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Inconsistency Of Naive GMM Estimation For QR Models With Endogenous Regressors

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  • Riccardo LUCCHETTI

    (Universita' Politecnica delle Marche, Dipartimento di Economia)

Abstract

A naive GMM approach to estimating QR (logit and probit) models with endogenous explanatory variables can lead to inconsistent estimators. This result was previously shown by Dagenais via simulation. In this paper, a special case is presented for which an analytical proof is possible; it turns out that the estimator is indeed inconsistent, but the framework analysed here can be useful for hypothesis testing. Un approccio GMM `naive' per la stima di modelli QR con regressori endogeni porta a stimatori inconsistenti. Questo risultato, ottenuto via simulazione da Dagenais, viene qui provato analiticamente in un caso particolare. Si ha che lo stimatore in effetti inconsitente, ma pu essere di una qualche utilit per la prova di ipotesi.

Suggested Citation

  • Riccardo LUCCHETTI, 2000. "Inconsistency Of Naive GMM Estimation For QR Models With Endogenous Regressors," Working Papers 140, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
    • Handle: RePEc:anc:wpaper:140
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    References listed on IDEAS

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    1. Lewbel, Arthur, 2000. "Semiparametric qualitative response model estimation with unknown heteroscedasticity or instrumental variables," Journal of Econometrics, Elsevier, vol. 97(1), pages 145-177, July.
    2. 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.
    3. 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:

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    5. Francesca Modena & Concetta Rondinelli & Fabio Sabatini, 2014. "Economic Insecurity and Fertility Intentions: The Case of Italy," Review of Income and Wealth, International Association for Research in Income and Wealth, vol. 60(S1), pages 233-255, May.
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    7. Massimiliano Bratti, 2003. "Labour force participation and marital fertility of Italian women: The role of education," Journal of Population Economics, Springer;European Society for Population Economics, vol. 16(3), pages 525-554, August.
    8. Daiji Kawaguchi & Yukitoshi Matsushita & Hisahiro Naito, 2017. "Moment Estimation of the Probit Model with an Endogenous Continuous Regressor," The Japanese Economic Review, Springer, vol. 68(1), pages 48-62, March.
    9. Joachim Wilde, 2008. "A note on GMM estimation of probit models with endogenous regressors," Statistical Papers, Springer, vol. 49(3), pages 471-484, July.
    10. 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.
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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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