The marginal likelihood of Structural Time Series Models, with application to the euroareaa nd US NAIRU
We propose a simple procedure for evaluating the marginal likelihood in univariate Structural Time Series (STS) models. For this we exploit the statistical properties of STS models and the results in Dickey (1968) to obtain the likelihood function marginally to the variance parameters. This strategy applies under normal-inverted gamma-2 prior distributions for the structural shocks and associated variances. For trend plus noise models such as the local level and the local linear trend, it yields the marginal likelihood by simple or double integration over the (0,1)-support. For trend plus cycle models, we show that marginalizing out the variance parameters greatly improves the accuracy of the Laplace method. We apply this ethodology to the analysis of US and euro area NAIRU.
|Date of creation:||Jan 2008|
|Date of revision:||Jan 2008|
|Contact details of provider:|| Postal: |
Web page: http://www.rcfea.org
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- James H. Stock & Mark W. Watson, 2007.
"Why Has U.S. Inflation Become Harder to Forecast?,"
Journal of Money, Credit and Banking,
Blackwell Publishing, vol. 39(s1), pages 3-33, 02.
- Joseph Stiglitz, 1997. "Reflections on the Natural Rate Hypothesis," Journal of Economic Perspectives, American Economic Association, vol. 11(1), pages 3-10, Winter.
- Christophe Planas & Werner Roeger & Alessandro Rossi, 2003.
"How much has labour taxation contributed to European structural unemployment?,"
European Economy - Economic Papers
183, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
- Planas, Christophe & Roeger, Werner & Rossi, Alessandro, 2007. "How much has labour taxation contributed to European structural unemployment?," Journal of Economic Dynamics and Control, Elsevier, vol. 31(4), pages 1359-1375, April.
- Christophe Planas & Werner Roeger & Alessandro Rossi, 2004. "How much has labour taxation contributed to European structural unemployment?," Econometrics 0408005, EconWPA.
- BAUWENS, Luc & ROMBOUTS, Jeroen V.K., .
CORE Discussion Papers RP
-1713, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
- Stock, James H & Watson, Mark W, 1988. "Variable Trends in Economic Time Series," Journal of Economic Perspectives, American Economic Association, vol. 2(3), pages 147-74, Summer.
- Gary D. Hansen, 1989.
"Technical Progress and Aggregate Fluctuations,"
UCLA Economics Working Papers
546, UCLA Department of Economics.
- Richard, J. -F. & Tompa, H., 1980.
"On the evaluation of poly-t density functions,"
Journal of Econometrics,
Elsevier, vol. 12(3), pages 335-351, April.
- Harvey, A.C. & Trimbur, T.M., 2001.
"General Model-based Filters for Extracting Cycles and Trends in Economic Time Series,"
Cambridge Working Papers in Economics
0113, Faculty of Economics, University of Cambridge.
- Andrew C. Harvey & Thomas M. Trimbur, 2003. "General Model-Based Filters for Extracting Cycles and Trends in Economic Time Series," The Review of Economics and Statistics, MIT Press, vol. 85(2), pages 244-255, May.
- Planas, Christophe & Rossi, Alessandro & Fiorentini, Gabriele, 2008. "Bayesian Analysis of the Output Gap," Journal of Business & Economic Statistics, American Statistical Association, vol. 26, pages 18-32, January.
- Robert E. Hall & Frederic S. Mishkin, 1980.
"The Sensitivity of Consumption to Transitory Income: Estimates from Panel Data on Households,"
NBER Working Papers
0505, National Bureau of Economic Research, Inc.
- Hall, Robert E & Mishkin, Frederic S, 1982. "The Sensitivity of Consumption to Transitory Income: Estimates from Panel Data on Households," Econometrica, Econometric Society, vol. 50(2), pages 461-81, March.
- Harvey, A.C. & Trimbur, T.M. & van Dijk, H.K., 2005.
"Trends and cycles in economic time series: A Bayesian approach,"
Econometric Institute Research Papers
EI 2005-27, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- Harvey, Andrew C. & Trimbur, Thomas M. & Van Dijk, Herman K., 2007. "Trends and cycles in economic time series: A Bayesian approach," Journal of Econometrics, Elsevier, vol. 140(2), pages 618-649, October.
- Froeb, Luke & Koyak, Robert, 1994. "Measuring and comparing smoothness in time series the production smoothing hypothesis," Journal of Econometrics, Elsevier, vol. 64(1-2), pages 97-122.
- C�cile Denis & Daniel Grenouilleau & Kieran Mc Morrow & Werner R�ger, 2006. "Calculating potential growth rates and output gaps - A revised production function approach," European Economy - Economic Papers 247, Directorate General Economic and Financial Affairs (DG ECFIN), European Commission.
- Harvey, Andrew, 2001. "Testing in Unobserved Components Models," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 20(1), pages 1-19, January.
- Clark, Peter K, 1987. "The Cyclical Component of U.S. Economic Activity," The Quarterly Journal of Economics, MIT Press, vol. 102(4), pages 797-814, November.
- Pagan, Adrian R, 1975. "A Note on the Extraction of Components from Time Series," Econometrica, Econometric Society, vol. 43(1), pages 163-68, January.
- Harvey, Andrew, 2006. "Forecasting with Unobserved Components Time Series Models," Handbook of Economic Forecasting, Elsevier.
- Kloek, Tuen & van Dijk, Herman K, 1978. "Bayesian Estimates of Equation System Parameters: An Application of Integration by Monte Carlo," Econometrica, Econometric Society, vol. 46(1), pages 1-19, January.
- Harvey, A C & Jaeger, A, 1993. "Detrending, Stylized Facts and the Business Cycle," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(3), pages 231-47, July-Sept.
- Kuttner, Kenneth N, 1994. "Estimating Potential Output as a Latent Variable," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(3), pages 361-68, July.
When requesting a correction, please mention this item's handle: RePEc:rim:rimwps:21-08. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Marco Savioli)
If references are entirely missing, you can add them using this form.