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Scale-dependence of the Negative Binomial Pseudo-Maximum Likelihood Estimator

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  • Clément Bosquet

    (GREQAM - Groupement de Recherche en Économie Quantitative d'Aix-Marseille - EHESS - École des hautes études en sciences sociales - AMU - Aix Marseille Université - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique)

  • Hervé Boulhol

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, OCDE - Organisation de Coopération et de Développement Economiques = Organisation for Economic Co-operation and Development)

Abstract

Following Santos Silva and Tenreyro (2006), various studies have used the Poisson Pseudo-Maximum Likelihood to estimate gravity specifications of trade flows and non-count data models more generally. Some papers also report results based on the Negative Binomial estimator, which is more general and encompasses the Poisson assumption as a special case. This note shows that the Negative Binomial estimator is inappropriate when applied to a continuous dependent variable which unit choice is arbitrary, because estimates artificially depend on that choice.

Suggested Citation

  • Clément Bosquet & Hervé Boulhol, 2010. "Scale-dependence of the Negative Binomial Pseudo-Maximum Likelihood Estimator," Post-Print halshs-00544129, HAL.
    • Handle: RePEc:hal:journl:halshs-00544129
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00544129
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    References listed on IDEAS

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    1. James E. Anderson & Eric van Wincoop, 2003. "Gravity with Gravitas: A Solution to the Border Puzzle," American Economic Review, American Economic Association, vol. 93(1), pages 170-192, March.
    2. Martijn Burger & Frank van Oort & Gert-Jan Linders, 2009. "On the Specification of the Gravity Model of Trade: Zeros, Excess Zeros and Zero-inflated Estimation," Spatial Economic Analysis, Taylor & Francis Journals, vol. 4(2), pages 167-190.
    3. Anthony Briant & Pierre-Philippe Combes & Miren Lafourcade, 2014. "Product Complexity, Quality of Institutions and the Protrade Effect of Immigrants," The World Economy, Wiley Blackwell, vol. 37(1), pages 63-85, January.
    4. J. M. C. Santos Silva & Silvana Tenreyro, 2006. "The Log of Gravity," The Review of Economics and Statistics, MIT Press, vol. 88(4), pages 641-658, November.
    5. Joakim Westerlund & Fredrik Wilhelmsson, 2009. "Estimating the gravity model without gravity using panel data," Applied Economics, Taylor & Francis Journals, vol. 43(6), pages 641-649.
    6. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
    7. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Applications to Poisson Models," Econometrica, Econometric Society, vol. 52(3), pages 701-720, May.
    8. Lionel Fontagne & Soledad Zignago, 2007. "A Re-evaluation of the Impact of Regional Agreements on Trade Patterns," Economie Internationale, CEPII research center, issue 109, pages 31-51.
    9. Baier, Scott L. & Bergstrand, Jeffrey H., 2007. "Do free trade agreements actually increase members' international trade?," Journal of International Economics, Elsevier, vol. 71(1), pages 72-95, March.
    10. Charles van Marrewijk & Gus Garita, 2008. "Countries of a Feather flock together," Tinbergen Institute Discussion Papers 08-067/2, Tinbergen Institute, revised 19 Sep 2008.
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    More about this item

    Keywords

    Pseudo-maximum likelihood methods; negative binomial estimator; Poisson regression; gamma PML; Méthodes du pseudo-maximum de vraisemblance; estimateur avec loi binomiale négative; régression de Poisson; pseudo-maximum de vraisemblance avec loi gamma;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C21 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Cross-Sectional Models; Spatial Models; Treatment Effect Models
    • F10 - International Economics - - Trade - - - General

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