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Nonnested Testing In Models Estimated Via Generalized Method Of Moments

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  • Hall, Alastair R.
  • Pelletier, Denis

Abstract

We analyze the limiting distribution of the Rivers and Vuong (2002, Econometrics Journal 5, 1–39) statistic for choosing between two competing dynamic models based on a comparison of generalized method of moments minimands. It is shown that (i) if both models are misspecified then the statistic has a standard normal distribution under the null hypothesis of equal fit but the ranking could be determined by the choice of the weighting matrix; (ii) if both models are correctly specified or locally misspecified then the limiting distribution of the test statistic is nonstandard under the null.

Suggested Citation

  • Hall, Alastair R. & Pelletier, Denis, 2011. "Nonnested Testing In Models Estimated Via Generalized Method Of Moments," Econometric Theory, Cambridge University Press, vol. 27(2), pages 443-456, April.
    • Handle: RePEc:cup:etheor:v:27:y:2011:i:02:p:443-456_00
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    Cited by:

    1. Gospodinov, Nikolay & Kan, Raymond & Robotti, Cesare, 2013. "Chi-squared tests for evaluation and comparison of asset pricing models," Journal of Econometrics, Elsevier, vol. 173(1), pages 108-125.
    2. Marmer, Vadim & Otsu, Taisuke, 2012. "Optimal comparison of misspecified moment restriction models under a chosen measure of fit," Journal of Econometrics, Elsevier, vol. 170(2), pages 538-550.
    3. Senay Sokullu & Christine Valente, 2022. "Individual consumption in collective households: Identification using repeated observations with an application to PROGRESA," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(2), pages 286-304, March.
    4. Parente, Paulo M.D.C. & Santos Silva, J.M.C., 2012. "A cautionary note on tests of overidentifying restrictions," Economics Letters, Elsevier, vol. 115(2), pages 314-317.
    5. Nikolov, Boris & Schmid, Lukas & Steri, Roberto, 2021. "The Sources of Financing Constraints," Journal of Financial Economics, Elsevier, vol. 139(2), pages 478-501.
    6. Marco Duarte & Lorenzo Magnolfi & Mikkel S{o}lvsten & Christopher Sullivan, 2023. "Testing Firm Conduct," Papers 2301.06720, arXiv.org, revised Jan 2024.
    7. Lee, Seojeong, 2014. "Asymptotic refinements of a misspecification-robust bootstrap for generalized method of moments estimators," Journal of Econometrics, Elsevier, vol. 178(P3), pages 398-413.
    8. Fu, Zhonghao & Hong, Yongmiao & Su, Liangjun & Wang, Xia, 2023. "Specification tests for time-varying coefficient models," Journal of Econometrics, Elsevier, vol. 235(2), pages 720-744.
    9. Wei-Min Hu & Junji Xiao & Xiaolan Zhou, 2014. "Collusion or Competition? Interfirm Relationships in the Chinese Auto Industry," Journal of Industrial Economics, Wiley Blackwell, vol. 62(1), pages 1-40, March.
    10. Matthew Backus & Christopher Conlon & Michael Sinkinson, 2021. "Common Ownership and Competition in the Ready-to-Eat Cereal Industry," NBER Working Papers 28350, National Bureau of Economic Research, Inc.
    11. Berrada, Tony & Detemple, Jérôme & Rindisbacher, Marcel, 2018. "Asset pricing with beliefs-dependent risk aversion and learning," Journal of Financial Economics, Elsevier, vol. 128(3), pages 504-534.
    12. Terri van der Zwan & Erik Hennink & Patrick Tuijp, 2021. "Equity Risk Factors for the Long and Short Run: Pricing and Performance at Different Frequencies," Tinbergen Institute Discussion Papers 21-062/III, Tinbergen Institute.
    13. Junpei Komiyama & Hajime Shimao, 2018. "Cross Validation Based Model Selection via Generalized Method of Moments," Papers 1807.06993, arXiv.org.

    More about this item

    JEL classification:

    • C10 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - 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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