Korobilis, Dimitris (2009): VAR forecasting using Bayesian variable selection.
Preview |
PDF
MPRA_paper_21124.pdf Download (272kB) | Preview |
Abstract
This paper develops methods for automatic selection of variables in forecasting Bayesian vector autoregressions (VARs) using the Gibbs sampler. In particular, I provide computationally efficient algorithms for stochastic variable selection in generic (linear and nonlinear) VARs. The performance of the proposed variable selection method is assessed in a small Monte Carlo experiment, and in forecasting 4 macroeconomic series of the UK using time-varying parameters vector autoregressions (TVP-VARs). Restricted models consistently improve upon their unrestricted counterparts in forecasting, showing the merits of variable selection in selecting parsimonious models.
Item Type: | MPRA Paper |
---|---|
Original Title: | VAR forecasting using Bayesian variable selection |
Language: | English |
Keywords: | Forecasting; variable selection; time-varying parameters; Bayesian |
Subjects: | C - Mathematical and Quantitative Methods > C3 - Multiple or Simultaneous Equation Models ; Multiple Variables > C32 - Time-Series Models ; Dynamic Quantile Regressions ; Dynamic Treatment Effect Models ; Diffusion Processes ; State Space Models C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C53 - Forecasting and Prediction Methods ; Simulation Methods C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C52 - Model Evaluation, Validation, and Selection E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E37 - Forecasting and Simulation: Models and Applications C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C11 - Bayesian Analysis: General E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E47 - Forecasting and Simulation: Models and Applications |
Item ID: | 21124 |
Depositing User: | Dimitris Korobilis |
Date Deposited: | 07 Mar 2010 00:31 |
Last Modified: | 26 Sep 2019 12:52 |
References: | Barbieri, M. M., and J. O. Berger. (2004). Optimal predictive model selection. The Annals of Statistics, 32, 870-897. Canova, F. (1993). Modelling and forecasting exchange rates using a Bayesian time varying coefficient model. Journal of Economic Dynamics and Control,17, 233-262. Canova, F., and M. Ciccarelli. (2004). Forecasting and turning point predictions in a Bayesian panel VAR model. Journal of Econometrics, 120, 327-359. Canova, F., and L. Gambetti. (2009). Structural changes in the US economy: Is there a role for monetary policy?. Journal of Economic Dynamics and Control, 33, 477-490. Carter, C., and R. Kohn (1994). On Gibbs sampling for state space models. Biometrika, 81, 541--553. Chipman, H., George, E. I., and R.E. McCulloch. (2001). The practical implementation of Bayesian model selection. In P. Lahiri (Ed.), Model Selection, (pp. 67-116). IMS Lecture Notes -- Monograph Series, vol. 38. Cogley, T., Morozov, S., and T. Sargent. (2005). Bayesian fan charts for U.K. inflation: Forecasting and sources of uncertainty in an evolving monetary system. Journal of Economic Dynamics and Control, 29, 1893-1925. Cogley, T., and T. Sargent. (2005). Drifts and volatilities: Monetary policies and outcomes in the post WWII U.S.. Review of Economic Dynamics, 8, 262-302. Clark, T. E., and M. W. McCracken. (2010). Averaging forecasts from VARs with uncertain instabilities. Journal of Applied Econometrics, 25, 5-29. Cremers, K. (2002). Stock return predictability: A Bayesian model selection perspective. Review of Financial Studies, 15, 1223-1249. D'Agostino, A., Gambetti, L., and D. Giannone. (2009). Macroeconomic forecasting and structural change. ECARES Working Paper 2009-020. Doan, T., R. Litterman, and C. A. Sims. (1984). Forecasting and conditional projection using realistic prior distributions. Econometric Reviews, 3, 1-100. Dellaportas, P., Foster, J. J., and I. Ntzoufras. (2002). On Bayesian model and variable selection using MCMC. Statistics and Computing, 12, 27-36. George, E. I., and D.P. Foster. (2000). Calibration and empirical bayes variable selection. Biometrika, 87, 731-747. George, E. I., and R.E. McCulloch. (1997). Approaches to Bayesian variable selection. Statistica Sinica, 7, 339-379. George, E. I., Sun, D. and S. Ni. (2008). Bayesian stochastic search for VAR model restrictions. Journal of Econometrics, 142, 553-580. Groen, J., Paap, R., and F. Ravazzolo. (2009). Real-time inflation forecasting in a changing world. Unpublished manuscript. Jochmann, M., Koop, G., and R.W. Strachan. (2008). Bayesian forecasting using stochastic search variable selection in a VAR subject to breaks. Unpublished manuscript. Kohn, R., Smith, M., and D. Chan. (2001). Nonparametric regression using linear combinations of basis functions. Statistics and Computing, 11, 313-322. Koop, G., and D. Korobilis. (2009a). Bayesian Multivariate time series methods for empirical macroeconomics. RCEA Working Paper 47-09. Koop, G., and D. Korobilis. (2009b). Forecasting inflation using dynamic model averaging. RCEA Working Paper 34-09. Koop, G., Leon-Gonzalez, R., and R. Strachan. (2009). On the evolution of the monetary policy transmission mechanism. Journal of Economic Dynamics and Control, 33, 997-1017. Koop, G., and S. M. Potter. (2008). Time-varying VARs with inequality restrictions. Unpublished manuscript. Korobilis, D. (2008). Forecasting in vector autoregressions with many predictors. Advances in Econometrics, 23, 403-431. Kuo, L., and B. Mallick. (1997). Variable selection for regression models. Shankya: The Indian Journal of Statistics, 60 (Series B), 65-81. Litterman, R. (1986). Forecasting with Bayesian vector autoregressions - 5 years of experience. Journal of Business and Economic Statistics, 4, 25-38. Primiceri, G. (2005). Time varying structural vector autoregressions and monetary policy. Review of Economic Studies, 72, 821-852. Shively, T. S., and R. Kohn. (1997). A Bayesian approach to model selection in stochastic coefficient regression models and structural time series models. Journal of Econometrics, 76, 39-52. Sims, C. (1980). Macroeconomics and reality. Econometrica 48, 1-80. Smets, F., and R. Wouters. (2003). An Estimated Dynamic Stochastic General Equilibrium Model of the Euro Area. Journal of the European Economic Association, 1, 1123-1175. Smith, M., and R. Kohn. (2002). Parsimonious covariance matrix estimation for longitudinal data. Journal of the American Statistical Association, 97, 1141-1153. Stock, J. H., and Mark W. Watson. (2005). Implications of dynamic factor models for VAR analysis. Unpublished paper, Princeton University. Villani, M. (2009). Steady-state priors for vector autoregressions. Journal of Applied Econometrics, 24, 630-650. Wong, F., Carter, C. K., and R. Kohn. (2003). Efficient estimation of covariance selection models. Biometrika, 90, 809-830. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/21124 |