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Second-order Refinement of Empirical Likelihood for Testing Overidentifying Restrictions

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Abstract

This paper studies second-order properties of the empirical likelihood overidentifying restriction test to check the validity of moment condition models. We show that the empirical likelihood test is Bartlett correctable and suggest second-order refinement methods for the test based on the empirical Bartlett correction and adjusted empirical likelihood. Our second-order analysis supplements the one in Chen and Cui (2007) who considered parameter hypothesis testing for overidentified models. In simulation studies we find that the empirical Bartlett correction and adjusted empirical likelihood assisted by bootstrapping provide reasonable improvements for the properties of the null rejection probabilities.

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  • Yukitoshi Matsushita & Taisuke Otsu, 2011. "Second-order Refinement of Empirical Likelihood for Testing Overidentifying Restrictions," Cowles Foundation Discussion Papers 1791, Cowles Foundation for Research in Economics, Yale University, revised Jan 2012.
    • Handle: RePEc:cwl:cwldpp:1791
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    File URL: https://cowles.yale.edu/sites/default/files/files/pub/d17/d1791.pdf
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    Keywords

    Empirical likelihood; GMM; Overidentification test; Bartlett correction; Higher order analysis;
    All these keywords.

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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