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Indirect Estimation of Semiparametric Binary Choice Models

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  • Joakim Westerlund
  • Per Hjertstrand

Abstract

type="main" xml:lang="en"> One of the most cited studies within the field of binary choice models is that of Klein and Spady (1993), in which the authors propose a semiparametric estimator for use when the distribution of the error term is unknown. However, although theoretically appealing, the estimator has been found to be difficult to implement, and therefore not very attractive from an applied point of view. The current study offers an indirect inference-based solution to this problem. The new estimator is not only simple with good small-sample properties, but also consistent and asymptotically normal.

Suggested Citation

  • Joakim Westerlund & Per Hjertstrand, 2014. "Indirect Estimation of Semiparametric Binary Choice Models," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 76(2), pages 298-314, April.
  • Handle: RePEc:bla:obuest:v:76:y:2014:i:2:p:298-314
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    File URL: http://hdl.handle.net/10.1111/obes.12000
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    References listed on IDEAS

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    1. Chen, Songnian, 2000. "Efficient estimation of binary choice models under symmetry," Journal of Econometrics, Elsevier, vol. 96(1), pages 183-199, May.
    2. Klein, Roger W & Spady, Richard H, 1993. "An Efficient Semiparametric Estimator for Binary Response Models," Econometrica, Econometric Society, vol. 61(2), pages 387-421, March.
    3. Naércio Aquino Menezes-Filho & Marc-Andreas Muendler & Garey Ramey, 2008. "The Structure of Worker Compensation in Brazil, with a Comparison to France and the United States," The Review of Economics and Statistics, MIT Press, vol. 90(2), pages 324-346, May.
    4. Rothe, Christoph, 2009. "Semiparametric estimation of binary response models with endogenous regressors," Journal of Econometrics, Elsevier, vol. 153(1), pages 51-64, November.
    5. Giuseppe De Luca, 2008. "SNP and SML estimation of univariate and bivariate binary-choice models," Stata Journal, StataCorp LLC, vol. 8(2), pages 190-220, June.
    6. Gerfin, Michael, 1996. "Parametric and Semi-parametric Estimation of the Binary Response Model of Labor Market Participation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 11(3), pages 321-339, May-June.
    7. Mealli, Fabrizia & Rampichini, Carla, 1999. "Estimating binary multilevel models through indirect inference," Computational Statistics & Data Analysis, Elsevier, vol. 29(3), pages 313-324, January.
    8. Fermanian, Jean-David & Salanié, Bernard, 2004. "A Nonparametric Simulated Maximum Likelihood Estimation Method," Econometric Theory, Cambridge University Press, vol. 20(4), pages 701-734, August.
    9. Maria Fraga O. Martins, 2001. "Parametric and semiparametric estimation of sample selection models: an empirical application to the female labour force in Portugal," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(1), pages 23-39.
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    Cited by:

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    2. P Čížek & S Sadıkoğlu, 2022. "Misclassification-robust semiparametric estimation of single-index binary-choice models [Local NLLS estimation of semi-parametric binary choice models]," The Econometrics Journal, Royal Economic Society, vol. 25(2), pages 433-454.

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