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Testing overidentifying restrictions with a restricted parameter space

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  • Philipp Ketz

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, PJSE - Paris Jourdan Sciences Economiques - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - INRA - Institut National de la Recherche Agronomique - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique)

Abstract

We show that the standard test for testing overidentifying restrictions, which compares the J-statistic (Hansen, 1982) to critical values, does not control asymptotic size when the true parameter vector is allowed to lie on the boundary of the (optimization) parameter space. We also propose a modified J-statistic that, under the null hypothesis, is asymptotically distributed, such that the resulting test does control asymptotic size.

Suggested Citation

  • Philipp Ketz, 2019. "Testing overidentifying restrictions with a restricted parameter space," Post-Print halshs-02492665, HAL.
    • Handle: RePEc:hal:journl:halshs-02492665
    DOI: 10.1016/j.econlet.2019.108743
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    References listed on IDEAS

    as
    1. Ketz, Philipp, 2018. "Subvector inference when the true parameter vector may be near or at the boundary," Journal of Econometrics, Elsevier, vol. 207(2), pages 285-306.
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    Cited by:

    1. Tomasz Swiecki, 2017. "Determinants of Structural Change," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 24, pages 95-131, March.
    2. Ketz, Philipp, 2019. "On asymptotic size distortions in the random coefficients logit model," Journal of Econometrics, Elsevier, vol. 212(2), pages 413-432.

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    More about this item

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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