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Bootstrapping the GMM overidentification test under first-order underidentification

Prosper Dovonon and Sílvia Gonçalves

Journal of Econometrics, 2017, vol. 201, issue 1, 43-71

Abstract: The main contribution of this paper is to study the applicability of the bootstrap to estimating the distribution of the standard test of overidentifying restrictions of Hansen (1982) when the model is globally identified but the rank condition fails to hold (lack of first-order local identification). An important example for which these conditions are verified is the popular test of common conditionally heteroskedastic features proposed by Engle and Kozicki (1993). As Dovonon and Renault (2013b) show, the Jacobian matrix for this model is identically zero at the true parameter value, resulting in a highly nonstandard limiting distribution that complicates the computation of critical values.

Keywords: GMM; GMM overidentification test; Rank deficiency; Second-order local identification; Bootstrap (search for similar items in EconPapers)
Date: 2017
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