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Finite sample behavior of two step estimators in selection models

Author

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  • Fernández Sainz, Ana Isabel
  • Rodríguez Poo, Juan M.
  • Villanúa Martín, Inmaculada

Abstract

The problem of specification errors in sample selection models has received considerable attention both theoretically and empirically. However, very few is known about the finite sample behavior of two step estimators. In this paper we investigate by simulations both bias and finite sample distribution of these estimators when ignoring heteroskedasticity in the sample selection mechanism. It turns out that under conditions traditionally faced by practitioners, the misspecified parametric two step estimator (Heckman, 1979) performs better, in finite sample sizes, than the robust semiparametric one (Ahn and Powell, 1993). Moreover, under very general conditions, we show that the asymptotic bias of the parametric two step estimator is linear in the covariance between the sample selection and the participation equation.

Suggested Citation

  • Fernández Sainz, Ana Isabel & Rodríguez Poo, Juan M. & Villanúa Martín, Inmaculada, 1999. "Finite sample behavior of two step estimators in selection models," BILTOKI 1134-8984, Universidad del País Vasco - Departamento de Economía Aplicada III (Econometría y Estadística).
    • Handle: RePEc:ehu:biltok:5905
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    References listed on IDEAS

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    1. Ana Fernandez & Juan Rodriquez-Poo, 1997. "Estimation and specification testing in female labor participation models: parametric and semiparametric methods," Econometric Reviews, Taylor & Francis Journals, vol. 16(2), pages 229-247.
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    7. James Heckman, 2013. "Sample selection bias as a specification error," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 31(3), pages 129-137.
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    Cited by:

    1. Olivier Dagnelie & Philippe Lemay‐Boucher, 2012. "Rosca Participation in Benin: A Commitment Issue," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(2), pages 235-252, April.
    2. Olivier Dagnelie & Philippe LeMay-Boucher, 2007. "ROSCA Participation in Benin: A Commitment Issue," CERT Discussion Papers 0708, Centre for Economic Reform and Transformation, Heriot Watt University.
    3. Lee Adkins & R. Carter Hill, 2007. "Bootstrap Inferences in Heteroscedastic Sample Selection Models: A Monte Carlo Investigation," Economics Working Paper Series 0710, Oklahoma State University, Department of Economics and Legal Studies in Business.
    4. Philippe LeMay-Boucher, 2007. "Insurance for the Poor: The Case of Informal Insurance Groups in Benin," CERT Discussion Papers 0707, Centre for Economic Reform and Transformation, Heriot Watt University.

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