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Non-Gaussian dynamic Bayesian modelling for panel data

  • Juarez, Miguel A.
  • Steel, Mark F. J.

A first order autoregressive non-Gaussian model for analysing panel data is proposed. The main feature is that the model is able to accommodate fat tails and also skewness, thus allowing for outliers and asymmetries. The modelling approach is to gain sufficient flexibility, without sacrificing interpretability and computational ease. The model incorporates individual effects and we pay specific attention to the elicitation of the prior. As the prior structure chosen is not proper, we derive conditions for the existence of the posterior. By considering a model with individual dynamic parameters we are also able to formally test whether the dynamic behaviour is common to all units in the panel. The methodology is illustrated with two applications involving earnings data and one on growth of countries.

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File URL: https://mpra.ub.uni-muenchen.de/450/1/MPRA_paper_450.pdf
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Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 450.

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Date of creation: Jul 2006
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Handle: RePEc:pra:mprapa:450
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  1. repec:adr:anecst:y:1999:i:55-56:p:16 is not listed on IDEAS
  2. Tsung-Wu Ho, 2006. "Income Thresholds And Growth Convergence: A Panel Data Approach," Manchester School, University of Manchester, vol. 74(2), pages 170-189, 03.
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  6. Adelchi Azzalini & Antonella Capitanio, 2003. "Distributions generated by perturbation of symmetry with emphasis on a multivariate skew "t"-distribution," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 65(2), pages 367-389.
  7. Pesaran, M.H., 2004. "A Pair-wise Approach to Testing for Output and Growth Convergence," Cambridge Working Papers in Economics 0453, Faculty of Economics, University of Cambridge.
  8. Lee, M. & Longmire, R. & Matyas, L. & Harris, M., 1996. "Growth Convergence: Some Panel Data Evidence," Monash Econometrics and Business Statistics Working Papers 14/96, Monash University, Department of Econometrics and Business Statistics.
  9. Hsiao, Cheng & Pesaran, M. Hashem, 2004. "Random Coefficient Panel Data Models," IZA Discussion Papers 1236, Institute for the Study of Labor (IZA).
  10. Jonathan Temple, 1999. "The New Growth Evidence," Journal of Economic Literature, American Economic Association, vol. 37(1), pages 112-156, March.
  11. Nandram, Balgobin & Petruccelli, Joseph D, 1997. "A Bayesian Analysis of Autoregressive Time Series Panel Data," Journal of Business & Economic Statistics, American Statistical Association, vol. 15(3), pages 328-34, July.
  12. Chib, Siddhartha & Greenberg, Edward, 1994. "Bayes inference in regression models with ARMA (p, q) errors," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 183-206.
  13. Fern ndez, Carmen & Steel, Mark F.J., 2000. "Bayesian Regression Analysis With Scale Mixtures Of Normals," Econometric Theory, Cambridge University Press, vol. 16(01), pages 80-101, February.
  14. Frühwirth-Schnatter, Sylvia & Kaufmann, Sylvia, 2004. "Model-based Clustering of Multiple Time Series," CEPR Discussion Papers 4650, C.E.P.R. Discussion Papers.
  15. Keisuke Hirano, 2002. "Semiparametric Bayesian Inference in Autoregressive Panel Data Models," Econometrica, Econometric Society, vol. 70(2), pages 781-799, March.
  16. Guillaume Gaulier & Christophe Hurlin & Philippe Jean-Pierre, 1999. "Testing Convergence: A Panel Data Approach," Annals of Economics and Statistics, GENES, issue 55-56, pages 411-427.
  17. Evans, Paul & Karras, Georgios, 1996. "Do Economies Converge? Evidence from a Panel of U.S. States," The Review of Economics and Statistics, MIT Press, vol. 78(3), pages 384-88, August.
  18. Hansen, Bruce E., 1999. "Threshold effects in non-dynamic panels: Estimation, testing, and inference," Journal of Econometrics, Elsevier, vol. 93(2), pages 345-368, December.
  19. Liu, Lon-Mu & Tiao, George C., 1980. "Random coefficient first-order autoregressive models," Journal of Econometrics, Elsevier, vol. 13(3), pages 305-325, August.
  20. Fernandez, Carmen & Osiewalski, Jacek & Steel, Mark F. J., 1997. "On the use of panel data in stochastic frontier models with improper priors," Journal of Econometrics, Elsevier, vol. 79(1), pages 169-193, July.
  21. Pesaran, H. & Smith, R. & Im, K.S., 1995. "Dynamic Linear Models for Heterogeneous Panels," Cambridge Working Papers in Economics 9503, Faculty of Economics, University of Cambridge.
  22. Fabio Canova, 2004. "Testing for Convergence Clubs in Income Per Capita: A Predictive Density Approach," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(1), pages 49-77, 02.
  23. Nazrul Islam, 1995. "Growth Empirics: A Panel Data Approach," The Quarterly Journal of Economics, Oxford University Press, vol. 110(4), pages 1127-1170.
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