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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
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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

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    3. 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.
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    6. 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.
    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. 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.
    9. 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.
    10. Baillie, Richard T., 1996. "Long memory processes and fractional integration in econometrics," Journal of Econometrics, Elsevier, vol. 73(1), pages 5-59, July.
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    Citations

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    Cited by:

    1. Parhi, Mamata & Mishra, Tapas, 2009. "Spatial growth volatility and age-structured human capital dynamics in Europe," Economics Letters, Elsevier, vol. 102(3), pages 181-184, March.
    2. Penna, Christiano Modesto & Linhares, Fabricio Carneiro, 2013. "Há controvérsia entre análises de Beta e Sigma-Convergência no Brasil?," Revista Brasileira de Economia - RBE, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil), vol. 67(1), April.
    3. repec:sbe:breart:v:30:y:2010:i:1:a:2830 is not listed on IDEAS
    4. Lima, Luiz Renato & Notini, Hilton Hostalácio & Reis Gomes, Fábio Augusto, 2010. "Empirical Evidence on Convergence Across Brazilian States," Revista Brasileira de Economia - RBE, FGV/EPGE - Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil), vol. 64(2), June.
    5. repec:fgv:epgrbe:v:67:n:1:a:6 is not listed on IDEAS
    6. Sanghamitra Bandyopadhyay, 2016. "The persistence of inequality across Indian states," CSAE Working Paper Series 2016-26, Centre for the Study of African Economies, University of Oxford.
    7. 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.
    8. Mishra, Tapas & Jumah, Adusei & Parhi, Mamata, 2008. "Age-structured Human Capital and Spatial Total Factor Productivity Dynamics," Economics Series 226, Institute for Advanced Studies.

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    JEL classification:

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

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