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Simple Methods for Consistent Estimation of Dynamic Panel Data Sample Selection Models

Author

Listed:
  • Majid M. Al-Sadoon
  • Sergi Jiménez-Martín
  • José M Labeaga

Abstract

We analyse the properties of generalised method of moments-instrumental variables (GMM-IV) estimators of AR(1) dynamic panel data sample selection models. We show the consistency of the first-differenced GMM-IV estimator uncorrected for sample selection of Arellano and Bond (1991) (a property also shared by the Anderson and Hsiao,1982, proposal). Alternatively, the system GMM-IV estimator (Arellano and Bover, 1995, and Blundell and Bond, 1998) shows a moderate bias. We perform a Monte Carlo study to evaluate the finite sample properties of the proposed estimators. Our results confirm the absence of bias of the Arellano and Bond estimator under a variety of circumstances, as well as the small bias of the system estimator, mostly due to the correlation between the individual heterogeneity components in both the outcome and selection equations. However, we must not discard the system estimator because, in small samples, its performance is similar to or even better than that of the Arellano-Bond. These results hold in dynamic models with exogenous, predetermined or endogenous covariates. They are especially relevant for practitioners using unbalanced panels when either there is selection of unknown form or when selection is difficult to model.

Suggested Citation

  • Majid M. Al-Sadoon & Sergi Jiménez-Martín & José M Labeaga, 2019. "Simple Methods for Consistent Estimation of Dynamic Panel Data Sample Selection Models," Working Papers 1069, Barcelona Graduate School of Economics.
  • Handle: RePEc:bge:wpaper:1069
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    References listed on IDEAS

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    1. Gayle, George-Levi & Viauroux, Christelle, 2007. "Root-N consistent semiparametric estimators of a dynamic panel-sample-selection model," Journal of Econometrics, Elsevier, vol. 141(1), pages 179-212, November.
    2. Hansen, Lars Peter, 1982. "Large Sample Properties of Generalized Method of Moments Estimators," Econometrica, Econometric Society, vol. 50(4), pages 1029-1054, July.
    3. Arellano, Manuel & Bover, Olympia, 1995. "Another look at the instrumental variable estimation of error-components models," Journal of Econometrics, Elsevier, vol. 68(1), pages 29-51, July.
    4. Anastasia Semykina & Jeffrey M. Wooldridge, 2018. "Binary response panel data models with sample selection and self‐selection," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(2), pages 179-197, March.
    5. Charlier, Erwin & Melenberg, Bertrand & van Soest, Arthur, 2001. "An analysis of housing expenditure using semiparametric models and panel data," Journal of Econometrics, Elsevier, vol. 101(1), pages 71-107, March.
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    7. David Roodman, 2009. "A Note on the Theme of Too Many Instruments," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 71(1), pages 135-158, February.
    8. María Engracia Rochina-Barrachina, 1999. "A New Estimator for Panel Data Sample Selection Models," Annals of Economics and Statistics, GENES, issue 55-56, pages 153-181.
    9. repec:adr:anecst:y:1999:i:55-56:p:06 is not listed on IDEAS
    10. Manuel Arellano & Stephen Bond, 1991. "Some Tests of Specification for Panel Data: Monte Carlo Evidence and an Application to Employment Equations," Review of Economic Studies, Oxford University Press, vol. 58(2), pages 277-297.
    11. Labeaga, Jose M., 1999. "A double-hurdle rational addiction model with heterogeneity: Estimating the demand for tobacco," Journal of Econometrics, Elsevier, vol. 93(1), pages 49-72, November.
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    Cited by:

    1. Jimenez-Martin, Sergi & Nicodemo, Catia & Redding, Stuart, 2019. "Modelling the Dynamic Effects of Elective Hospital Admissions on Emergency Levels in England," IZA Discussion Papers 12340, Institute of Labor Economics (IZA).

    More about this item

    Keywords

    panel data; sample selection; dynamic model; generalized method of moments;

    JEL classification:

    • J52 - Labor and Demographic Economics - - Labor-Management Relations, Trade Unions, and Collective Bargaining - - - Dispute Resolution: Strikes, Arbitration, and Mediation
    • C23 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Models with Panel Data; Spatio-temporal Models
    • C24 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Truncated and Censored Models; Switching Regression Models; Threshold Regression Models

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