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A Bayesian Analysis of Autoregressive Time Series Panel Data


  • Nandram, Balgobin
  • Petruccelli, Joseph D


The authors describe a Bayesian hierarchical model to analyze autoregressive time series panel data. They develop two algorithms using Markov-chain Monte Carlo methods, a restricted algorithm that enforces stationarity or nonstationarity conditions on the series, and an unrestricted algorithm that does not. Two examples show that restricting stationary series to be stationary provides no new information but restricting nonstationary series to be stationary leads to substantial differences from the unrestricted case. These examples and a simulation study also show that, compared with inference based on individual series, there are gains in precision for estimation and forecasting when similar series are pooled.

Suggested Citation

  • 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 328-334, July.
  • Handle: RePEc:bes:jnlbes:v:15:y:1997:i:3:p:328-34

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    References listed on IDEAS

    1. Lastrapes, William D. & Selgin, George, 1995. "The liquidity effect: Identifying short-run interest rate dynamics using long-run restrictions," Journal of Macroeconomics, Elsevier, vol. 17(3), pages 387-404.
    2. Lippi, Marco & Reichlin, Lucrezia, 1993. "The Dynamic Effects of Aggregate Demand and Supply Disturbances: Comment," American Economic Review, American Economic Association, vol. 83(3), pages 644-652, June.
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    4. Hendry, David F & Mizon, Grayham E, 1978. "Serial Correlation as a Convenient Simplification, not a Nuisance: A Comment on a Study of the Demand for Money by the Bank of England," Economic Journal, Royal Economic Society, vol. 88(351), pages 549-563, September.
    5. Bayoumi, Tamim & Eichengreen, Barry, 1994. "Macroeconomic Adjustment under Bretton Woods and the Post-Bretton-Woods Float: An Impulse-Response Analysis," Economic Journal, Royal Economic Society, vol. 104(425), pages 813-827, July.
    6. Sims, Christopher A, 1980. "Comparison of Interwar and Postwar Business Cycles: Monetarism Reconsidered," American Economic Review, American Economic Association, vol. 70(2), pages 250-257, May.
    7. King, Robert G. & Plosser, Charles I. & Stock, James H. & Watson, Mark W., 1991. "Stochastic Trends and Economic Fluctuations," American Economic Review, American Economic Association, vol. 81(4), pages 819-840, September.
    8. Hendry, David F., 1992. "An econometric analysis of TV advertising expenditure in the United Kingdom," Journal of Policy Modeling, Elsevier, vol. 14(3), pages 281-311, June.
    9. Tamim Bayoumi & Barry Eichengreen, 1992. "Shocking Aspects of European Monetary Unification," NBER Working Papers 3949, National Bureau of Economic Research, Inc.
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    11. Ahmed, Shaghil & Ickes, Barry W. & Ping Wang & Byung Sam Yoo, 1993. "International Business Cycles," American Economic Review, American Economic Association, vol. 83(3), pages 335-359, June.
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    Cited by:

    1. Miguel A. Juárez & Mark F. J. Steel, 2010. "Non‐gaussian dynamic bayesian modelling for panel data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(7), pages 1128-1154, November/.
    2. Juarez, Miguel A. & Steel, Mark F. J., 2006. "Model-based Clustering of non-Gaussian Panel Data," MPRA Paper 880, University Library of Munich, Germany.
    3. Baltagi, Badi H., 2013. "Panel Data Forecasting," Handbook of Economic Forecasting, Elsevier.
    4. Badi H. Baltagi, 2008. "Forecasting with panel data," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 27(2), pages 153-173.
    5. Cefis, Elena & Ciccarelli, Matteo & Orsenigo, Luigi, 2007. "Testing Gibrat's legacy: A Bayesian approach to study the growth of firms," Structural Change and Economic Dynamics, Elsevier, vol. 18(3), pages 348-369, September.
    6. Choi, Hyunyoung & Finnerty, Joseph, 2006. "Impact study on the interest rate futures market," The Quarterly Review of Economics and Finance, Elsevier, vol. 46(4), pages 495-512, September.

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