IDEAS home Printed from https://ideas.repec.org/p/hal/cesptp/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 - ECM - École Centrale de Marseille - CNRS - Centre National de la Recherche Scientifique - AMU - Aix Marseille Université - EHESS - École des hautes études en sciences sociales)

  • Hervé Boulhol

    () (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, OCDE - Département des affaires économiques)

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://halshs.archives-ouvertes.fr/halshs-00544129
    as

    Download full text from publisher

    File URL: https://halshs.archives-ouvertes.fr/halshs-00544129/document
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    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. 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.
    9. Gourieroux, Christian & Monfort, Alain & Trognon, Alain, 1984. "Pseudo Maximum Likelihood Methods: Theory," Econometrica, Econometric Society, vol. 52(3), pages 681-700, May.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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. Elizaveta Archanskaia & Guillaume Daudin, 2012. "Heterogeneity and the Distance Puzzle," FIW Working Paper series 095, FIW.
    3. 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.
    4. Andre Jungmittag & Robert Marschinski, 2020. "Service Trade Restrictiveness and Foreign Direct Investment - Evidence from Greenfield FDI in Business Services," JRC Working Papers JRC122116, Joint Research Centre (Seville site).
    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. Giovanni Peri & Francisco Requena-Silvente, 2010. "The trade creation effect of immigrants: evidence from the remarkable case of Spain," Canadian Journal of Economics, Canadian Economics Association, vol. 43(4), pages 1433-1459, November.
    8. 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.
    9. Head, Keith & Mayer, Thierry & Ries, John, 2009. "How remote is the offshoring threat?," European Economic Review, Elsevier, vol. 53(4), pages 429-444, May.
    10. Zongo, Amara, 2020. "The Impact of Services Trade Restrictiveness on Food Trade," MPRA Paper 101658, University Library of Munich, Germany.
    11. Massimiliano Bratti & Luca Benedictis & Gianluca Santoni, 2014. "On the pro-trade effects of immigrants," Review of World Economics (Weltwirtschaftliches Archiv), Springer;Institut für Weltwirtschaft (Kiel Institute for the World Economy), vol. 150(3), pages 557-594, August.
    12. 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.
    13. Rodolfo Metulini & Paolo Sgrignoli & Stefano Schiavo & Massimo Riccaboni, 2018. "The network of migrants and international trade," Economia Politica: Journal of Analytical and Institutional Economics, Springer;Fondazione Edison, vol. 35(3), pages 763-787, December.
    14. Christopher R. Parsons & L. Alan Winters, 2014. "International migration, trade and aid: a survey," Chapters, in: Robert E.B. Lucas (ed.), International Handbook on Migration and Economic Development, chapter 4, pages 65-112, Edward Elgar Publishing.
    15. 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.
    16. 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.
    17. Robert E.B. Lucas, 2014. "The migration–trade link in developing economies: a summary and extension of evidence," Chapters, in: Robert E.B. Lucas (ed.), International Handbook on Migration and Economic Development, chapter 11, pages 288-326, Edward Elgar Publishing.
    18. Estrella Gómez-Herrera, 2013. "Comparing alternative methods to estimate gravity models of bilateral trade," Empirical Economics, Springer, vol. 44(3), pages 1087-1111, June.
    19. Hoekman, Bernard & Nicita, Alessandro, 2011. "Trade Policy, Trade Costs, and Developing Country Trade," World Development, Elsevier, vol. 39(12), pages 2069-2079.
    20. Valeria Costantini & Francesco Crespi, 2013. "Public policies for a sustainable energy sector: regulation, diversity and fostering of innovation," Journal of Evolutionary Economics, Springer, vol. 23(2), pages 401-429, April.

    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:cesptp:halshs-00544129. See general information about how to correct material in RePEc.

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

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.