Developing a Bayesian vector autoregression forecasting model

Abstract In recent years, Bayesian vector autoregression (BVAR) forecasting models have demonstrated considerable success in forecasting macroeconomic and regional economic variables. In spite of this success, these promising forecasting models have yet to be widely used in business forecasting. This is due, in part, to the rather formidable practical problem of specifying an appropriate BVAR forecasting model. The purpose of this paper is to simplify the model selection process by offering a systematic BVAR forecasting model selection procedure that is readily implemented using a popular software package. A practical five-step procedure is presented and then illustrated using a business forecasting application.

[1]  W. Fuller,et al.  LIKELIHOOD RATIO STATISTICS FOR AUTOREGRESSIVE TIME SERIES WITH A UNIT ROOT , 1981 .

[2]  T. Cargill,et al.  A vector autoregression model of the Nevada economy , 1988 .

[3]  Michael J. Artis,et al.  BVAR forecasts for the G-7 , 1990 .

[4]  C. Sims A nine variable probabilistic macroeconomic forecasting model , 1993 .

[5]  Robert F. Engle,et al.  Forecasting and testing in co-integrated systems , 1987 .

[6]  W. Fuller,et al.  Distribution of the Estimators for Autoregressive Time Series with a Unit Root , 1979 .

[7]  J. LeSage Incorporating regional wage relations in local forecasting models with a Bayesian prior , 1989 .

[8]  Robert B. Litterman Forecasting and policy analysis with Bayesian vector autoregression models , 1984 .

[9]  Stephen K. McNees Forecasting Accuracy of Alternative Techniques: A Comparison of U.S. Macroeconomic Forecasts , 1986 .

[10]  The Economic Outlook for Fifth District States in 1984: Forecasts from Vector Autoregression Models , 1984 .

[11]  C. Nelson,et al.  Trends and random walks in macroeconmic time series: Some evidence and implications , 1982 .

[12]  Fred L. Collopy,et al.  Error Measures for Generalizing About Forecasting Methods: Empirical Comparisons , 1992 .

[13]  Robert M. Kunst,et al.  A forecasting comparison of some var techniques , 1986 .

[14]  Gwilym M. Jenkins,et al.  Time series analysis, forecasting and control , 1972 .

[15]  R. Todd,et al.  More growth ahead for Ninth District states , 1984 .

[16]  Ken Holden,et al.  An examination of vector autoregressive forecasts for the U.K. economy , 1990 .

[17]  C. Granger,et al.  Co-integration and error correction: representation, estimation and testing , 1987 .

[18]  Michael Funke,et al.  Assessing the forecasting accuracy of monthly vector autoregressive models: The case of five OECD countries , 1990 .

[19]  C. Sims MACROECONOMICS AND REALITY , 1977 .

[20]  H. Theil Principles of econometrics , 1971 .

[21]  Robert B. Litterman Forecasting with Bayesian Vector Autoregressions-Five Years of Experience , 1984 .

[22]  Robert B. Litterman,et al.  Forecasting and Conditional Projection Using Realistic Prior Distributions , 1983 .

[23]  J. Stock,et al.  INFERENCE IN LINEAR TIME SERIES MODELS WITH SOME UNIT ROOTS , 1990 .

[24]  Clive W. J. Granger,et al.  The typical spectral shape of an economic variable , 1966 .

[25]  Robert Fildes,et al.  The evaluation of extrapolative forecasting methods , 1992 .

[26]  Richard A. Ashley,et al.  On the relative worth of recent macroeconomic forecasts , 1988 .

[27]  P. Perron,et al.  Trends and random walks in macroeconomic time series : Further evidence from a new approach , 1988 .

[28]  J. Stock,et al.  Testing for Common Trends , 1988 .

[29]  E. Ziegel Introduction to the Theory and Practice of Econometrics , 1989 .