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Identification problem of the exponential tilting estimator under misspecification

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  • Sueishi, Naoya

Abstract

This paper shows a potential pitfall of the exponential tilting (ET) estimator under misspecification. We show that the pseudo-true value of the ET estimator is not identified if the true distribution is not absolutely continuous with respect to the probability measures implied by the moment restriction model. This result implies that the ET estimator cannot be consistent for the pseudo-true value if the moment generating function of the moment function is unbounded.

Suggested Citation

  • Sueishi, Naoya, 2013. "Identification problem of the exponential tilting estimator under misspecification," Economics Letters, Elsevier, vol. 118(3), pages 509-511.
    • Handle: RePEc:eee:ecolet:v:118:y:2013:i:3:p:509-511
    DOI: 10.1016/j.econlet.2012.12.024
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    2. Lavergne, Pascal, 2015. "Assessing the Approximate Validity of Moment Restrictions," TSE Working Papers 15-562, Toulouse School of Economics (TSE), revised May 2020.
    3. Siddharta Chib & Minchul Shin & Anna Simoni, 2016. "Bayesian Empirical Likelihood Estimation and Comparison of Moment Condition Models," Working Papers 2016-21, Center for Research in Economics and Statistics.
    4. Luo, Yu & Graham, Daniel J. & McCoy, Emma J., 2023. "Semiparametric Bayesian doubly robust causal estimation," LSE Research Online Documents on Economics 117944, London School of Economics and Political Science, LSE Library.

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    More about this item

    Keywords

    Exponential tilting estimator; Misspecified models; I-projection;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General

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