IDEAS home Printed from https://ideas.repec.org/p/hal/journl/halshs-00544129.html
   My bibliography  Save this paper

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://shs.hal.science/halshs-00544129/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    2. Cameron, A Colin & Trivedi, Pravin K, 1986. "Econometric Models Based on Count Data: Comparisons and Applications of Some Estimators and Tests," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 1(1), pages 29-53, January.
    3. Head, Keith & Mayer, Thierry & Ries, John, 2009. "How remote is the offshoring threat?," European Economic Review, Elsevier, vol. 53(4), pages 429-444, May.
    4. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. repec:spo:wpmain:info:hdl:2441/10144 is not listed on IDEAS
    11. 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.
    12. 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.
    13. 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.
    14. Head, Keith & Mayer, Thierry & Ries, John, 2009. "How remote is the offshoring threat?," European Economic Review, Elsevier, vol. 53(4), pages 429-444, May.
    15. repec:hal:spmain:info:hdl:2441/10144 is not listed on IDEAS
    16. Manning, Willard G. & Mullahy, John, 2001. "Estimating log models: to transform or not to transform?," Journal of Health Economics, Elsevier, vol. 20(4), pages 461-494, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Clément Bosquet & Hervé Boulhol, 2014. "Applying the GLM Variance Assumption to Overcome the Scale-Dependence of the Negative Binomial QGPML Estimator," Econometric Reviews, Taylor & Francis Journals, vol. 33(7), pages 772-784, October.
    2. 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.
    3. Zongo, Amara, 2020. "The Impact of Services Trade Restrictiveness on Food Trade," MPRA Paper 101658, University Library of Munich, Germany.
    4. Clément Bosquet & Hervé Boulhol, 2015. "What is really puzzling about the “distance puzzle”," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 151(1), pages 1-21, February.
    5. Clément Bosquet & Hervé Boulhol, 2015. "What is really puzzling about the “distance puzzle”," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 151(1), pages 1-21, February.
    6. Head, Keith & Mayer, Thierry, 2014. "Gravity Equations: Workhorse,Toolkit, and Cookbook," Handbook of International Economics, in: Gopinath, G. & Helpman, . & Rogoff, K. (ed.), Handbook of International Economics, edition 1, volume 4, chapter 0, pages 131-195, Elsevier.
    7. Elisaveta Archanskaia & Guillaume Daudin, 2012. "Heterogeneity and the Distance Puzzle," Documents de Travail de l'OFCE 2012-17, Observatoire Francais des Conjonctures Economiques (OFCE).
    8. 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.
    9. 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.
    10. Kareem, Fatima Olanike & Martinez-Zarzoso, Inmaculada & Brümmer, Bernhard, 2016. "Fitting the Gravity Model when Zero Trade Flows are Frequent: a Comparison of Estimation Techniques using Africa's Trade Data," GlobalFood Discussion Papers 230588, Georg-August-Universitaet Goettingen, GlobalFood, Department of Agricultural Economics and Rural Development.
    11. Head, Keith & Mayer, Thierry & Ries, John, 2009. "How remote is the offshoring threat?," European Economic Review, Elsevier, vol. 53(4), pages 429-444, May.
    12. Milena Kern & Jörg Paetzold & Hannes Winner, 2021. "Cutting red tape for trade in services," The World Economy, Wiley Blackwell, vol. 44(10), pages 2858-2886, October.
    13. Sophie Hatte & Pamina Koenig, 2020. "The Geography of NGO Activism against Multinational Corporations," The World Bank Economic Review, World Bank, vol. 34(1), pages 143-163.
    14. repec:hal:spmain:info:hdl:2441/53r60a8s3kup1vc9ji21mi9p3 is not listed on IDEAS
    15. Tamaş Anca, 2020. "Why should the gravity model be taught in business education?," Proceedings of the International Conference on Business Excellence, Sciendo, vol. 14(1), pages 422-433, July.
    16. Koen Jochmans & Vincenzo Verardi, 2022. "Instrumental‐variable estimation of exponential‐regression models with two‐way fixed effects with an application to gravity equations," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 37(6), pages 1121-1137, September.
    17. Thomas Kopp & Sören Prehn & Bernhard Brümmer, 2016. "Preference Erosion – The Case of Everything But Arms and Sugar," The World Economy, Wiley Blackwell, vol. 39(9), pages 1339-1359, September.
    18. Zongo, Amara, 2021. "The impact of services trade restrictiveness on food trade," International Economics, Elsevier, vol. 166(C), pages 71-94.
    19. Zongo, Amara, 2020. "The Impact of Restrictive Measures on Bilateral FDI in OECD Countries," MPRA Paper 101929, University Library of Munich, Germany.
    20. repec:spo:wpmain:info:hdl:2441/53r60a8s3kup1vc9ji21mi9p3 is not listed on IDEAS
    21. Anna D’Ambrosio & Sandro Montresor, 2022. "The pro-export effect of subnational migration networks: new evidence from Spanish provinces," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 158(1), pages 53-107, February.
    22. Federica DeMaria & Sophie Drogue, 2017. "EU Trade Regulation for Baby Food: Protecting Health or Trade?," The World Economy, Wiley Blackwell, vol. 40(7), pages 1430-1453, July.

    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

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:journl:halshs-00544129. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.