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Nonparametric Estimation in Case of Endogenous Selection

Christoph Breunig, Enno Mammen and Anna Simoni
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Christoph Breunig: Humboldt-Universität zu Berlin
Enno Mammen: Universität Heidelberg

No 58, Rationality and Competition Discussion Paper Series from CRC TRR 190 Rationality and Competition

Abstract: This paper addresses the problem of estimation of a nonparametric regression function from selectively observed data when selection is endogenous. Our approach relies on independence between covariates and selection conditionally on potential outcomes. Endogeneity of regressors is also allowed for. In the exogenous and endogenous case, consistent two-step estimation procedures are proposed and their rates of convergence are derived. Pointwise asymptotic distribution of the estimators is established. In addition, bootstrap uniform confidence bands are obtained. Finite sample properties are illustrated in a Monte Carlo simulation study and an empirical illustration.

Keywords: endogenous selection; instrumental variable; sieve minimum distance; regression estimation; inverse problem; inverse probability weighting; convergence rate; asymptotic normality; bootstrap uniform confidence bands (search for similar items in EconPapers)
JEL-codes: C14 C26 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-ecm and nep-ore
Date: 2017-12-20
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Journal Article: Nonparametric estimation in case of endogenous selection (2018) Downloads
Working Paper: Nonparametric Estimation in case of Endogenous Selection Downloads
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