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

Author

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  • Clément Bosquet

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

  • Hervé Boulhol

    () (ocde - OCDE, CES - Centre d'économie de la Sorbonne - CNRS - Centre National de la Recherche Scientifique - UP1 - Université Panthéon-Sorbonne)

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-00535594, HAL.
  • Handle: RePEc:hal:cesptp:halshs-00535594
    Note: View the original document on HAL open archive server: https://halshs.archives-ouvertes.fr/halshs-00535594
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
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    Cited by:

    1. Harry Huizinga & Johannes Voget & Wolf Wagner, 2014. "International Taxation and Cross-Border Banking," American Economic Journal: Economic Policy, American Economic Association, vol. 6(2), pages 94-125, May.
    2. Elizaveta Archanskaia & Guillaume Daudin, 2012. "Heterogeneity and the Distance Puzzle," FIW Working Paper series 095, FIW.
    3. Cooke, Edgar F A, 2011. "The impact of trade preferences on exports of developing countries: the case of the AGOA and CBI preferences of the USA," MPRA Paper 31439, University Library of Munich, Germany.
    4. Martijn J. Burger & Mark J. P. M. Thissen & Frank G. van Oort & Dario Diodato, 2014. "The Magnitude and Distance Decay of Trade in Goods and Services: New Evidence for European Countries," Spatial Economic Analysis, Taylor & Francis Journals, vol. 9(3), pages 231-259, September.
    5. Prehn, Soren & Brümmer, Bernhard & Glauben, Thomas, 2012. "Structural Gravity Estimation & Agriculture," 2012: New Rules of Trade? December 2012, San Diego, California 142765, International Agricultural Trade Research Consortium.
    6. Magerman, Glenn & Studnicka, Zuzanna & Van Hove, Jan, 2016. "Distance and border effects in international trade: A comparison of estimation methods," Economics - The Open-Access, Open-Assessment E-Journal, Kiel Institute for the World Economy (IfW), vol. 10, pages 1-31.
    7. Damiaan Persyn & Wouter Torfs, 2013. "A gravity equation for commuting - with an application to estimating regional and language border effects in Belgium," ERSA conference papers ersa13p599, European Regional Science Association.
    8. Shingal, Anirudh, 2013. ""New" econometric evidence for the Baldwin-Richardson (1972)/Miyagiwa (1991) theoretical predictions in government procurement," MPRA Paper 49138, University Library of Munich, Germany.
    9. Marie Poprawe, 2015. "On the relationship between corruption and migration: empirical evidence from a gravity model of migration," Public Choice, Springer, vol. 163(3), pages 337-354, June.

    More about this item

    Keywords

    pseudo-maximum likelihood methods; negative binomial estimator; Poisson regression; gamma PML;

    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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