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Bayesian analysis of a Markov switching temporal cointegration model

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  • Sugita, Katsuhiro

Abstract

This paper introduces a Bayesian approach to a Markov switching cointegration model that allows the cointegration relationships to be switched on and off depending on the regime. Unlike a classical method for nonlinear cointegration model that uses the cointegrating vector based on a linear cointegration model, the proposed Bayesian method allows for estimation of the cointegrating vector within a nonlinear framework conditional on the regime variables through the Gibbs sampling so that it generates more reliable estimation. The Bayes factors are applied to test for Markov switching and model specifications. The purchasing power parity (PPP) relationship between UK and US is investigated using the proposed model for illustration.

Suggested Citation

  • Sugita, Katsuhiro, 2008. "Bayesian analysis of a Markov switching temporal cointegration model," Japan and the World Economy, Elsevier, vol. 20(2), pages 257-274, March.
  • Handle: RePEc:eee:japwor:v:20:y:2008:i:2:p:257-274
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    1. Balke, Nathan S & Fomby, Thomas B, 1997. "Threshold Cointegration," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 38(3), pages 627-645, August.
    2. Engel, Charles, 2000. "Long-run PPP may not hold after all," Journal of International Economics, Elsevier, vol. 51(2), pages 243-273, August.
    3. Kim, Yoonbai, 1990. "Purchasing Power Parity in the Long Run: A Cointegration Approach," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 22(4), pages 491-503, November.
    4. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January.
    5. Phillips, Peter C.B. & Ploberger, Werner, 1994. "Posterior Odds Testing for a Unit Root with Data-Based Model Selection," Econometric Theory, Cambridge University Press, vol. 10(3-4), pages 774-808, August.
    6. Gregory, Allan W. & Hansen, Bruce E., 1996. "Residual-based tests for cointegration in models with regime shifts," Journal of Econometrics, Elsevier, vol. 70(1), pages 99-126, January.
    7. Campos, Julia & Ericsson, Neil R. & Hendry, David F., 1996. "Cointegration tests in the presence of structural breaks," Journal of Econometrics, Elsevier, vol. 70(1), pages 187-220, January.
    8. Kim, Chang-Jin & Nelson, Charles R, 2001. "A Bayesian Approach to Testing for Markov-Switching in Univariate and Dynamic Factor Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 989-1013, November.
    9. Chang-Jin Kim & Charles R. Nelson, 1998. "Business Cycle Turning Points, A New Coincident Index, And Tests Of Duration Dependence Based On A Dynamic Factor Model With Regime Switching," The Review of Economics and Statistics, MIT Press, vol. 80(2), pages 188-201, May.
    10. Walter Enders & Kamol Chumrusphonlert, 2004. "Threshold cointegration and purchasing power parity in the pacific nations," Applied Economics, Taylor & Francis Journals, vol. 36(9), pages 889-896.
    11. Hendry, David F., 1995. "Dynamic Econometrics," OUP Catalogue, Oxford University Press, number 9780198283164.
    12. Garcia, Rene, 1998. "Asymptotic Null Distribution of the Likelihood Ratio Test in Markov Switching Models," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 39(3), pages 763-788, August.
    13. Wang, Jiahui & Zivot, Eric, 2000. "A Bayesian Time Series Model of Multiple Structural Changes in Level, Trend, and Variance," Journal of Business & Economic Statistics, American Statistical Association, vol. 18(3), pages 374-386, July.
    14. Froot, Kenneth A. & Kim, Michael & Rogoff, Kenneth, 1995. "The Law of One Price Over 700 Years," Working Papers 95-13, C.V. Starr Center for Applied Economics, New York University.
    15. Abuaf, Niso & Jorion, Philippe, 1990. " Purchasing Power Parity in the Long Run," Journal of Finance, American Finance Association, vol. 45(1), pages 157-174, March.
    16. Bertola, Giuseppe & Caballero, Ricardo J, 1992. "Target Zones and Realignments," American Economic Review, American Economic Association, vol. 82(3), pages 520-536, June.
    17. Chib, Siddhartha, 1998. "Estimation and comparison of multiple change-point models," Journal of Econometrics, Elsevier, vol. 86(2), pages 221-241, June.
    18. Robert P. Flood & Peter M. Garber, 1989. "The Linkage Between Speculative Attack and Target Zone Models of Exchange Rates," NBER Working Papers 2918, National Bureau of Economic Research, Inc.
    19. Paul R. Krugman, 1988. "Target Zones and Exchange Rate Dynamics," NBER Working Papers 2481, National Bureau of Economic Research, Inc.
    20. Johansen, Søren & Juselius, Katarina, 1992. "Testing structural hypotheses in a multivariate cointegration analysis of the PPP and the UIP for UK," Journal of Econometrics, Elsevier, vol. 53(1-3), pages 211-244.
    21. Hamilton, James D, 1989. "A New Approach to the Economic Analysis of Nonstationary Time Series and the Business Cycle," Econometrica, Econometric Society, vol. 57(2), pages 357-384, March.
    22. Zacharias Psaradakis & Martin Sola & Fabio Spagnolo, 2004. "On Markov error-correction models, with an application to stock prices and dividends," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 19(1), pages 69-88.
    23. Phillips, Peter C B & Ploberger, Werner, 1996. "An Asymptotic Theory of Bayesian Inference for Time Series," Econometrica, Econometric Society, vol. 64(2), pages 381-412, March.
    24. Koop, Gary & Potter, Simon M., 1998. "Bayes factors and nonlinearity: Evidence from economic time series1," Journal of Econometrics, Elsevier, vol. 88(2), pages 251-281, November.
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    Cited by:

    1. Deborah Gefang, 2012. "Money‐output Causality Revisited – A Bayesian Logistic Smooth Transition VECM Perspective," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 74(1), pages 131-151, February.
    2. Angang Hu & Jie Lu & Zhengyan Xiao, 2011. "Has China's Economy Become More Stable and Inertial? Nonlinear Investigations Based on Structural Break and Duration Dependent Regime Switching Models," Annals of Economics and Finance, Society for AEF, vol. 12(1), pages 157-181, May.
    3. Katsuhiro Sugita, 2017. "Time Series Analysis of the US Term Structure of Interest Rates Using a Bayesian Markov Switching Cointegration Model," International Journal of Economics and Finance, Canadian Center of Science and Education, vol. 9(3), pages 49-56, March.
    4. Jie Lu & Angang Hu & Yilong Yan, 2012. "Nonlinear investigations of China's agricultural transformation based on the structural break regime switching model," China Agricultural Economic Review, Emerald Group Publishing, vol. 4(1), pages 52-68, January.

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