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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 - 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

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

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," Working Papers halshs-00535594, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00535594
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00535594v1
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    References listed on IDEAS

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    1. 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.
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    3. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
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    6. 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.
    7. 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.
    8. 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.
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    Citations

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    Cited by:

    1. Anirudh Shingal, 2015. "Econometric Analyses of Home Bias in Government Procurement," Review of International Economics, Wiley Blackwell, vol. 23(1), pages 188-219, February.
    2. Hirsch, Cornelius & Krisztin, Tamás & See, Linda, 2020. "Water Resources as Determinants for Foreign Direct Investments in Land - A Gravity Analysis of Foreign Land Acquisitions," Ecological Economics, Elsevier, vol. 170(C).
    3. D'Ambrosio, Anna & Montresor, Sandro, 2017. "Migration and Trade Ows: New Evidence from Spanish Regions," Department of Economics and Statistics Cognetti de Martiis. Working Papers 201724, University of Turin.
    4. Abdoulaye Seck, 2017. "How Facilitating Trade would Benefit Trade in Sub-Saharan Africa," Journal of African Development, African Finance and Economic Association (AFEA), vol. 19(1), pages 1-26.
    5. 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 (2007-2020), Kiel Institute for the World Economy (IfW Kiel), vol. 10, pages 1-31.
    6. Krisztin, Tamás & Fischer, Manfred M., 2014. "The gravity model for international trade: Specification and estimation issues in the prevalence of zero flows," Working Papers in Regional Science 2014/01, WU Vienna University of Economics and Business.
    7. 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.
    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. Andre Jungmittag & Robert Marschinski, 2023. "Service trade restrictiveness and foreign direct investment—Evidence from greenfield FDI in business services," The World Economy, Wiley Blackwell, vol. 46(6), pages 1711-1758, June.
    10. 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.
    11. Elisaveta Archanskaia & Guillaume Daudin, 2012. "Heterogeneity and the Distance Puzzle," Documents de Travail de l'OFCE 2012-17, Observatoire Francais des Conjonctures Economiques (OFCE).
    12. Prehn, Sören & Brümmer, Bernhard, 2011. "Estimation issues in disaggregate gravity trade models," DARE Discussion Papers 1107, Georg-August University of Göttingen, Department of Agricultural Economics and Rural Development (DARE).
    13. 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.
    14. 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.
    15. 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.

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    Keywords

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    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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