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A Time-Varying Threshold STAR Model with Applications

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  • Michael J. Dueker
  • Laura E. Jackson
  • Michael T. Owyang
  • Martin Sola

Abstract

Smooth-transition autoregressive (STAR) models, competitors of Markov-switching models, are limited by an assumed time-invariant threshold level. We augment the STAR model with a time-varying threshold that can be interpreted as a "tipping level" where the mean and dynamics of the VAR shift. Thus, the time-varying latent threshold level serves as a demarcation between regimes. We show how to estimate the model in a Bayesian framework using a Metropolis step and an unscented Kalman filter proposal. To show how allowing time variation in the threshold can affect the results, we present two applications: a model of the natural rate of unemployment and a model of regime-dependent government spending.

Suggested Citation

  • Michael J. Dueker & Laura E. Jackson & Michael T. Owyang & Martin Sola, 2010. "A Time-Varying Threshold STAR Model with Applications," Working Papers 2010-029, Federal Reserve Bank of St. Louis, revised 10 Aug 2022.
    • Handle: RePEc:fip:fedlwp:2010-029
    DOI: 10.20955/wp.2010.029
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    Cited by:

    1. Zhu, Yanli & Chen, Haiqiang, 2017. "The asymmetry of U.S. monetary policy: Evidence from a threshold Taylor rule with time-varying threshold values," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 473(C), pages 522-535.
    2. Lixiong Yang & Chingnun Lee & I‐Po Chen, 2021. "Threshold model with a time‐varying threshold based on Fourier approximation," Journal of Time Series Analysis, Wiley Blackwell, vol. 42(4), pages 406-430, July.

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    More about this item

    Keywords

    regime switching; smooth-transition autoregressive model; unemployment; nonlinear models;
    All these keywords.

    JEL classification:

    • 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
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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