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Bayesian Inference in a Cointegrating Panel Data Model

Listed author(s):
  • Gary Koop
  • Roberto Leon-Gonzalez

    ()

  • Rodney Strachan

    ()

This paper develops methods of Bayesian inference in a cointegrating panel data model. This model involves each cross-sectional unit having a vector error correction representation. It is flexible in the sense that different cross-sectional units can have different cointegration ranks and cointegration spaces. Furthermore, the parameters which characterize short-run dynamics and deterministic components are allowed to vary over cross-sectional units. In addition to a noninformative prior, we introduce an informative prior which allows for information about the likely location of the cointegration space and about the degree of similarity in coefficients in different cross-sectional units. A collapsed Gibbs sampling algorithm is developed which allows for efficient posterior inference. Our methods are illustrated using real and artificial data.

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File URL: http://www.le.ac.uk/economics/research/RePEc/lec/leecon/dp06-2.pdf
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Paper provided by Department of Economics, University of Leicester in its series Discussion Papers in Economics with number 06/2.

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Date of creation: Jan 2006
Handle: RePEc:lec:leecon:06/2
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Department of Economics University of Leicester, University Road. Leicester. LE1 7RH. UK

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  1. Larsson, Rolf & Lyhagen, Johan & Löthgren, Mickael, 1998. "Likelihood-Based Cointegration Tests in Heterogeneous Panels," SSE/EFI Working Paper Series in Economics and Finance 250, Stockholm School of Economics, revised 27 Aug 1998.
  2. Peter C.B. Phillips, 1988. "Optimal Inference in Cointegrated Systems," Cowles Foundation Discussion Papers 866R, Cowles Foundation for Research in Economics, Yale University, revised Aug 1989.
  3. Groen, Jan J J & Kleibergen, Frank, 2003. "Likelihood-Based Cointegration Analysis in Panels of Vector Error-Correction Models," Journal of Business & Economic Statistics, American Statistical Association, vol. 21(2), pages 295-318, April.
  4. Kao, Chihwa, 1999. "Spurious regression and residual-based tests for cointegration in panel data," Journal of Econometrics, Elsevier, vol. 90(1), pages 1-44, May.
  5. Strachan, R., 2000. "Valid Bayesian Estimation of the Cointegrating Error Correction Model," Monash Econometrics and Business Statistics Working Papers 6/00, Monash University, Department of Econometrics and Business Statistics.
  6. Robert G. King & Charles I. Plosser & James H. Stock & Mark W. Watson, 1991. "Stochastic trends and economic fluctuations," Working Paper Series, Macroeconomic Issues 91-4, Federal Reserve Bank of Chicago.
  7. Suzanne McCoskey & Chihwa Kao, 1998. "A residual-based test of the null of cointegration in panel data," Econometric Reviews, Taylor & Francis Journals, vol. 17(1), pages 57-84.
  8. Carmen Fernández & Eduardo Ley & Mark F. J. Steel, "undated". "Benchmark priors for Bayesian Model averaging," Working Papers 98-06, FEDEA.
  9. John F. Geweke, 1995. "Bayesian reduced rank regression in econometrics," Working Papers 540, Federal Reserve Bank of Minneapolis.
  10. Frank Kleibergen & Herman K. van Dijk, 1998. "Bayesian Simultaneous Equations Analysis using Reduced Rank Structures," Tinbergen Institute Discussion Papers 98-025/4, Tinbergen Institute.
  11. Robert B. Litterman, 1985. "Forecasting with Bayesian vector autoregressions five years of experience," Working Papers 274, Federal Reserve Bank of Minneapolis.
  12. Various, 1957. "Additional Comments," NBER Chapters, in: The Measurement and Behavior of Unemployment, pages 585-600 National Bureau of Economic Research, Inc.
  13. Peter Phillips & Hyungsik Moon, 2000. "Nonstationary panel data analysis: an overview of some recent developments," Econometric Reviews, Taylor & Francis Journals, vol. 19(3), pages 263-286.
  14. Strachan, Rodney W. & Inder, Brett, 2004. "Bayesian analysis of the error correction model," Journal of Econometrics, Elsevier, vol. 123(2), pages 307-325, December.
  15. Kleibergen, Frank & van Dijk, Herman K., 1994. "On the Shape of the Likelihood/Posterior in Cointegration Models," Econometric Theory, Cambridge University Press, vol. 10(3-4), pages 514-551, August.
  16. Chikuse, Yasuko, 1990. "The matrix angular central Gaussian distribution," Journal of Multivariate Analysis, Elsevier, vol. 33(2), pages 265-274, May.
  17. Peter Pedroni, 2004. "Panel Cointegration: Asymptotic and Finite Sample Properties of Pooled Time Series Tests with an Application to the PPP Hypothesis," Department of Economics Working Papers 2004-15, Department of Economics, Williams College.
  18. Johansen, Soren, 1995. "Likelihood-Based Inference in Cointegrated Vector Autoregressive Models," OUP Catalogue, Oxford University Press, number 9780198774501, December.
  19. Strachan, R.W. & van Dijk, H.K., 2003. "Bayesian model selection for a sharp null and a diffuse alternative with econometric applications," Econometric Institute Research Papers EI 2003-12, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  20. 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.
  21. Villani, Mattias, 2005. "Bayesian Reference Analysis Of Cointegration," Econometric Theory, Cambridge University Press, vol. 21(02), pages 326-357, April.
  22. Li, Kai, 1999. "Testing Symmetry and Proportionality in PPP: A Panel-Data Approach," Journal of Business & Economic Statistics, American Statistical Association, vol. 17(4), pages 409-418, October.
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