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The efficient moment estimation of the probit model with an endogenous continuous regressor

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  • Daiji Kawaguchi
  • Hisahiro Naito

Abstract

We propose an efficient moment estimator for the probit model with a continuous endogenous regressor. The estimation can be readily implemented using a standard statistical package that can estimate a non-linear system two-stage least squares (instrumental variable) estimator.

Suggested Citation

  • Daiji Kawaguchi & Hisahiro Naito, 2005. "The efficient moment estimation of the probit model with an endogenous continuous regressor," Hi-Stat Discussion Paper Series d05-106, Institute of Economic Research, Hitotsubashi University.
    • Handle: RePEc:hst:hstdps:d05-106
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    File URL: https://hit-u.repo.nii.ac.jp/record/2050690/files/D05-106.pdf
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    References listed on IDEAS

    as
    1. 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.
    2. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, December.
    3. Lucchetti, Riccardo, 2002. "Inconsistency of naive GMM estimation for QR models with endogenous regressors," Economics Letters, Elsevier, vol. 75(2), pages 179-185, April.
    4. Rivers, Douglas & Vuong, Quang H., 1988. "Limited information estimators and exogeneity tests for simultaneous probit models," Journal of Econometrics, Elsevier, vol. 39(3), pages 347-366, November.
    5. Grogger, Jeffrey, 1990. "A simple test for exogeneity in probit, logit, and poisson regression models," Economics Letters, Elsevier, vol. 33(4), pages 329-332, August.
    6. Dagenais, Marcel G., 1999. "Inconsistency of a proposed nonlinear instrumental variables estimator for probit and logit models with endogenous regressors," Economics Letters, Elsevier, vol. 63(1), pages 19-21, April.
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    Cited by:

    1. Joachim Wilde, 2008. "A note on GMM estimation of probit models with endogenous regressors," Statistical Papers, Springer, vol. 49(3), pages 471-484, July.

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    Keywords

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    JEL classification:

    • C25 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Discrete Regression and Qualitative Choice Models; Discrete Regressors; Proportions; Probabilities

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