Control variables, discrete instruments, and identification of structural functions

Whitney Newey*, Sami Stouli*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

6 Citations (Scopus)
40 Downloads (Pure)


Control variables provide an important means of controlling for endogeneity in econometric models with nonseparable and/or multidimensional heterogeneity. We allow for discrete instruments, giving identification results under a variety of restrictions on the way the endogenous variable and the control variables affect the outcome. We consider many structural objects of interest, such as average or quantile treatment effects. We illustrate our results with an empirical application to Engel curve estimation.
Original languageEnglish
Pages (from-to)1-16
Number of pages16
JournalJournal of Econometrics
Issue number0
Early online date8 Sept 2020
Publication statusE-pub ahead of print - 8 Sept 2020

Structured keywords

  • ECON Econometrics
  • ECON CEPS Data


  • Control variables
  • discrete instruments
  • structural functions
  • endogeneity
  • partially nonparametric
  • nonseparable models
  • identification
  • treatment effects


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