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Nonparametric inference for counterfactual means: Bias-correction, confidence sets, and weak IV

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  • Fan, Yanqin
  • Park, Sang Soo

Abstract

This paper supplements Manski (1990) and Manski and Pepper (2000) and contributes to the literature by introducing the concept of weak IV for the partially identified mean counterfactual outcomes when an instrumental variable (IV) or a monotone instrumental variable (MIV) is available (IV or MIV assumption respectively); developing asymptotically uniformly valid confidence sets for the counterfactual mean outcomes and average treatment effects under the assumptions; correcting biases of estimates of bounds on the counterfactual mean outcomes under the assumptions. We apply the confidence sets to further examining the effect of family intactness on a child’s high school graduation originally studied in Manski et al. (1992).

Suggested Citation

  • Fan, Yanqin & Park, Sang Soo, 2014. "Nonparametric inference for counterfactual means: Bias-correction, confidence sets, and weak IV," Journal of Econometrics, Elsevier, vol. 178(P1), pages 45-56.
  • Handle: RePEc:eee:econom:v:178:y:2014:i:p1:p:45-56
    DOI: 10.1016/j.jeconom.2013.08.005
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    Cited by:

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    2. Lee, Sokbae & Song, Kyungchul & Whang, Yoon-Jae, 2018. "Testing For A General Class Of Functional Inequalities," Econometric Theory, Cambridge University Press, vol. 34(5), pages 1018-1064, October.

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    More about this item

    Keywords

    Average treatment effect; Counterfactual mean outcome; Kernel estimation; Partial identification;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • C19 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Other

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