A Monte Carlo comparison of Bayesian testing for cointegration rank

This article considers a Bayesian testing for cointegration rank, using an approach developed by Strachan and van Dijk (2007), that is based on Koop, Leon-Gonzalez, and Strachan (2006). The Bayes factors are calculated for selecting cointegrating rank. We calculate the Bayes factors using two methods - the Schwarz BIC approximation and Chib's (1995) algorithm for calculating the marginal likelihood. We run Monte Carlo simulations to compare the two methods.

[1]  G. Schwarz Estimating the Dimension of a Model , 1978 .

[2]  Mattias Villani,et al.  BAYESIAN REFERENCE ANALYSIS OF COINTEGRATION , 2005, Econometric Theory.

[3]  M. Villani Bayesian point estimation of the cointegration space , 2006 .

[4]  Bayesian analysis of a vector autoregressive model with multiple structural breaks , 2008 .

[5]  L. Wasserman,et al.  Computing Bayes Factors by Combining Simulation and Asymptotic Approximations , 1997 .

[6]  Jurgen A. Doornik,et al.  Ox: an Object-oriented Matrix Programming Language , 1996 .

[7]  Jun S. Liu,et al.  The Collapsed Gibbs Sampler in Bayesian Computations with Applications to a Gene Regulation Problem , 1994 .

[8]  A. Gelfand,et al.  Bayesian Model Choice: Asymptotics and Exact Calculations , 1994 .

[9]  Herman K. van Dijk,et al.  Bayesian model averaging in vector autoregressive processes with an investigation of stability of the US great ratios and risk of a liquidity trap in the USA, UK and Japan , 2007 .

[10]  S. Chib Marginal Likelihood from the Gibbs Output , 1995 .

[11]  Jun S. Liu,et al.  Covariance structure of the Gibbs sampler with applications to the comparisons of estimators and augmentation schemes , 1994 .

[12]  L. Wasserman,et al.  Computing Bayes Factors Using a Generalization of the Savage-Dickey Density Ratio , 1995 .

[13]  Jiahui Wang,et al.  A Bayesian Time Series Model of Multiple Structural Changes in Level, Trend, and Variance , 2000 .

[14]  Rodney W. Strachan Valid Bayesian Estimation of the Cointegrating Error Correction Model , 2003 .

[15]  Brett Inder,et al.  Bayesian analysis of the error correction model , 2004 .

[16]  Gareth W. Peters,et al.  Model Selection and Adaptive Markov Chain Monte Carlo for Bayesian Cointegrated VAR Model , 2010 .

[17]  Rodney W. Strachan,et al.  Efficient Posterior Simulation for Cointegrated Models with Priors on the Cointegration Space , 2009 .