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A Simple Test for Identification in GMM under Conditional Moment Restrictions

In: Essays in Honor of Jerry Hausman

Author

Listed:
  • Francesco Bravo
  • Juan Carlos Escanciano
  • Taisuke Otsu

Abstract

This chapter proposes a simple, fairly general, test for global identification of unconditional moment restrictions implied from point-identified conditional moment restrictions. The test is a Hausman-type test based on the Hausdorff distance between an estimator that is consistent even under global identification failure of the unconditional moment restrictions, and an estimator of the identified set of the unconditional moment restrictions. The proposed test has a χ2 limiting distribution and is also able to detect weak identification. Some Monte Carlo experiments show that the proposed test has competitive finite sample properties already for moderate sample sizes.

Suggested Citation

  • Francesco Bravo & Juan Carlos Escanciano & Taisuke Otsu, 2012. "A Simple Test for Identification in GMM under Conditional Moment Restrictions," Advances in Econometrics, in: Essays in Honor of Jerry Hausman, pages 455-477, Emerald Group Publishing Limited.
    • Handle: RePEc:eme:aecozz:s0731-9053(2012)0000029020
    DOI: 10.1108/S0731-9053(2012)0000029020
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    Citations

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    Cited by:

    1. Arthur Lewbel, 2019. "The Identification Zoo: Meanings of Identification in Econometrics," Journal of Economic Literature, American Economic Association, vol. 57(4), pages 835-903, December.
    2. Antoine, Bertille & Renault, Eric, 2020. "Testing identification strength," Journal of Econometrics, Elsevier, vol. 218(2), pages 271-293.
    3. Forneron, Jean-Jacques, 2024. "Detecting identification failure in moment condition models," Journal of Econometrics, Elsevier, vol. 238(1).
    4. Xiaohong Chen & David Jacho-Chávez & Oliver Linton, 2012. "Averaging of moment condition estimators," CeMMAP working papers 26/12, Institute for Fiscal Studies.

    More about this item

    Keywords

    Conditional moment restrictions; generalized method of moments; global identification; Hausman test; asset pricing;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models

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