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A Principal Components Analysis of Common Stochastic Trends in Heterogeneous Panel Data: Some Monte Carlo Evidence

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  • Stephen Hall
  • Stepana Lazarova
  • Giovanni Urga

Abstract

In this paper we propose a new approach based on principal components analysis to test for the number of common stochastic trends driving the non‐stationary series in a panel data set. This test has the advantage that it is also consistent when there is a mixture of I(0) and I(1) series, making it unnecessary to pre‐test the panel for unit root. Furthermore, the test solves the problem of dimensionality encountered in large panel data sets.

Suggested Citation

  • Stephen Hall & Stepana Lazarova & Giovanni Urga, 1999. "A Principal Components Analysis of Common Stochastic Trends in Heterogeneous Panel Data: Some Monte Carlo Evidence," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 61(S1), pages 749-767, November.
    • Handle: RePEc:bla:obuest:v:61:y:1999:i:s1:p:749-767
    DOI: 10.1111/1468-0084.0610s1749
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    Cited by:

    1. Hall, Stephen G. & Heilemann, Ullrich & Pauly, Peter (ed.), 2004. "Macroeconometric Models and European Monetary Union," RWI Schriften, RWI - Leibniz-Institut für Wirtschaftsforschung, volume 73, number 73.
    2. Badi H. Baltagi & Chihwa Kao, 2000. "Nonstationary Panels, Cointegration in Panels and Dynamic Panels: A Survey," Center for Policy Research Working Papers 16, Center for Policy Research, Maxwell School, Syracuse University.
    3. Mark J. Holmes & Arthur Grimes, 2005. "Is there long-run convergence of regional house prices in the UK?," Working Papers 05_11, Motu Economic and Public Policy Research.
    4. Giovanni Urga & Lorenzo Trapani, 2004. "Cointegration versus Spurious Regression in Heterogeneous Panels," Econometric Society 2004 North American Summer Meetings 266, Econometric Society.
    5. Panagiotis Reppas & Efthymios Tsionas & Dimitris Christopoulos, 2001. "European common stochastic long-run trends," Journal of Economics, Springer, vol. 74(2), pages 119-130, June.
    6. Mark J. Holmes & Arthur Grimes, 2008. "Is There Long-run Convergence among Regional House Prices in the UK?," Urban Studies, Urban Studies Journal Limited, vol. 45(8), pages 1531-1544, July.
    7. Alain Hecq & Franz Palm & Jean-Pierre Urbain, 2002. "Separation, Weak Exogeneity, And P-T Decomposition In Cointegrated Var Systems With Common Features," Econometric Reviews, Taylor & Francis Journals, vol. 21(3), pages 273-307.
    8. Mark J. Holmes, 2005. "Is Long-Run Output Convergence Associated With International Cooperation? Some New Evidence For Selected African Countries," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 30(2), pages 67-85, December.
    9. Jushan Bai & Chihwa Kao, 2005. "On the Estimation and Inference of a Panel Cointegration Model with Cross-Sectional Dependence," Center for Policy Research Working Papers 75, Center for Policy Research, Maxwell School, Syracuse University.

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