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Detecting Identification Failure in Moment Condition Models

Jean-Jacques Forneron

arXiv 30 Jul 2019 · Econometrics

arXiv:1907.13093 · PDF · Extracted main text

Abstract

This paper develops an approach to detect identification failure in moment condition models. This is achieved by introducing a quasi-Jacobian matrix computed as the slope of a linear approximation of the moments on an estimate of the identified set. It is asymptotically singular when local and/or global identification fails, and equivalent to the usual Jacobian matrix which has full rank when the model is point and locally identified. Building on this property, a simple test with chi-squared critical values is introduced to conduct subvector inferences allowing for strong, semi-strong, and weak identification without a priori knowledge about the underlying identification structure. Monte-Carlo simulations and an empirical application to the Long-Run Risks model illustrate the results.

Citation extraction

65
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109
in-text mentions
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Most heavily cited references

The works this paper leans on most, across its whole bibliography — not restricted to papers in our corpus. Ranked by composite intensity, which combines how often a work is mentioned, how many sections mention it, and how much of that falls in the main text rather than the appendix.

ReferenceIntensityMentionsSectionsMain text
1Andrews, D. W. and X. Cheng (2012) Estimation and Inference With Weak, Semi-Strong, and Strong Identification0.90912475%
2Wright, J. H (2003) Detecting Lack of Identification in GMM0.87452100%
3Bansal, R. and A. Yaron (2004) Risks for the long run: A potential resolution of asset pricing puzzles0.81142100%
4Antoine, B. and E. Renault (2009) Efficient GMM with nearly-weak instruments0.73732100%
5Cox, G (2020) Weak Identification in a Class of Generically Identified Models with an Application to Factor Models0.73732100%
6Stock, J. H. and J. H. Wright (2000) GMM with Weak Identification0.73732100%
7Andrews, D. W (2017) Identification-robust subvector inference0.73732100%
8Grammig, J. and E.-M. Küchlin (2018) A two-step indirect inference approach to estimate the long-run risk asset pricing model0.64441100%
9Anderson, T. W. and H. Rubin (1949) Estimation of the Parameters of a Single Equation in a Complete System of Stochastic Equations0.6443267%
10Hansen, L. P. and K. J. Singleton (1982) Generalized Instrumental Variables Estimation of Nonlinear Rational Expectations Models0.64422100%

Showing the top 10 of 65 scored citations.

Cited by, within the corpus

arXiv econ.EM papers that cite this one, ranked by how heavily they lean on it.

Citing paperIntensityMentionsSections
1Choosing What to Calibrate and What to Estimate in Structural Models0.73732
2A Scrambled Method of Moments0.40511
3Noisy, Non-Smooth, Non-Convex Estimation of Moment Condition Models0.40511
4Global identification of dynamic panel models with interactive effects0.40511