Bayesian prediction tests for structural stability

Abstract A Bayesian prediction test for structural stability is proposed which has several advantages over classical procedures. In particular, the small sample distribution of the test statistic is known under the null hypothesis, the same test statistic is appropriate for both regression and time series models, the test is valid even for nonstationary, multivariate AR and VAR models, and the test is robust to certain forms of nonnormality in the error distribution. A comparison of the Bayesian and classical tests indicates that the Bayesian test is equivalent to the predictive Chow test for regression models.