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Nonparametric Two-Stage Estimation of Simultaneous Equations with Limited Endogenous Regressors

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  • Lee, Myoung-Jae

Abstract

Estimation of simultaneous equations with limited (or transformed) endogenous regressors has been difficult in the parametric literature for various reasons. In this paper, we propose a nonparametric two-stage method that is analogous to two-stage least-squares estimation. A simultaneous censored model is used to illustrate our approach, and then its generalization to other cases is developed. The technical highlight is in handling a nondifferentiable second-stage minimand with an infinite-dimensional first-stage nuisance parameter when the first-stage error is not orthogonal to the second.

Suggested Citation

  • Lee, Myoung-Jae, 1996. "Nonparametric Two-Stage Estimation of Simultaneous Equations with Limited Endogenous Regressors," Econometric Theory, Cambridge University Press, vol. 12(2), pages 305-330, June.
  • Handle: RePEc:cup:etheor:v:12:y:1996:i:02:p:305-330_00
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    Cited by:

    1. Changhui Kang & Myoung‐jae Lee, 2010. "Performance Of Various Estimators For Censored Response Models With Endogenous Regressors," Pacific Economic Review, Wiley Blackwell, vol. 15(4), pages 447-463, October.
    2. Patrick Puhani, 2000. "The Heckman Correction for Sample Selection and Its Critique," Journal of Economic Surveys, Wiley Blackwell, vol. 14(1), pages 53-68, February.
    3. Pao-Li Chang & Myoung-Jae Lee, 2006. "Protection for Sale Under Monopolistic Competition : An Empirical Investigation," Microeconomics Working Papers 22061, East Asian Bureau of Economic Research.
    4. Bertrand Melenberg & Arthur van Soest & Erwin Charlier, 2000. "An analysis of housing expenditure using semiparametric cross-section models," Empirical Economics, Springer, vol. 25(3), pages 437-462.
    5. Chen, Songnian & Zhou, Yahong, 2010. "Semiparametric and nonparametric estimation of sample selection models under symmetry," Journal of Econometrics, Elsevier, vol. 157(1), pages 143-150, July.
    6. Chiburis, Richard C., 2010. "Semiparametric bounds on treatment effects," Journal of Econometrics, Elsevier, vol. 159(2), pages 267-275, December.
    7. Angelov, Nikolay & Johansson, Per & Lee, Myoung-jae, 2017. "The effect of fertility timing on labor market work duration," Working Paper Series 2017:13, IFAU - Institute for Evaluation of Labour Market and Education Policy.
    8. Chen, Songnian, 2000. "Rank estimation of a location parameter in the binary choice model," Journal of Econometrics, Elsevier, vol. 98(2), pages 317-334, October.
    9. Guo, Jing & Wang, Lei & Zhang, Zhengyu, 2022. "Identification and estimation of a heteroskedastic censored regression model with random coefficient dummy endogenous regressors," Economic Modelling, Elsevier, vol. 110(C).

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