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Convergence Tools and Mixture Analysis

  • Michele Battisti


    (University of Palermo)

  • Christopher F. Parmeter


    (Virginia Polytechnic Institute)

In this paper we employ traditional beta, sigma, gamma-convergence tools to assess growth behaviour of groups of countries in connection with mixture densities. In the presence of mixtures, the standard methods to assess convergence are likely to be misleading. With respect to some recent papers dealing with issues of clustering through mixture densities of GDP, we assess what happens when the densities are multivariate, so that they contains traditional growth determinants. Our results show that, taken as global measures, convergence is an uncommon feature, whereas focusing on the individual components of the mixture we find pockets of convergence. Additionally, we focus attention on the classic determinants of growth and how these variables behave over time and within groups. Here the findings suggest that the behavior of countries within components is driven by similarities in the behavior of some of the growth determinants and that the well known result of a changing shape of income distribution from 1960 to 2000 is strongly related to changes in relationships among these variables began during 1980s.

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Paper provided by Dipartimento di Economia e Finanza, LUISS Guido Carli in its series Working Papers CELEG with number 1007.

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Date of creation: 2010
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Handle: RePEc:lui:celegw:1007
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  1. Michele Battisti & Gianfranco Di Vaio, 2008. "A spatially filtered mixture of β-convergence regressions for EU regions, 1980–2002," Empirical Economics, Springer, vol. 34(1), pages 105-121, February.
  2. Canova, Fabio, 1999. "Testing for Convergence Clubs in Income per-capita: A Predictive Density Approach," CEPR Discussion Papers 2201, C.E.P.R. Discussion Papers.
  3. François Bourguignon & Christian Morrisson, 2002. "Inequality Among World Citizens: 1820-1992," American Economic Review, American Economic Association, vol. 92(4), pages 727-744, September.
  4. Paap, Richard & Franses, Philip Hans & van Dijk, Dick, 2005. "Does Africa grow slower than Asia, Latin America and the Middle East? Evidence from a new data-based classification method," Journal of Development Economics, Elsevier, vol. 77(2), pages 553-570, August.
  5. Paul Beaudry & Fabrice Collard & David A. Green, 2005. "Changes in the World Distribution of Output Per Worker, 1960-1998: How a Standard Decomposition Tells an Unorthodox Story," The Review of Economics and Statistics, MIT Press, vol. 87(4), pages 741-753, November.
  6. Danny Quah, 1992. "Empirical cross-section dynamics in economic growth," Discussion Paper / Institute for Empirical Macroeconomics 75, Federal Reserve Bank of Minneapolis.
  7. Psacharopoulos, George, 1993. "Returns to investment in education : a global update," Policy Research Working Paper Series 1067, The World Bank.
  8. Danny Quah, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," CEP Discussion Papers dp0280, Centre for Economic Performance, LSE.
  9. Davis, Lewis & Owen, Ann L. & Videras, Julio, 2007. "Do all countries follow the same growth process?," MPRA Paper 11589, University Library of Munich, Germany, revised Sep 2008.
  10. Galor, Oded, 1996. "Convergence? Inferences from Theoretical Models," CEPR Discussion Papers 1350, C.E.P.R. Discussion Papers.
  11. Durlauf, S.N. & Johnson, P.A., 1994. "Multiple Regimes and Cross-Country Growth Behavior," Working papers 9419, Wisconsin Madison - Social Systems.
  12. Galor, Oded, 2007. "Multiple Growth Regimes – Insights from Unified Growth Theory," CEPR Discussion Papers 6427, C.E.P.R. Discussion Papers.
  13. Robert E. Hall & Charles I. Jones, 1999. "Why Do Some Countries Produce So Much More Output per Worker than Others?," NBER Working Papers 6564, National Bureau of Economic Research, Inc.
  14. Desdoigts, Alain, 1999. "Patterns of Economic Development and the Formation of Clubs," Journal of Economic Growth, Springer, vol. 4(3), pages 305-30, September.
  15. Zeira, Joseph, 2007. "Wage inequality, technology, and trade," Journal of Economic Theory, Elsevier, vol. 137(1), pages 79-103, November.
  16. Robert E. Hall & Charles I. Jones, 1999. "Why do Some Countries Produce So Much More Output Per Worker than Others?," The Quarterly Journal of Economics, Oxford University Press, vol. 114(1), pages 83-116.
  17. Boyle, G E & McCarthy, T G, 1997. "A Simple Measure of Beta-Convergence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(2), pages 257-64, May.
  18. Barro, R.J., 1989. "Economic Growth In A Cross Section Of Countries," RCER Working Papers 201, University of Rochester - Center for Economic Research (RCER).
  19. Quah, Danny, 1996. "Twin Peaks: Growth and Convergence in Models of Distribution Dynamics," CEPR Discussion Papers 1355, C.E.P.R. Discussion Papers.
  20. Quah, Danny, 1993. " Galton's Fallacy and Tests of the Convergence Hypothesis," Scandinavian Journal of Economics, Wiley Blackwell, vol. 95(4), pages 427-43, December.
  21. Barro, Robert J & Sala-i-Martin, Xavier, 1992. "Convergence," Journal of Political Economy, University of Chicago Press, vol. 100(2), pages 223-51, April.
  22. Hawkins, Dollena S. & Allen, David M. & Stromberg, Arnold J., 2001. "Determining the number of components in mixtures of linear models," Computational Statistics & Data Analysis, Elsevier, vol. 38(1), pages 15-48, November.
  23. G. E. Boyle & T. G. McCARTHY, 1999. "Simple measures of convergence in per capita GDP: a note on some further international evidence," Applied Economics Letters, Taylor & Francis Journals, vol. 6(6), pages 343-347.
  24. Robert J. Barro & Xavier Sala-i-Martin, 1991. "Convergence across States and Regions," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 22(1), pages 107-182.
  25. Oded Galor & Andrew Mountford, 2006. "Trade and the Great Divergence: The Family Connection," American Economic Review, American Economic Association, vol. 96(2), pages 299-303, May.
  26. Paapaa, Richard & van Dijk, Herman K., 1998. "Distribution and mobility of wealth of nations," European Economic Review, Elsevier, vol. 42(7), pages 1269-1293, July.
  27. Quah, Danny T., 1996. "Empirics for economic growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1353-1375, June.
  28. Johnson, Paul, 2003. "A Continuous State Space Approach to “Convergence by Parts”," Vassar College Department of Economics Working Paper Series 54, Vassar College Department of Economics.
  29. Danny Quah, 1996. "Twin peaks : growth and convergence in models of distribution dynamics," LSE Research Online Documents on Economics 2278, London School of Economics and Political Science, LSE Library.
  30. Grun, Bettina & Leisch, Friedrich, 2007. "Fitting finite mixtures of generalized linear regressions in R," Computational Statistics & Data Analysis, Elsevier, vol. 51(11), pages 5247-5252, July.
  31. Marco Alfo & Giovanni Trovato & Robert J. Waldmann, 2008. "Testing for country heterogeneity in growth models using a finite mixture approach," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 23(4), pages 487-514.
  32. Maasoumi, Esfandiar & Racine, Jeff, 2006. "Growth And Convergence: A Profile Of Distribution Dynamics And Mobility," Departmental Working Papers 0605, Southern Methodist University, Department of Economics.
  33. Daniel J. Henderson & Valentin Zelenyuk, 2007. "Testing for (Efficiency) Catching-up," Southern Economic Journal, Southern Economic Association, vol. 73(4), pages 1003–1019, April.
  34. Costas Azariadis & Allan Drazen, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, Oxford University Press, vol. 105(2), pages 501-526.
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