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Some identification results in a correlated random coefficients sample selection model

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  • Zhu, Xun
  • Jin, Zequn

Abstract

This paper studies the linear correlated random coefficients model subject to sample selection. The random coefficients can be correlated with one or more covariate components. To address the endogeneity of the covariates, we employ the control function approach, while correcting for sample selection by applying the method of local instrumental variables. We establish that, under particular regularity conditions, the average partial effects and several counterfactual parameters can be identified.

Suggested Citation

  • Zhu, Xun & Jin, Zequn, 2023. "Some identification results in a correlated random coefficients sample selection model," Economics Letters, Elsevier, vol. 233(C).
    • Handle: RePEc:eee:ecolet:v:233:y:2023:i:c:s0165176523004184
    DOI: 10.1016/j.econlet.2023.111392
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    References listed on IDEAS

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    1. Guido W. Imbens & Whitney K. Newey, 2009. "Identification and Estimation of Triangular Simultaneous Equations Models Without Additivity," Econometrica, Econometric Society, vol. 77(5), pages 1481-1512, September.
    2. Matthew A. Masten & Alexander Torgovitsky, 2016. "Identification of Instrumental Variable Correlated Random Coefficients Models," The Review of Economics and Statistics, MIT Press, vol. 98(5), pages 1001-1005, December.
    3. Wooldridge, Jeffrey M., 2003. "Further results on instrumental variables estimation of average treatment effects in the correlated random coefficient model," Economics Letters, Elsevier, vol. 79(2), pages 185-191, May.
    4. Zhang, Zhengyu & Jin, Zequn & Mu, Beili, 2022. "Identification And Estimation In A Correlated Random Coefficients Transformation Model," Econometric Theory, Cambridge University Press, vol. 38(4), pages 621-688, August.
    5. Carneiro, Pedro & Lee, Sokbae, 2009. "Estimating distributions of potential outcomes using local instrumental variables with an application to changes in college enrollment and wage inequality," Journal of Econometrics, Elsevier, vol. 149(2), pages 191-208, April.
    6. James Heckman & Edward Vytlacil, 1998. "Instrumental Variables Methods for the Correlated Random Coefficient Model: Estimating the Average Rate of Return to Schooling When the Return is Correlated with Schooling," Journal of Human Resources, University of Wisconsin Press, vol. 33(4), pages 974-987.
    7. Hoderlein, Stefan & Sherman, Robert, 2015. "Identification and estimation in a correlated random coefficients binary response model," Journal of Econometrics, Elsevier, vol. 188(1), pages 135-149.
    8. Heckman, James J, 1974. "Shadow Prices, Market Wages, and Labor Supply," Econometrica, Econometric Society, vol. 42(4), pages 679-694, July.
    9. Wooldridge, Jeffrey M., 1997. "On two stage least squares estimation of the average treatment effect in a random coefficient model," Economics Letters, Elsevier, vol. 56(2), pages 129-133, October.
    10. Jeffrey M. Wooldridge, 2008. "Instrumental variables estimation of the average treatment effect in the correlated random coefficient model," Advances in Econometrics, in: Modelling and Evaluating Treatment Effects in Econometrics, pages 93-116, Emerald Group Publishing Limited.
    11. Zhengyu Zhang & Zequn Jin, 2020. "Identification and estimation in a linear correlated random coefficients model with censoring," Econometric Reviews, Taylor & Francis Journals, vol. 39(2), pages 196-213, February.
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    More about this item

    Keywords

    Correlated random coefficient; Sample selection; Control function; Local instrumental variable; Average partial effect;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C31 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models; Quantile Regressions; Social Interaction Models
    • C36 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Instrumental Variables (IV) Estimation

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