K-state switching models with endogenous transition distributions
Two 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.
|Date of creation:||2011|
|Date of revision:|
|Contact details of provider:|| Postal: |
Phone: +41 44 631 31 11
Fax: +41 44 631 39 11
Web page: http://www.snb.ch/en/ifor/research/Email:
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 D. Hamilton & Daniel F. Waggoner & Tao Zha, 2007.
"Normalization in Econometrics,"
Taylor & Francis Journals, vol. 26(2-4), pages 221-252.
- 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.
- Christopher A. Sims & Daniel F. Waggoner & Tao Zha, 2006. "Methods for inference in large multiple-equation Markov-switching models," Working Paper 2006-22, Federal Reserve Bank of Atlanta.
- Stefan Gerlach & Katrin Assenmacher-Wesche, 2006.
"Interpreting Euro area inflation at high and low frequencies,"
BIS Working Papers
195, Bank for International Settlements.
- 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.
- 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.
- James D. Hamilton & Michael T. Owyang, 2011.
"The Propagation of Regional Recessions,"
NBER Working Papers
16657, National Bureau of Economic Research, Inc.
- Pesaran, M.H. & Pettenuzzo, D. & Timmermann, A., 2004.
"‘Forecasting Time Series Subject to Multiple Structural Breaks’,"
Cambridge Working Papers in Economics
0433, Faculty of Economics, University of Cambridge.
- M. Hashem Pesaran & Davide Pettenuzzo & Allan Timmermann, 2006. "Forecasting Time Series Subject to Multiple Structural Breaks," Review of Economic Studies, Oxford University Press, vol. 73(4), pages 1057-1084.
- Pesaran, M. Hashem & Pettenuzzo, Davide & Timmermann, Allan, 2004. "Forecasting Time Series Subject to Multiple Structural Breaks," IZA Discussion Papers 1196, Institute for the Study of Labor (IZA).
- M. Hashem Pesaran & Davide Pettenuzzo & Allan Timmermann, 2004. "Forecasting Time Series Subject to Multiple Structural Breaks," CESifo Working Paper Series 1237, CESifo Group Munich.
- Pesaran, M Hashem & Pettenuzzo, Davide & Timmermann, Allan G, 2004. "Forecasting Time Series Subject to Multiple Structural Breaks," CEPR Discussion Papers 4636, C.E.P.R. Discussion Papers.
- Amisano, Gianni & Fagan, Gabriel, 2010.
"Money growth and inflation: a regime switching approach,"
Working Paper Series
1207, European Central Bank.
- Amisano, Gianni & Fagan, Gabriel, 2013. "Money growth and inflation: A regime switching approach," Journal of International Money and Finance, Elsevier, vol. 33(C), pages 118-145.
- Paap, R. & van Dijk, H.K., 2002.
"Bayes estimates of Markov trends in possibly cointegrated series: an application to US consumption and income,"
Econometric Institute Research Papers
EI 2002-42, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
- 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.
- 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.
- Sylvia Kaufmann, 2008. "Dating and forecasting turning points by Bayesian clustering with dynamic structure: A suggestion with an application to Austrian data," Working Papers 144, Oesterreichische Nationalbank (Austrian Central Bank).
- Gary Koop & Simon M. Potter, 2007. "Estimation and Forecasting in Models with Multiple Breaks," Review of Economic Studies, Oxford University Press, vol. 74(3), pages 763-789.
- Andrew J. Filardo & Stephen F. Gordon, 1993.
"Business cycle durations,"
Research Working Paper
93-11, Federal Reserve Bank of Kansas City.
- repec:bla:restud:v:73:y:2006:i:4:p:1057-1084 is not listed on IDEAS
- 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.
- Chib, Siddhartha, 1996. "Calculating posterior distributions and modal estimates in Markov mixture models," Journal of Econometrics, Elsevier, vol. 75(1), pages 79-97, November.
- 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.
- 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.
When requesting a correction, please mention this item's handle: RePEc:snb:snbwpa:2011-13. 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: (Enzo Rossi)
If references are entirely missing, you can add them using this form.