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Standard Error Correction in Two-Stage Optimization Models: A Quasi-Maximum Likelihood Estimation Approach

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  • Fernando Rios-Avila
  • Gustavo J. Canavire-Bacarreza

Abstract

Following Wooldridge (2014), we discuss and implement in Stata an efficient maximum likelihood approach to the estimation of corrected standard errors of two-stage optimization models. Specifically, we compare the robustness and efficiency of this estimate using different non-linear routines already implemented in Stata such as ivprobit, ivtobit, ivpoisson, heckman, and ivregress.

Suggested Citation

  • Fernando Rios-Avila & Gustavo J. Canavire-Bacarreza, 2017. "Standard Error Correction in Two-Stage Optimization Models: A Quasi-Maximum Likelihood Estimation Approach," Documentos de Trabajo CIEF 015659, Universidad EAFIT.
    • Handle: RePEc:col:000122:015659
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    File URL: https://repository.eafit.edu.co/handle/10784/11432#.WWk0etPyvq0
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    References listed on IDEAS

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    1. James W. Hardin, 2002. "The robust variance estimator for two-stage models," Stata Journal, StataCorp LP, vol. 2(3), pages 253-266, August.
    2. Murphy, Kevin M & Topel, Robert H, 2002. "Estimation and Inference in Two-Step Econometric Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 20(1), pages 88-97, January.
    3. Newey, Whitney K., 1987. "Efficient estimation of limited dependent variable models with endogenous explanatory variables," Journal of Econometrics, Elsevier, vol. 36(3), pages 231-250, November.
    4. Heckman, James, 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.
    5. John Mullahy, 1997. "Instrumental-Variable Estimation Of Count Data Models: Applications To Models Of Cigarette Smoking Behavior," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 586-593, November.
    6. Arne Risa Hole, 2006. "Calculating Murphy-Topel variance estimates in Stata: A simplified procedure," Stata Journal, StataCorp LP, vol. 6(4), pages 521-529, December.
    7. Terza, Joseph V. & Basu, Anirban & Rathouz, Paul J., 2008. "Two-stage residual inclusion estimation: Addressing endogeneity in health econometric modeling," Journal of Health Economics, Elsevier, vol. 27(3), pages 531-543, May.
    8. Jeffrey M. Wooldridge, 2015. "Control Function Methods in Applied Econometrics," Journal of Human Resources, University of Wisconsin Press, vol. 50(2), pages 420-445.
    9. Wooldridge, Jeffrey M., 2014. "Quasi-maximum likelihood estimation and testing for nonlinear models with endogenous explanatory variables," Journal of Econometrics, Elsevier, vol. 182(1), pages 226-234.
    10. White, Halbert, 1982. "Maximum Likelihood Estimation of Misspecified Models," Econometrica, Econometric Society, vol. 50(1), pages 1-25, January.
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    1. Fernando Rios-Avila & Gustavo Canavire-Bacarreza, 2020. "The Effect of Immigration on Labor Market Transitions of Native-Born Unemployed in the United States," Journal of Labor Research, Springer, vol. 41(3), pages 295-331, September.

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