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Inconsistency of naive GMM estimation for QR models with endogenous regressors

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  • Lucchetti, Riccardo

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.

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Bibliographic Info

Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 75 (2002)
Issue (Month): 2 (April)
Pages: 179-185

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Handle: RePEc:eee:ecolet:v:75:y:2002:i:2:p:179-185

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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. 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. 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.
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Cited by:
  1. Francesca Modena & Concetta Rondinelli & Fabio Sabatini, 2012. "Economic insecurity and fertility intentions: the case of Italy," EERI Research Paper Series EERI_RP_2012_18, Economics and Econometrics Research Institute (EERI), Brussels.
  2. Nicola MATTEUCCI & Alessandro STERLACCHINI, 2003. "ICT and Employment Growth in Italian Industries," Working Papers 193, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
  3. Elvio MATTIOLI, 2003. "The measurement of coherence in the evaluation of criteria and its effects or ranking problems illustrated using a multicriteria decision method," Working Papers 199, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.
  4. Joachim Wilde, 2008. "A note on GMM estimation of probit models with endogenous regressors," Statistical Papers, Springer, vol. 49(3), pages 471-484, July.
  5. Modena, Francesca & Sabatini, Fabio, 2010. "I Would if I Could: Precarious Employment and Childbearing Intentions in Italy," MPRA Paper 26117, University Library of Munich, Germany.
  6. Ugo Fratesi, 2003. "Innovation Diffusion and the Evolution of Regional Disparities," ERSA conference papers ersa03p327, European Regional Science Association.
  7. Massimiliano Bratti, 2003. "Labour force participation and marital fertility of Italian women: The role of education," Journal of Population Economics, Springer, vol. 16(3), pages 525-554, 08.
  8. 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.
  9. Marcello MESSORI & Alberto ZAZZARO, 2004. "Monetary profits within the circuit: Ponzi finance oer "mors tua, vita mea"?," Working Papers 200, Universita' Politecnica delle Marche (I), Dipartimento di Scienze Economiche e Sociali.

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