Department of Economics. Centre for Applied Microeconometrics

Abstract: This paper derives sufficient conditions for nonparametric transformation models to be identified and develops estimators of the identified components. Our nonparametric identification result is global, and is derived under conditions that are substantially weaker than full independence. In particular, we show that a completeness assumption combined with conditional independence with respect to one of the regressors suffices for the model to be identified. The identification result is also constructive in the sense that it yields explicit expressions of the functions of interest. We show how natural estimators can be developed from these expressions, and analyze their theoretical properties. Importantly, it is demonstrated that the proposed estimator of the unknown transformation function converges at the parametric rate.

Keywords: nonparametric identification; transformation models; kernel estimation (search for similar items in EconPapers)
Pages: 37 pages
Date: 2011-01
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (3)

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Journal Article: Nonparametric identification and estimation of transformation models (2015)
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