Estimation of nonseparable models with censored dependent variables and endogenous regressors

Luke Taylor, Taisuke Otsu

Research output: Contribution to journalArticlepeer-review


In this article we develop a nonparametric estimator for the local average response of a censored dependent variable to endogenous regressors in a nonseparable model where the unobservable error term is not restricted to be scalar and where the nonseparable function need not be monotone in the unobservables. We formalize the identification argument put forward in Altonji, Ichimura, and Otsu (2012), construct a nonparametric estimator, characterize its asymptotic property, and conduct a Monte Carlo investigation to study its small sample properties. Identification is constructive and is achieved through a control function approach. We show that the estimator is consistent and asymptotically normally distributed. The Monte Carlo results are encouraging.

Original languageEnglish
Pages (from-to)4-24
Number of pages21
JournalEconometric Reviews
Issue number1
Publication statusPublished - 2019 Jan 2
Externally publishedYes


  • Average derivatives
  • censored dependent variables
  • endogeneity
  • nonparametric estimation
  • nonseparable models

ASJC Scopus subject areas

  • Economics and Econometrics


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