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On Priors on Cointegrating Spaces


  • Rodney W. Strachan

    () (Keele University, Department of Economics)


The focus of inference in Bayesian cointegration analysis has recently shifted from the cointegrating vectors to the cointegrating space. Two recent papers - Strachan and Inder (2004) and Villani (2004) - present uniform priors for the cointegrating space using different specifications for identification of the cointegrating vectors. This note clarifies the links between these approaches and shows that while the implied priors on the cointegrating space are identical, the posteriors have very different forms and this difference has implications for the inferences that can be obtained and for computational ease. Central to explaining these results is the specification of the adjustment coefficients under different identifying restrictions. The discussion extends to results on the priors in Geweke (1996) and Kleibergen and Paap (2002) and the interpretation of cointegrating vectors with linear identifying restrictions.

Suggested Citation

  • Rodney W. Strachan, 2004. "On Priors on Cointegrating Spaces," Keele Economics Research Papers KERP 2004/06, Centre for Economic Research, Keele University.
  • Handle: RePEc:kee:kerpuk:2004/06

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    Bayesian cointegration; Grassman manifold; Weak exogeneity; Identifying restrictions.;

    JEL classification:

    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection

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