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Methods for inference in large multiple-equation Markov-switching models

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Author Info
Sims, Christopher A.
Waggoner, Daniel F.
Zha, Tao

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Abstract

Inference for multiple-equation Markov-chain models raises a number of difficulties that are unlikely to appear in smaller models. Our framework allows for many regimes in the transition matrix, without letting the number of free parameters grow as the square as the number of regimes, but also without losing a convenient form for the posterior distribution. Calculation of marginal data densities is difficult in these high-dimensional models. This paper gives methods to overcome these difficulties, and explains why existing methods are unreliable. It makes suggestions for maximizing posterior density and initiating MCMC simulations that provide robustness against the complex likelihood shape.

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File URL: http://www.sciencedirect.com/science/article/B6VC0-4TDC0J6-1/2/bdbfe1b4242790c2b16baf9c63acb9fd
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Publisher Info
Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 146 (2008)
Issue (Month): 2 (October)
Pages: 255-274
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Handle: RePEc:eee:econom:v:146:y:2008:i:2:p:255-274

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Web page: http://www.elsevier.com/locate/jeconom

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Related research
Keywords: Density overlap New MHM Incremental and discontinuous changes Composite Markov process Integrated-out likelihood;

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References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Waggoner, Daniel F. & Zha, Tao, 2003. "Likelihood preserving normalization in multiple equation models," Journal of Econometrics, Elsevier, vol. 114(2), pages 329-347, June. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Eo, Yunjong, 2008. "Bayesian Analysis of DSGE Models with Regime Switching," MPRA Paper 13910, University Library of Munich, Germany, revised 11 Feb 2009. [Downloadable!]
  2. Markku Lanne & Helmut Luetkepohl & Katarzyna Maciejowska, 2009. "Structural Vector Autoregressions with Markov Switching," Economics Working Papers ECO2009/06, European University Institute. [Downloadable!]
  3. Zheng Liu & Daniel F. Waggoner & Tao Zha, 2009. "Sources of the Great Moderation: shocks, friction, or monetary policy?," Working Paper Series 2009-01, Federal Reserve Bank of San Francisco. [Downloadable!]
    Other versions:
  4. BenoƮt Mojon, 2007. "Monetary policy, output composition and the Great Moderation," Working Paper Series WP-07-07, Federal Reserve Bank of Chicago. [Downloadable!]
  5. Helmut Luetkepohl & Fang Xu, 2009. "The Role of the Log Transformation in Forecasting Economic Variables," CESifo Working Paper Series CESifo Working Paper No. , CESifo Group Munich. [Downloadable!]
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