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The Behavior of the Maximum Likelihood Estimator of Dynamic Panel Data Sample Selection Models

  • Mohnen, Pierre


    (UNU-MERIT and University of Maastricht)

  • Raymond, Wladimir


    (University of Maastricht)

  • Palm, Franz


    (University of Maastricht)

  • Schim van der Loeff, Sybrand


    (University of Maastricht)

This paper proposes a method to implement maximum likelihood estimation of the dynamic panel data type 2 and 3 tobit models. The likelihood function involves a two-dimensional indefinite integral evaluated using "two-step" Gauss-Hermite quadrature. A Monte Carlo study shows that the quadrature works well in finite sample for a number of evaluation points as small as two. Incorrectly ignoring the individual effects, or the dependence between the initial conditions and the individual effects results in an overestimation of the coefficients of the lagged dependent variables. An application to incremental and radical product innovations by Dutch business firms illustrates the method.

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Paper provided by United Nations University - Maastricht Economic and Social Research Institute on Innovation and Technology (MERIT) in its series MERIT Working Papers with number 007.

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Date of creation: 2007
Date of revision:
Handle: RePEc:unm:unumer:2007007
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  1. Vella, Francis & Verbeek, Marno, 1999. "Two-step estimation of panel data models with censored endogenous variables and selection bias," Journal of Econometrics, Elsevier, vol. 90(2), pages 239-263, June.
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  3. Wladimir Raymond & Pierre Mohnen & Franz Palm & Sybrand Schim van der Loeff, 2006. "Persistence of Innovation in Dutch Manufacturing: Is it Spurious?," CESifo Working Paper Series 1681, CESifo Group Munich.
  4. Thierry Magnac, 2004. "Panel Binary Variables and Sufficiency: Generalizing Conditional Logit," Econometrica, Econometric Society, vol. 72(6), pages 1859-1876, November.
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  13. Kyriazidou, Ekaterini, 2001. "Estimation of Dynamic Panel Data Sample Selection Models," Review of Economic Studies, Wiley Blackwell, vol. 68(3), pages 543-72, July.
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  15. William Greene, 2004. "The behaviour of the maximum likelihood estimator of limited dependent variable models in the presence of fixed effects," Econometrics Journal, Royal Economic Society, vol. 7(1), pages 98-119, 06.
  16. Wooldridge, Jeffrey M., 1995. "Selection corrections for panel data models under conditional mean independence assumptions," Journal of Econometrics, Elsevier, vol. 68(1), pages 115-132, July.
  17. Arellano, Manuel & Honore, Bo, 2001. "Panel data models: some recent developments," Handbook of Econometrics, in: J.J. Heckman & E.E. Leamer (ed.), Handbook of Econometrics, edition 1, volume 5, chapter 53, pages 3229-3296 Elsevier.
  18. Francis Vella, 1998. "Estimating Models with Sample Selection Bias: A Survey," Journal of Human Resources, University of Wisconsin Press, vol. 33(1), pages 127-169.
  19. Chamberlain, Gary, 1980. "Analysis of Covariance with Qualitative Data," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 225-38, January.
  20. Dustmann, Christian & Rochina-Barrachina, María Engracia, 2000. "Selection Correction in Panel Data Models: An Application to Labour Supply and Wages," IZA Discussion Papers 162, Institute for the Study of Labor (IZA).
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  22. Rabe-Hesketh, Sophia & Skrondal, Anders & Pickles, Andrew, 2005. "Maximum likelihood estimation of limited and discrete dependent variable models with nested random effects," Journal of Econometrics, Elsevier, vol. 128(2), pages 301-323, October.
  23. Christelle Viauroux, G.L. Gayle, 2004. "Root-N Consistent Semiparametric Eestimators of a Dynamic Panel Sample Selection Model," University of Cincinnati, Economics Working Papers Series 2004-05, University of Cincinnati, Department of Economics.
  24. Heckman, James J & Macurdy, Thomas E, 1980. "A Life Cycle Model of Female Labour Supply," Review of Economic Studies, Wiley Blackwell, vol. 47(1), pages 47-74, January.
  25. Vella, F. & Verbeek, M.J.C.M., 1999. "Two-step estimation of panel data models with censored endogenous variables and selection bias," Other publications TiSEM 5aad87bc-25d1-49bc-882b-c, Tilburg University, School of Economics and Management.
  26. Hausman, Jerry A & Wise, David A, 1979. "Attrition Bias in Experimental and Panel Data: The Gary Income Maintenance Experiment," Econometrica, Econometric Society, vol. 47(2), pages 455-73, March.
  27. Ai, Chunrong & Chen, Chaoying, 1992. "Estimation of a fixed effects bivariate censored regression model," Economics Letters, Elsevier, vol. 40(4), pages 403-406, December.
  28. Nijman, Theo & Verbeek, Marno, 1992. "Nonresponse in Panel Data: The Impact on Estimates of a Life Cycle Consumption Function," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(3), pages 243-57, July-Sept.
  29. Amemiya, Takeshi, 1984. "Tobit models: A survey," Journal of Econometrics, Elsevier, vol. 24(1-2), pages 3-61.
  30. Verbeek, Marno, 1990. "On the estimation of a fixed effects model with selectivity bias," Economics Letters, Elsevier, vol. 34(3), pages 267-270, November.
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