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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.

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  • 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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    Citations

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    Cited by:

    1. 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.
    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. 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.
    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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