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AbstractIn this paper, we look at the instability of a self-exciting regime-switching autoregressive model, specifically regime-switching models that are locally stable in each of their regimes. It turns out that the local stability of each regime is insufficient to ensure the overall stability of the model. The instability’s mechanism is described, and a sufficient condition for the instability is provided.
Studies in Nonlinear Dynamics & Econometrics – de Gruyter
Published: Dec 1, 2022
Keywords: instability; regime switching models; SETAR
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