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A note on the use of quantile regression in beta convergence analysis

  • Laurini, Márcio P.

We discuss how to interpret conflicting results obtained by the use of quantile regression methods in growth regression tests of β-convergence hypothesis and the results obtained by nonparametric methods. We show that the assumption of linearity may cause the non-rejection of the β-convergence hypothesis by quantile regression. We also show that using a nonparametric form of quantile regression, we can reject the hypothesis of β-convergence and confirm the results of divergence and formation of convergence clubs. We illustrate the discussion by using the conflicting results on convergence found in the dataset of per-capita income of Brazilian municipalities between 1970 and 1996.

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Paper provided by Insper Working Paper, Insper Instituto de Ensino e Pesquisa in its series Insper Working Papers with number wpe_95.

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Date of creation: Oct 2007
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Handle: RePEc:ibm:ibmecp:wpe_95
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  1. Hardle, W., 1992. "Applied Nonparametric Methods," Papers 9206, Tilburg - Center for Economic Research.
  2. Mello, Marcelo & Perrelli, Roberto, 2003. "Growth equations: a quantile regression exploration," The Quarterly Review of Economics and Finance, Elsevier, vol. 43(4), pages 643-667.
  3. Marcio Laurini & Eduardo Andrade & Pedro L. Valls Pereira, 2005. "Income convergence clubs for Brazilian Municipalities: a non-parametric analysis," Applied Economics, Taylor & Francis Journals, vol. 37(18), pages 2099-2118.
  4. Barro, R.J., 1989. "Economic Growth In A Cross Section Of Countries," RCER Working Papers 201, University of Rochester - Center for Economic Research (RCER).
  5. Romer, Paul M, 1986. "Increasing Returns and Long-run Growth," Journal of Political Economy, University of Chicago Press, vol. 94(5), pages 1002-37, October.
  6. Quah, Danny, 1997. "Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," CEPR Discussion Papers 1586, C.E.P.R. Discussion Papers.
  7. Friedman, Milton, 1992. "Do Old Fallacies Ever Die?," Journal of Economic Literature, American Economic Association, vol. 30(4), pages 2129-32, December.
  8. Lucas, Robert Jr., 1988. "On the mechanics of economic development," Journal of Monetary Economics, Elsevier, vol. 22(1), pages 3-42, July.
  9. Koenker, Roger W & Bassett, Gilbert, Jr, 1978. "Regression Quantiles," Econometrica, Econometric Society, vol. 46(1), pages 33-50, January.
  10. Andrade, Eduardo & Laurini, Márcio & Madalozzo, Regina & Pedro L. Valls Pereira, 2002. "Testing Convergence Across Municipalities in Brazil Using Quantile Regression," Insper Working Papers wpe_25, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
  11. Andrade, Eduardo & Laurini, Marcio & Madalozzo, Regina & Valls Pereira, Pedro L., 2004. "Convergence clubs among Brazilian municipalities," Economics Letters, Elsevier, vol. 83(2), pages 179-184, May.
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  13. Bernard, A.B. & Durlauf, S.N., 1994. "Interpreting Tests of the Convergence Hypothesis," Working papers 9401r, Wisconsin Madison - Social Systems.
  14. Miles, W., 2004. "Human Capital and Economic Growth: A Quantile Regression Approach," Applied Econometrics and International Development, Euro-American Association of Economic Development, vol. 4(2).
  15. Quah, Danny T, 1997. " Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," Journal of Economic Growth, Springer, vol. 2(1), pages 27-59, March.
  16. Oliver LINTON, . "Applied nonparametric methods," Statistic und Oekonometrie 9312, Humboldt Universitaet Berlin.
  17. Raul A. Barreto & Anthony W. Hughes, 2004. "Under Performers and Over Achievers: A Quantile Regression Analysis of Growth," The Economic Record, The Economic Society of Australia, vol. 80(248), pages 17-35, 03.
  18. repec:cup:cbooks:9780521608275 is not listed on IDEAS
  19. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
  20. Swan, Trevor W, 2002. "Economic Growth," The Economic Record, The Economic Society of Australia, vol. 78(243), pages 375-80, December.
  21. Bosch, Ronald J. & Ye, Yinyu & Woodworth, George G., 1995. "A convergent algorithm for quantile regression with smoothing splines," Computational Statistics & Data Analysis, Elsevier, vol. 19(6), pages 613-630, June.
  22. Koenker, Roger, 2000. "Galton, Edgeworth, Frisch, and prospects for quantile regression in econometrics," Journal of Econometrics, Elsevier, vol. 95(2), pages 347-374, April.
  23. Azariadis, Costas & Drazen, Allan, 1990. "Threshold Externalities in Economic Development," The Quarterly Journal of Economics, MIT Press, vol. 105(2), pages 501-26, May.
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