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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," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00544129, HAL.
    • Handle: RePEc:hal:cesptp: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. Head, Keith & Mayer, Thierry & Ries, John, 2009. "How remote is the offshoring threat?," European Economic Review, Elsevier, vol. 53(4), pages 429-444, May.
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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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