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The Log of Gravity

  • Santos Silva, J.M.C
  • Tenreyro, Silvana

Although economists have long been aware of Jensen's inequality, many econometric applications have neglected an important implication of it: the standard practice of interpreting the parameters of log-linearized models estimated by ordinary least squares as elasticities can be highly misleading in the presence of heteroskedasticity. This paper explains why this problem arises and proposes an appropriate estimator. Our criticism of conventional practices and the solution we propose extends to a broad range of economic applications where the equation under study is log-linearized. We develop the argument using one particular illustration, the gravity equation for trade, and apply the proposed technique to provide new estimates of this equation. We find significant differences between estimates obtained with the proposed estimator and those obtained with the traditional method.

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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5311.

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Date of creation: Oct 2005
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Handle: RePEc:cpr:ceprdp:5311
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  1. Wooldridge, Jeffrey M., 1999. "Distribution-free estimation of some nonlinear panel data models," Journal of Econometrics, Elsevier, vol. 90(1), pages 77-97, May.
  2. Robinson, P M, 1987. "Asymptotically Efficient Estimation in the Presence of Heteroskedasticity of Unknown Form," Econometrica, Econometric Society, vol. 55(4), pages 875-91, July.
  3. Leslie E. Papke & Jeffrey M. Wooldridge, 1993. "Econometric Methods for Fractional Response Variables with an Application to 401(k) Plan Participation Rates," NBER Technical Working Papers 0147, National Bureau of Economic Research, Inc.
  4. Robert C. Feenstra & Robert E. Lipsey & Harry P. Bowen, 1997. "World Trade Flows, 1970-1992, with Production and Tariff Data," NBER Working Papers 5910, National Bureau of Economic Research, Inc.
  5. Bergstrand, Jeffrey H, 1985. "The Gravity Equation in International Trade: Some Microeconomic Foundations and Empirical Evidence," The Review of Economics and Statistics, MIT Press, vol. 67(3), pages 474-81, August.
  6. Silvana Tenreyro & Robert J. Barro, 2002. "Economic effects of currency unions," Working Papers 02-4, Federal Reserve Bank of Boston.
  7. Hallak, Juan Carlos, 2006. "Product quality and the direction of trade," Journal of International Economics, Elsevier, vol. 68(1), pages 238-265, January.
  8. Jonathan Eaton & Samuel Kortum, 2002. "Technology, Geography, and Trade," Econometrica, Econometric Society, vol. 70(5), pages 1741-1779, September.
  9. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, June.
  10. James E. Anderson & Eric van Wincoop, 2001. "Gravity with Gravitas: A Solution to the Border Puzzle," NBER Working Papers 8079, National Bureau of Economic Research, Inc.
  11. Willard G. Manning & John Mullahy, 1999. "Estimating Log Models: To Transform or Not to Transform?," NBER Technical Working Papers 0246, National Bureau of Economic Research, Inc.
  12. Jeffrey A. Frankel and Shang-Jin Wei., 1993. "Emerging Currency Blocs," Center for International and Development Economics Research (CIDER) Working Papers C93-026, University of California at Berkeley.
  13. Alan V. Deardorff, 1995. "Determinants of Bilateral Trade: Does Gravity Work in a Neoclassical World?," NBER Working Papers 5377, National Bureau of Economic Research, Inc.
  14. Loeb, Susanna & Bound, John, 1996. "The Effect of Measured School Inputs on Academic Achievement: Evidence form the 1920s, 1930s and 1940s Birth Cohorts," The Review of Economics and Statistics, MIT Press, vol. 78(4), pages 653-64, November.
  15. Delgado, M.A. & Kniesner, T.J., 1992. "Semiparametric Versus Parametric Count-Data Models-- Econometric Considerations and Estimates of Hedonic- Equilibrium Model of Worker Absenteeism," Papers 92-018, Indiana - Center for Econometric Model Research.
  16. Jonathan Eaton & Akiko Tamura, 1995. "Bilateralism and Regionalism in Japanese and U.S. Trade and Direct Foreign Investment Patterns," NBER Working Papers 4758, National Bureau of Economic Research, Inc.
  17. McCallum, John, 1995. "National Borders Matter: Canada-U.S. Regional Trade Patterns," American Economic Review, American Economic Association, vol. 85(3), pages 615-23, June.
  18. Barro, Robert & Alesina, Alberto, 2002. "Currency Unions," Scholarly Articles 4551795, Harvard University Department of Economics.
  19. Jeffrey A. Frankel, 1997. "Regional Trading Blocs in the World Economic System," Peterson Institute Press: All Books, Peterson Institute for International Economics, number 72.
  20. Rose, Andrew K, 1999. "One Money, One Market: Estimating the Effect of Common Currencies on Trade," CEPR Discussion Papers 2329, C.E.P.R. Discussion Papers.
  21. Gourieroux Christian & Monfort Alain & Trognon A, 1982. "Pseudo maximum lilelihood methods : applications to poisson models," CEPREMAP Working Papers (Couverture Orange) 8203, CEPREMAP.
  22. Boisso, Dale & Ferrantino, Michael, 1997. "Economic Distance, Cultural Distance, and Openness in International Trade : Empirical Puzzles," Journal of Economic Integration, Center for Economic Integration, Sejong University, vol. 12, pages 456-484.
  23. Harrigan, James, 1993. "OECD imports and trade barriers in 1983," Journal of International Economics, Elsevier, vol. 35(1-2), pages 91-111, August.
  24. Davis, Donald R., 1995. "Intra-industry trade: A Heckscher-Ohlin-Ricardo approach," Journal of International Economics, Elsevier, vol. 39(3-4), pages 201-226, November.
  25. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
  26. Jon Haveman & David Hummels, 2004. "Alternative hypotheses and the volume of trade: the gravity equation and the extent of specialization," Canadian Journal of Economics, Canadian Economics Association, vol. 37(1), pages 199-218, February.
  27. Jeffrey Frankel & Andrew Rose, 2002. "An Estimate Of The Effect Of Common Currencies On Trade And Income," The Quarterly Journal of Economics, MIT Press, vol. 117(2), pages 437-466, May.
  28. Eichengreen, Barry & Irwin, Douglas A., 1995. "Trade blocs, currency blocs and the reorientation of world trade in the 1930s," Journal of International Economics, Elsevier, vol. 38(1-2), pages 1-24, February.
  29. Frank Windmeijer & Joao Santos Silva, 1996. "Endogeneity in count data models; an application to demand for health care," IFS Working Papers W96/15, Institute for Fiscal Studies.
  30. Anderson, James E, 1979. "A Theoretical Foundation for the Gravity Equation," American Economic Review, American Economic Association, vol. 69(1), pages 106-16, March.
  31. Robert C. Feenstra & James R. Markusen & Andrew K. Rose, 2001. "Using the gravity equation to differentiate among alternative theories of trade," Canadian Journal of Economics, Canadian Economics Association, vol. 34(2), pages 430-447, May.
  32. Delgado, Miguel A., 1992. "Semiparametric Generalized Least Squares in the Multivariate Nonlinear Regression Model," Econometric Theory, Cambridge University Press, vol. 8(02), pages 203-222, June.
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