K-state switching models with endogenous transition distributions
AbstractTwo Bayesian sampling schemes are outlined to estimate a K-state Markov switching model with time-varying transition probabilities. The multinomial logit model for the transition probabilities is alternatively expressed as a random utility model and as a difference random utility model. The estimation uses data augmentation and both sampling schemes can be based on Gibbs sampling. Based on the model estimate, we are able to discriminate the model against a smooth transition model, in which the state probability may be influenced by a variable, but without depending on the past prevailing state. Formulating a definition allows to determine the relevant threshold level of the covariate influencing the transition distribution without resorting to the usual grid search. Identification issues are addressed with random permutation sampling. In terms of efficiency the extension to difference random utility in combination with random permutation sampling performs best. To illustrate the method, we estimate a two-pillar Phillips curve for the euro area, in which the inflation rate depends on the low-frequency components of M3 growth, real GDP growth and the change in the government bond yield, and on the highfrequency component of the output gap. Using recent data series, the effect of the low-frequency component of M3 growth depends on regimes determined by lagged credit growth.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Swiss National Bank in its series Working Papers with number 2011-13.
Length: 48 pages
Date of creation: 2011
Date of revision:
Contact details of provider:
Postal: Börsenstrasse 15, P. O. Box, CH - 8022 Zürich
Phone: +41 44 631 31 11
Fax: +41 44 631 39 11
Web page: http://www.snb.ch/en/ifor/research/
More information through EDIRC
Bayesian analysis; credit; M3 growth; Markov switching; Phillips curve; permutation sampling; threshold level; time-varying probabilities;
Find related papers by JEL classification:
- C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
- C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models
- E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
- E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
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.:
- Andrew J. Filardo & Stephen F. Gordon, 1993.
"Business cycle durations,"
Research Working Paper
93-11, Federal Reserve Bank of Kansas City.
- Geweke, John & Jiang, Yu, 2011. "Inference and prediction in a multiple-structural-break model," Journal of Econometrics, Elsevier, vol. 163(2), pages 172-185, August.
- Hashem Pesaran & Davide Pettenuzzo & Allan Timmermann, 2006. "Forecasting Time Series Subject to Multiple Structural Breaks," Review of Economic Studies, Wiley Blackwell, vol. 73(4), pages 1057-1084, October.
- Christopher A. Sims & Daniel F. Waggoner & Tao Zha, 2006.
"Methods for inference in large multiple-equation Markov-switching models,"
2006-22, Federal Reserve Bank of Atlanta.
- Sims, Christopher A. & Waggoner, Daniel F. & Zha, Tao, 2008. "Methods for inference in large multiple-equation Markov-switching models," Journal of Econometrics, Elsevier, vol. 146(2), pages 255-274, October.
- Sylvia Kaufmann, 2008.
"Dating and forecasting turning points by Bayesian clustering with dynamic structure: A suggestion with an application to Austrian data,"
144, Oesterreichische Nationalbank (Austrian Central Bank).
- Sylvia Kaufmann, 2010. "Dating and forecasting turning points by Bayesian clustering with dynamic structure: a suggestion with an application to Austrian data," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(2), pages 309-344.
- Fruhwirth-Schnatter, Sylvia & Fruhwirth, Rudolf, 2007. "Auxiliary mixture sampling with applications to logistic models," Computational Statistics & Data Analysis, Elsevier, vol. 51(7), pages 3509-3528, April.
- Assenmacher-Wesche, Katrin & Gerlach, Stefan, 2006.
"Interpreting Euro Area Inflation at High and Low Frequencies,"
CEPR Discussion Papers
5632, C.E.P.R. Discussion Papers.
- Assenmacher-Wesche, Katrin & Gerlach, Stefan, 2008. "Interpreting euro area inflation at high and low frequencies," European Economic Review, Elsevier, vol. 52(6), pages 964-986, August.
- Stefan Gerlach & Katrin Assenmacher-Wesche, 2006. "Interpreting Euro area inflation at high and low frequencies," BIS Working Papers 195, Bank for International Settlements.
- James D. Hamilton & Michael T. Owyang, 2009.
"The propagation of regional recessions,"
2009-013, Federal Reserve Bank of St. Louis.
- Paap, Richard & van Dijk, Herman K, 2003.
"Bayes Estimates of Markov Trends in Possibly Cointegrated Series: An Application to U.S. Consumption and Income,"
Journal of Business & Economic Statistics,
American Statistical Association, vol. 21(4), pages 547-63, October.
- Paap, R. & Dijk, H.K. van, 2002. "Bayes estimates of Markov trends in possibly cointegrated series: an application to US consumption and income," Econometric Institute Report EI 2002-42, Erasmus University Rotterdam, Econometric Institute.
- Richard Paap & Herman K. van Dijk, 1999. "Bayes Estimates of Markov Trends in Possibly Cointegrated Series: An Application to US Consumption and Income," Tinbergen Institute Discussion Papers 99-024/4, Tinbergen Institute.
- James D. Hamilton & Daniel F. Waggoner & Tao Zha, 2007.
"Normalization in Econometrics,"
Taylor and Francis Journals, vol. 26(2-4), pages 221-252.
- Chib, Siddhartha, 1998. "Estimation and comparison of multiple change-point models," Journal of Econometrics, Elsevier, vol. 86(2), pages 221-241, June.
- Monica Billio & Roberto Casarin, 2010. "Bayesian Estimation of Stochastic-Transition Markov-Switching Models for Business Cycle Analysis," Working Papers 1002, University of Brescia, Department of Economics.
- Chib, Siddhartha, 1996. "Calculating posterior distributions and modal estimates in Markov mixture models," Journal of Econometrics, Elsevier, vol. 75(1), pages 79-97, November.
- Gianni Amisano & Gabriel Fagan, 2010. "Money growth and inflation: a regime switching approach," Working Paper Series 1207, European Central Bank.
- Gary Koop & Simon M. Potter, 2007. "Estimation and Forecasting in Models with Multiple Breaks," Review of Economic Studies, Wiley Blackwell, vol. 74(3), pages 763-789, 07.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Enzo Rossi).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.