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A note on fractional stochastic convergence

Author

Listed:
  • Marcelo Mello

    (Virginia Tech, and Faculdades IBMEC\RJ, Brazil)

  • Roberto Guimaraes-Filho

    (International Monetary Fund)

Abstract
We show that a class of non-stationary stochastic processes exhibiting long-range dependence satisfies one definition of time series convergence proposed in the literature. We also show explicitly the relationship between two time series concepts convergence proposed in the literature. Furthermore, we assess income per capita convergence for a sample OECD of economies using time series based tests. When we allow income shocks to exhibit long-range dependence, generalizing previous specifications, we find ample evidence of pairwise convergence among OECD economies. This finding is contrary to the literature that uses unit roots and cointegration tests.

Suggested Citation

  • Marcelo Mello & Roberto Guimaraes-Filho, 2007. "A note on fractional stochastic convergence," Economics Bulletin, AccessEcon, vol. 3(16), pages 1-14.
    • Handle: RePEc:ebl:ecbull:eb-07c20005
    as

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    File URL: http://www.accessecon.com/pubs/EB/2007/Volume3/EB-07C20005A.pdf
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    References listed on IDEAS

    as
    1. Bernard, Andrew B. & Durlauf, Steven N., 1996. "Interpreting tests of the convergence hypothesis," Journal of Econometrics, Elsevier, vol. 71(1-2), pages 161-173.
    2. Bernard, Andrew B & Durlauf, Steven N, 1995. "Convergence in International Output," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 10(2), pages 97-108, April-Jun.
    3. Elliott, Graham & Rothenberg, Thomas J & Stock, James H, 1996. "Efficient Tests for an Autoregressive Unit Root," Econometrica, Econometric Society, vol. 64(4), pages 813-836, July.
    4. Michelacci, Claudio & Zaffaroni, Paolo, 2000. "(Fractional) beta convergence," Journal of Monetary Economics, Elsevier, vol. 45(1), pages 129-153, February.
    5. Im, Kyung So & Pesaran, M. Hashem & Shin, Yongcheol, 2003. "Testing for unit roots in heterogeneous panels," Journal of Econometrics, Elsevier, vol. 115(1), pages 53-74, July.
    6. Karlsson, Sune & Lothgren, Mickael, 2000. "On the power and interpretation of panel unit root tests," Economics Letters, Elsevier, vol. 66(3), pages 249-255, March.
    7. De Long, J Bradford, 1988. "Productivity Growth, Convergence, and Welfare: Comment," American Economic Review, American Economic Association, vol. 78(5), pages 1138-1154, December.
    8. repec:bla:obuest:v:61:y:1999:i:0:p:631-52 is not listed on IDEAS
    9. Andrew B. Bernard & Steven N. Durlauf, 1991. "Convergence of International Output Movements," NBER Working Papers 3717, National Bureau of Economic Research, Inc.
    10. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
    11. Evans, Paul & Karras, Georgios, 1996. "Convergence revisited," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 249-265, April.
    12. Baumol, William J, 1986. "Productivity Growth, Convergence, and Welfare: What the Long-run Data Show," American Economic Review, American Economic Association, vol. 76(5), pages 1072-1085, December.
    13. Diebold, Francis X. & Rudebusch, Glenn D., 1991. "On the power of Dickey-Fuller tests against fractional alternatives," Economics Letters, Elsevier, vol. 35(2), pages 155-160, February.
    14. Serena Ng & Pierre Perron, 2001. "LAG Length Selection and the Construction of Unit Root Tests with Good Size and Power," Econometrica, Econometric Society, vol. 69(6), pages 1519-1554, November.
    15. G. S. Maddala & Shaowen Wu, 1999. "A Comparative Study of Unit Root Tests with Panel Data and a New Simple Test," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 631-652, November.
    16. C. W. J. Granger & Roselyne Joyeux, 1980. "An Introduction To Long‐Memory Time Series Models And Fractional Differencing," Journal of Time Series Analysis, Wiley Blackwell, vol. 1(1), pages 15-29, January.
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    Cited by:

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    2. Penna, Christiano Modesto & Linhares, Fabricio Carneiro, 2013. "Há controvérsia entre análises de beta e sigma-convergência no Brasil?," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 67(1), April.
    3. Lima, Luiz Renato & Notini, Hilton Hostalácio & Reis Gomes, Fábio Augusto, 2010. "Empirical Evidence on Convergence Across Brazilian States," Revista Brasileira de Economia - RBE, EPGE Brazilian School of Economics and Finance - FGV EPGE (Brazil), vol. 64(2), June.
    4. Sanghamitra Bandyopadhyay, 2016. "The persistence of inequality across Indian states," Working Papers 74, Queen Mary, University of London, School of Business and Management, Centre for Globalisation Research.
    5. Mello, Marcelo, 2010. "Stochastic Convergence Across Brazilian States," Brazilian Review of Econometrics, Sociedade Brasileira de Econometria - SBE, vol. 30(1), October.
    6. repec:fgv:epgrbe:v:67:n:1:a:6 is not listed on IDEAS
    7. Mishra, Tapas & Jumah, Adusei & Parhi, Mamata, 2008. "Age-structured Human Capital and Spatial Total Factor Productivity Dynamics," Economics Series 226, Institute for Advanced Studies.
    8. de Figueiredo, Erik Alencar, 2010. "Dynamics of regional unemployment rates in Brazil: Fractional behavior, structural breaks, and Markov switching," Economic Modelling, Elsevier, vol. 27(5), pages 900-908, September.
    9. Sanghamitra Bandyopadhyay, 2021. "The persistence of inequality across Indian states: A time series approach," Review of Development Economics, Wiley Blackwell, vol. 25(3), pages 1150-1171, August.

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    JEL classification:

    • C2 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables

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