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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.

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  • 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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    Cited by:

    1. 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.
    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. Hwa-Taek Lee & Gawon Yoon, 2013. "Does purchasing power parity hold sometimes? Regime switching in real exchange rates," Applied Economics, Taylor & Francis Journals, vol. 45(16), pages 2279-2294, June.
    4. 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.
    5. 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 Limited, vol. 4(1), pages 52-68, January.

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