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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. 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.
    2. 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.
    3. 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.
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    Cited by:

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    6. 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.
    7. Francesca Modena & Fabio Sabatini, 2012. "I would if I could: precarious employment and childbearing intentions in Italy," Review of Economics of the Household, Springer, vol. 10(1), pages 77-97, March.
    8. Ashworth, John & Geys, Benny & Heyndels, Bruno, 2006. "Determinants of tax innovation: The case of environmental taxes in Flemish municipalities," European Journal of Political Economy, Elsevier, vol. 22(1), pages 223-247, March.
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    10. Stefania BUSSOLETTI & Roberto ESPOSTI, 2004. "Regional Convergence, Structural Funds and the Role of Agricolture in the EU. A Panel-Data Approach," Working Papers 220, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
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    More about this item

    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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