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On intercept estimation in the sample selection model

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  • Schafgans, Marcia M. A.
  • Zinde-Walsh, Victoria

Abstract

We provide a proof of the consistency and asymptotic normality of the estimator suggested by Heckman (1990) for the intercept of a semiparametrically estimated sample selection model. The estimator is based on 'identification at infinity' which leads to non-standard convergence rate. Andrews and Schafgans (1998) derived asymptotic results for a smoothed version of the estimator. We examine the optimal bandwidth selection for the estimators and derive asymptotic MSE rates under a wide class of distributional assumptions. We also provide some comparisons of the estimators and practical guidelines.

Suggested Citation

  • Schafgans, Marcia M. A. & Zinde-Walsh, Victoria, 2000. "On intercept estimation in the sample selection model," LSE Research Online Documents on Economics 6868, London School of Economics and Political Science, LSE Library.
    • Handle: RePEc:ehl:lserod:6868
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    References listed on IDEAS

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    1. Andrews, Donald W K, 1991. "Asymptotic Normality of Series Estimators for Nonparametric and Semiparametric Regression Models," Econometrica, Econometric Society, vol. 59(2), pages 307-345, March.
    2. Moshe Buchinsky, 1998. "The dynamics of changes in the female wage distribution in the USA: a quantile regression approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(1), pages 1-30.
    3. Donald W. K. Andrews & Marcia M. A. Schafgans, 1998. "Semiparametric Estimation of the Intercept of a Sample Selection Model," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 65(3), pages 497-517.
    4. Lung-Fei Lee, 1982. "Some Approaches to the Correction of Selectivity Bias," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 49(3), pages 355-372.
    5. Robinson, Peter M, 1988. "Root- N-Consistent Semiparametric Regression," Econometrica, Econometric Society, vol. 56(4), pages 931-954, July.
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    Citations

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    Cited by:

    1. Alpert, Abby & Powell, David, 2014. "Estimating Intensive and Extensive Tax Responsiveness: Do Older Workers Respond to Income Taxes?," Working Papers 987-1, RAND Corporation.
    2. D’Haultfœuille, Xavier & Maurel, Arnaud & Zhang, Yichong, 2018. "Extremal quantile regressions for selection models and the black–white wage gap," Journal of Econometrics, Elsevier, vol. 203(1), pages 129-142.
    3. Zhewen Pan, 2023. "On semiparametric estimation of the intercept of the sample selection model: a kernel approach," Papers 2302.05089, arXiv.org.
    4. Abby Alpert & David Powell, 2020. "Estimating Intensive And Extensive Tax Responsiveness," Economic Inquiry, Western Economic Association International, vol. 58(4), pages 1855-1873, October.
    5. Abby Alpert & David Powell, 2014. "Estimating Intensive and Extensive Tax Responsiveness Do Older Workers Respond to Income Taxes?," Working Papers WR-987-1, RAND Corporation.
    6. Katrin Hussinger, 2008. "R&D and subsidies at the firm level: an application of parametric and semiparametric two-step selection models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(6), pages 729-747.
    7. Biavaschi, Costanza, 2016. "Recovering the counterfactual wage distribution with selective return migration," Labour Economics, Elsevier, vol. 38(C), pages 59-80.
    8. Vuong Quoc, Duy, 2012. "Determinants of household access to formal credit in the rural areas of the Mekong Delta, Vietnam," MPRA Paper 38202, University Library of Munich, Germany.
    9. Abby Alpert & David Powell, 2012. "Tax Elasticity of Labor Earnings for Older Individuals," Working Papers wp272, University of Michigan, Michigan Retirement Research Center.
    10. Marcia M. A. Schafgans, 2004. "Finite sample properties for the semiparametric estimation of the intercept of a censored regression model," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(1), pages 35-56, February.
    11. Arulampalam, Wiji & Corradi, Valentina & Gutknecht, Daniel, 2021. "Intercept Estimation in Nonlinear Selection Models," IZA Discussion Papers 14364, Institute of Labor Economics (IZA).
    12. McGovern, Mark E. & Canning, David & Bärnighausen, Till, 2018. "Accounting for non-response bias using participation incentives and survey design: An application using gift vouchers," Economics Letters, Elsevier, vol. 171(C), pages 239-244.
    13. Samuel Sekyi, 2017. "Rural Households' Credit Access and Loan Amount in Wa Municipality, Ghana," International Journal of Economics and Financial Issues, Econjournals, vol. 7(1), pages 506-514.
    14. Mark McGovern & David Canning & Till Bärnighausen, 2018. "Accounting for Non-Response Bias using Participation Incentives and Survey Design," CHaRMS Working Papers 18-02, Centre for HeAlth Research at the Management School (CHaRMS).
    15. Malmendier, Ulrike M. & Botsch, Matthew J., 2020. "The Long Shadows of the Great Inflation: Evidence from Residential Mortgages," CEPR Discussion Papers 14934, C.E.P.R. Discussion Papers.

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    More about this item

    Keywords

    Asymptotic normality; sample selection model; semiparametric estimation;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C34 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Truncated and Censored Models; Switching Regression Models
    • C35 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions

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