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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: http://hi-stat.ier.hit-u.ac.jp/research/discussion/2005/pdf/D05-106.pdf
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    References listed on IDEAS

    as
    1. Lucchetti, Riccardo, 2002. "Inconsistency of naive GMM estimation for QR models with endogenous regressors," Economics Letters, Elsevier, vol. 75(2), pages 179-185, April.
    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, April.
    3. 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.
    4. 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.
    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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    More about this item

    Keywords

    Probit; Continuous endogenous regressor; Moment estimation;
    All these keywords.

    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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