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Pairwise Difference Estimation With Nonparametric Control Variables

Author

Listed:
  • Andres Aradillas-Lopez
  • Bo E. Honoré
  • James L. Powell
Abstract
This article extends the pairwise difference estimators for various semilinear limited dependent variable models proposed by Honoré and Powell ("Identification and Inference in Econometric Models". "Essays in Honor of Thomas Rothenberg" Cambridge: Cambridge University Press, 2005) to permit the regressor appearing in the nonparametric component to itself depend upon a conditional expectation that is nonparametrically estimated. This permits the estimation approach to be applied to nonlinear models with sample selectivity and/or endogeneity, in which a "control variable" for selectivity or endogeneity is nonparametrically estimated. We develop the relevant asymptotic theory for the proposed estimators and we illustrate the theory to derive the asymptotic distribution of the estimator for the partially linear logit model. Copyright 2007 by the Economics Department Of The University Of Pennsylvania And Osaka University Institute Of Social And Economic Research Association.

Suggested Citation

  • Andres Aradillas-Lopez & Bo E. Honoré & James L. Powell, 2007. "Pairwise Difference Estimation With Nonparametric Control Variables," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 48(4), pages 1119-1158, November.
    • Handle: RePEc:ier:iecrev:v:48:y:2007:i:4:p:1119-1158
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    Citations

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    Cited by:

    1. Luis E. Candelaria, 2020. "A Semiparametric Network Formation Model with Unobserved Linear Heterogeneity," Papers 2007.05403, arXiv.org, revised Aug 2020.
    2. Candelaria, Luis E., 2020. "A Semiparametric Network Formation Model with Unobserved Linear Heterogeneity," The Warwick Economics Research Paper Series (TWERPS) 1279, University of Warwick, Department of Economics.
    3. Cattaneo, Matias D. & Crump, Richard K. & Jansson, Michael, 2014. "Small Bandwidth Asymptotics For Density-Weighted Average Derivatives," Econometric Theory, Cambridge University Press, vol. 30(1), pages 176-200, February.
    4. Federico Belotti & Giuseppe Ilardi, 2012. "Consistent Estimation of the “True” Fixed-effects Stochastic Frontier Model," CEIS Research Paper 231, Tor Vergata University, CEIS, revised 18 Apr 2012.
    5. Black, Dan A. & Joo, Joonhwi & LaLonde, Robert & Smith, Jeffrey A. & Taylor, Evan J., 2022. "Simple Tests for Selection: Learning More from Instrumental Variables," Labour Economics, Elsevier, vol. 79(C).
    6. repec:spo:wpmain:info:hdl:2441/dambferfb7dfprc9m01h6f4h2 is not listed on IDEAS
    7. Victor Aguirregabiria & Alessandro Iaria & Senay Sokullu, 2023. "Identification and Estimation of Demand Models with Endogenous Product Entry and Exit," Working Papers tecipa-755, University of Toronto, Department of Economics.
    8. Koen Jochmans, 2013. "Pairwise‐comparison estimation with non‐parametric controls," Econometrics Journal, Royal Economic Society, vol. 16(3), pages 340-372, October.
    9. Brice Romuald Gueyap Kounga, 2023. "Identification and Estimation of a Semiparametric Logit Model using Network Data," Papers 2310.07151, arXiv.org, revised Jun 2024.
    10. Matthew Gentry & Tatiana Komarova & Pasquale Schiraldi, 2023. "Preferences and Performance in Simultaneous First-Price Auctions: A Structural Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 90(2), pages 852-878.
    11. Aradillas-Lopez, Andres, 2012. "Pairwise-difference estimation of incomplete information games," Journal of Econometrics, Elsevier, vol. 168(1), pages 120-140.
    12. repec:spo:wpecon:info:hdl:2441/dambferfb7dfprc9m01h6f4h2 is not listed on IDEAS
    13. Xin, Kai & Zhang, ZhengYu & Zhou, YaHong & Zhu, PingFang, 2021. "Time-varying individual effects in a panel data probit model with an application to female labor force participation," Economic Modelling, Elsevier, vol. 95(C), pages 181-191.
    14. Aradillas-Lopez, Andres, 2024. "Inference in models with partially identified control functions," Journal of Econometrics, Elsevier, vol. 238(1).
    15. Jean-Pierre H. Dubé & Ali Hortaçsu & Joonhwi Joo, 2020. "Random-Coefficients Logit Demand Estimation with Zero-Valued Market Shares," NBER Working Papers 26795, National Bureau of Economic Research, Inc.
    16. repec:hal:wpspec:info:hdl:2441/dambferfb7dfprc9m01h6f4h2 is not listed on IDEAS
    17. repec:hal:spmain:info:hdl:2441/dambferfb7dfprc9m01h6f4h2 is not listed on IDEAS
    18. Gentry, Matthew & Komarova, Tatiana & Schiraldi, Pasquale, 2023. "Preferences and performance in simultaneous first-price auctions: a structural analysis," LSE Research Online Documents on Economics 115627, London School of Economics and Political Science, LSE Library.
    19. Jean-Pierre Dubé & Ali Hortaçsu & Joonhwi Joo, 2021. "Random-Coefficients Logit Demand Estimation with Zero-Valued Market Shares," Marketing Science, INFORMS, vol. 40(4), pages 637-660, July.

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