An Empirical Investigation of Parametric and Semiparametric Estimation Methods in Sample Selection Models

  1. Fernández Sáinz, Ana
  2. Rodríguez-Poo, Juan M.
Revista:
Revista de métodos cuantitativos para la economía y la empresa

ISSN: 1886-516X

Año de publicación: 2010

Volumen: 10

Páginas: 99-120

Tipo: Artículo

Otras publicaciones en: Revista de métodos cuantitativos para la economía y la empresa

Resumen

En este trabajo se analizan empíricamente distintas especificaciones de un modelo de selección muestral. Estamos interesados en conocer cómo las estimaciones de los parámetros varían en función de supuestos alternativos sobre la distribución condicional conjunta de los errores de la ecuación de selección, de la forma funcional de la función índice y la heteroscedasticidad. Para el análisis, estimamos una ecuación de salarios para el mercado de trabajo español usado dos enfoques distintos: máxima-verosimilitud y métodos en dos etapas. Para el caso de la estimación en etapas, consideramos tres procedimientos semiparamétricos alternativos para el cómputo del mecanismo de selección. Así, se obtienen tres estimadores en dos etapas de los parámetros de la ecuación de salarios. Comparamos las estimaciones con la obtenidas siguiendo el método de Heckman.

Referencias bibliográficas

  • Ahn, H., Powell, J. (1993) Semiparametric estimations of censored selection models with a nonparametric selection mechanism. Journal of Econometrics 58: 3–29.
  • Andrews D.W., Schafgans, M. (1998) Semiparametric estimation of the intercept of a sample selection model. Review of Economic Studies 65: 497–515.
  • Amemiya, T. (1985) Advanced Econometrics. Cambridge MA: Harvard University Press.
  • Chen, S., Lee, L.F. (1998) Efficient semiparametric scoring of sample selection models. Econometric Theory 14: 423–462.
  • Coelho, D., Veiga, H., Veszteg, R. (2005) Parametric and semiparametric estimation of sample selection models: an empirical apllication to the female labour force in Portugal. Working paper 636.05. Universitat Autonoma de Barcelona.
  • Das, M., Newey, W.K., Vella, F. (2000) Nonparametric estimation of sample selection models. Unpublished manuscript.
  • Fernández, A., Rodríguez-Póo, J. (1997) Estimation and Specification Testing in Female Labor Participation Models: Parametric and Semiparametric Methods. Econometric Reviews 16: 229–248.
  • Fernández, A., Rodríguez-Póo, J., Villanua, I. (2002) Finite sample behaviour of two step estimators in sample selection models. Computational Statistics 76: 1–16.
  • Gerfin, M. (1996) Parametric and Semi-parametric Estimation of the Binary Response Model of Labor Market Participation. Journal of Applied Econometrics 11: 321–339.
  • Goldberger, A. (1983) Abnormal Selection Bias. In S. Karlin, T. Amemiya and L. Goodman (eds.). Studies in Econometrics, Time Series and Multivariate Statistics. Academic Press. New York.
  • Gourieroux, C., Monfort, A. (1995) Statistics and econometric models. Vol. I, Cambridge University Press.
  • Gronau, R. (1973) The effect of children on the housewifes value of time. Journal of Political Economy 81: 168–99.
  • Gronau, R. (1974) Wage comparisons –a selectivity bias. Journal of Political Economy 82: 1119–1143.
  • Hansen, L.P. (1982) Large sample properties of generalized method of moments estimators. Econometrica 50: 1029–1054.
  • Härdle, W., Stoker, T.M. (1989) Investigating Smooth Multiple Regression by the Method of Average Derivatives. J.A.S.A. 84: 986–995.
  • Heckman, J. (1974) Shadow prices, market wages and labor supply. Econometrica 42: 679–694.
  • Heckman, J. (1979) Sample selection bias as a specification error. Econometrica 47: 153–161.
  • Horowitz, J., Härdle, W. (1994) Testing a parametric model against a semiparametric alternative. Econometric Theory 10: 821–848.
  • Horowitz, J., Härdle, W. (1996) Direct semiparametric estimation of single index models with discrete covariates. J.A.S.A 91: 1632–1641.
  • Hurd, M. (1979) Estimation in truncated samples where there is heteroskedasticity. Journal of Econometrics 11: 247–258.
  • I.N.E. (1990) Encuesta de Población Activa y Encuesta Anexa sobre Ganancias y Subempleo.
  • Klein, R.L., Spady, R.H. (1993) An Efficient Semiparametric Estimator for the Binary Response Model. Econometrica 61: 387–421.
  • Lewbel, A. (2007) Endogenous selection or treatment model estimation. Journal of Econometrics 141: 777–806.
  • Manski, C.F. (1975) Maximum Score Estimator of the Stochastic Utility model of Choice. Journal of Econometrics 3: 205–228.
  • Manski, C.F. (1988) Identification of Binary Response Models. J.A.S.A. 8: 729–738.
  • Manski, C.F. (1993) The Selection Problem in Econometrics and Statistics. In G. S. Maddala, C.R. Rao and H.D. Vinod (eds.). Handbook of Statistics 11. Elsevier Science Publishers.
  • Martins, M.F.O. (2001) Parametric and Semiparametric Estimation of Sample Selection Models: An Empirical Application to the Female Labour Force in Portugal. Journal of Applied Econometrics 16: 23–39.
  • Melenberg, B., van Soest, A. (1993) Semi-parametric estimation of the sample selection model. CentER Discussion Paper 9334, Tilburg University.
  • Nawata, K., Nagase, N. (1996) Estimation of sample selection bias models. Econometric Reviews 15: 387–400.
  • Newey, W.K. (1987) Specification Test for Distributional Assumptions in the Tobit Model. Journal of Econometrics 34: 125–145.
  • Newey, W.K. (1991) Two-step series estimation of sample selection models. Working paper, MIT.
  • Newey, W.K. (1999) Consistency of two step sample selection estimators despite misspecification of distributions. Economics Letters 63: 129–132.
  • Olsen, R.J. (1981) A least squares correction for selectivity bias. Econometrica 48: 1815–1820.
  • Powell, J.L. (1987) Semiparametric estimation of bivariate latent variable models. Working Paper 8704. University of Wisconsin-Madison.
  • Powell, J.L., Stock, J.H., Stoker, T.M. (1989) Semiparametric estimation of index coefficients. Econometrica 57: 1403–1430.
  • Proença, I., Ritter, Ch. (1994) Semiparametric Testing of the Link Function in Models for Binary Outcomes. Discussion Paper 17. Humboldt Uinversität zu Berlin. S.F.B.
  • Vella, F. (1998) Estimating models with sample selection bias: a survey. Journal of Human Resources, 33(1): 127–169.
  • White, H. (1980) A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity. Econometrica 48: 817–838