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Bayesian Inference in Cointegrated I (2) Systems: A Generalization of the Triangular Model

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  • Rodney W. Strachan

Abstract

This paper generalizes the cointegrating model of Phillips (1991) to allow for I (0), I (1) and I (2) processes. The model has a simple form that permits a wider range of I (2) processes than are usually considered, including a more flexible form of polynomial cointegration. Further, the specification relaxes restrictions identified by Phillips (1991) on the I (1) and I (2) cointegrating vectors and restrictions on how the stochastic trends enter the system. To date there has been little work on Bayesian I (2) analysis and so this paper attempts to address this gap in the literature. A method of Bayesian inference in potentially I (2) processes is presented with application to Australian money demand using a Jeffreys prior and a shrinkage prior.

Suggested Citation

  • Rodney W. Strachan, 2007. "Bayesian Inference in Cointegrated I (2) Systems: A Generalization of the Triangular Model," Econometric Reviews, Taylor & Francis Journals, vol. 26(2-4), pages 439-468.
  • Handle: RePEc:taf:emetrv:v:26:y:2007:i:2-4:p:439-468
    DOI: 10.1080/07474930701220618
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    Cited by:

    1. Tsay, Ruey S. & Ando, Tomohiro, 2012. "Bayesian panel data analysis for exploring the impact of subprime financial crisis on the US stock market," Computational Statistics & Data Analysis, Elsevier, vol. 56(11), pages 3345-3365.
    2. Justyna Wróblewska, 2009. "Bayesian Model Selection in the Analysis of Cointegration," Central European Journal of Economic Modelling and Econometrics, CEJEME, vol. 1(1), pages 57-69, March.

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