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K-state switching models with endogenous transition distributions

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  • Sylvia Kaufmann

Abstract

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.

Suggested Citation

  • Sylvia Kaufmann, 2011. "K-state switching models with endogenous transition distributions," Working Papers 2011-13, Swiss National Bank.
  • Handle: RePEc:snb:snbwpa:2011-13
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    References listed on IDEAS

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    Citations

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    Cited by:

    1. Monica Billio & Roberto Casarin & Francesco Ravazzolo & Herman K. van Dijk, 2013. "Interactions between eurozone and US booms and busts: A Bayesian panel Markov-switching VAR model," Working Paper 2013/20, Norges Bank.
    2. Paul Gaggl & Sylvia Kaufmann, 2014. "The Cyclical Component of Labor Market Polarization and Jobless Recoveries in the US," Working Papers 14.03, Swiss National Bank, Study Center Gerzensee.
    3. Amira MAJOUL & Olfa MANAI DABOUSSI, 2016. "Nonlinear Effects of the Financial Crisis on Economic Growth in Asian Countries: Empirical Evaluation with a PSTR Model," Asian Economic and Financial Review, Asian Economic and Social Society, vol. 6(8), pages 445-456, August.

    More about this item

    Keywords

    Bayesian analysis; credit; M3 growth; Markov switching; Phillips curve; permutation sampling; threshold level; time-varying probabilities;

    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; Diffusion Processes
    • 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

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