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Detecting lack of identification in GMM

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Jonathan H. Wright

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Abstract

In the standard linear instrumental variables regression model, it must be assumed that the instruments are correlated with the endogenous variables in order to ensure the consistency and asymptotic normality of the usual instrumental variables estimator. Indeed, if the instruments are only slightly correlated with the endogenous variables, the conventional Gaussian asymptotic theory may still provide a very poor approximation to the finite sample distribution of the usual instrumental variables estimator. Because of the crucial role of this identification condition, it is common to test for instrument relevance by a first-stage F-test. Identification issues also arise in the generalized method of moments model, of which the linear instrumental variables model is a special case. But I know of no means, in the existing literature, of testing for identification in this model. This paper proposes a test of the null of underidentification in the generalized method of moments model.

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Paper provided by Board of Governors of the Federal Reserve System (U.S.) in its series International Finance Discussion Papers with number 674.

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Date of creation: 2000
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Handle: RePEc:fip:fedgif:674

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Keywords: Econometric models ; Econometrics;

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  1. Richard Paap & Frank Kleibergen, 2004. "Generalized Reduced Rank Tests using the Singular Value Decomposition," Econometric Society 2004 Australasian Meetings 195, Econometric Society. [Downloadable!]
    Other versions:
  2. A. Craig Burnside, 2007. "Empirical Asset Pricing and Statistical Power in the Presence of Weak Risk Factors," NBER Working Papers 13357, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  3. Fabio Canova & Luca Sala, 2006. "Back to Square One: Identification Issues in DSGE Models," Working Papers 303, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University. [Downloadable!]
    Other versions:
  4. Jean-Marie Dufour & Lynda Khalaf & Maral Kichian, 2005. "Inflation Dynamics and the New Keynesian Phillips Curve: An Identification-Robust Econometric Analysis," Working Papers 05-27, Bank of Canada. [Downloadable!]
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