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Non-stationary transition matrices: An overlooked issue in intra-distribution dynamics

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  • Hierro, María
  • Maza, Adolfo

Abstract

Previous papers dealing with the dynamics of income distributions have generally assumed stationary transition probabilities, effectively ruling out the possibility that intra-distribution dynamics change over time. This paper shows that the Chapman-Kolmogorov equation can be used to capture this added complexity. The paper also emphasizes that a test for stationarity should be carried out routinely because the stationarity assumption could lead to misleading conclusions.

Suggested Citation

  • Hierro, María & Maza, Adolfo, 2009. "Non-stationary transition matrices: An overlooked issue in intra-distribution dynamics," Economics Letters, Elsevier, vol. 103(2), pages 107-109, May.
  • Handle: RePEc:eee:ecolet:v:103:y:2009:i:2:p:107-109
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    References listed on IDEAS

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    1. Quah, Danny, 1993. "Empirical cross-section dynamics in economic growth," European Economic Review, Elsevier, vol. 37(2-3), pages 426-434, April.
    2. Cem Ertur & Julie Le Gallo & Catherine Baumont, 2006. "The European Regional Convergence Process, 1980-1995: Do Spatial Regimes and Spatial Dependence Matter?," International Regional Science Review, , vol. 29(1), pages 3-34, January.
    3. Adolfo Maza & Jose Villaverde, 2004. "Regional disparities in the EU: mobility and polarization," Applied Economics Letters, Taylor & Francis Journals, vol. 11(8), pages 517-522.
    4. Quah, Danny, 1997. "Empirics for Growth and Distribution: Stratification, Polarization, and Convergence Clubs," CEPR Discussion Papers 1586, C.E.P.R. Discussion Papers.
    5. Quah, Danny T., 1996. "Empirics for economic growth and convergence," European Economic Review, Elsevier, vol. 40(6), pages 1353-1375, June.
    6. Roberto Ezcurra & Pedro Pascual & Manuel Rapun, 2006. "Regional mobility in the European Union," Applied Economics, Taylor & Francis Journals, vol. 38(19), pages 2237-2253.
    7. 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.
    8. Fotopoulos, Georgios, 2006. "Nonparametric analysis of regional income dynamics: The case of Greece," Economics Letters, Elsevier, vol. 91(3), pages 450-457, June.
    9. Antonio J. Mora & Esther Vayá & Jordi Suriñach & Enrique López-Bazo, 1999. "original: Regional economic dynamics and convergence in the European Union," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 33(3), pages 343-370.
    10. Emili Tortosa-Ausina & Francisco Pérez & Matilde Mas & Francisco J. Goerlich, 2005. "Growth and Convergence Profiles in the Spanish Provinces (1965-1997)," Journal of Regional Science, Wiley Blackwell, vol. 45(1), pages 147-182.
    11. Magrini, Stefano, 1999. "The evolution of income disparities among the regions of the European Union," Regional Science and Urban Economics, Elsevier, vol. 29(2), pages 257-281, March.
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    Cited by:

    1. Tuomas, Malinen, 2011. "Inequality and savings: a reassesment of the relationship in cointegrated panels," MPRA Paper 33350, University Library of Munich, Germany.
    2. Tuomas Malinen, 2011. "Income Inequality and Savings: A Reassessment of the Relationship in Cointegrated Panels," DEGIT Conference Papers c016_076, DEGIT, Dynamics, Economic Growth, and International Trade.
    3. María Hierro & Adolfo Maza, 2015. "From Discrete To Continuous-Time Transition Matrices In Intra-Distribution Dynamics Analysis: An Application To Per Capita Wealth In Europe," Bulletin of Economic Research, Wiley Blackwell, vol. 67(3), pages 227-235, July.

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