Seasonal autoregressions with regime switching

Authors

  • Roberta Paroli Università Cattolica del Sacro Cuore, Milano
  • Luigi Spezia Università degli Studi del Piemonte Orientale, Novara

DOI:

https://doi.org/10.6092/issn.1973-2201/367

Abstract

Markov switching autoregressive models (MSARMs) are efficient tools to analyse non-linear and non-normal time series. A special MSARM with a hidden state-dependent seasonal component is proposed here to analyse periodic time series. We present a complete Metropolis-within-Gibbs algorithm for constraint identification, for model choice and for the estimation of the unknown parameters and the latent data. These three consecutive steps are developed tackling the problem of the hidden states labeling, by means of random permutation sampling and constrained permutation sampling. The missing observations occurring within the observed series and the future values are respectively estimated and forecasted considering them as unknown parameters. We illustrate our methodology with an example about the dynamics of an air pollutant.

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Published

2007-10-19

How to Cite

Paroli, R., & Spezia, L. (2003). Seasonal autoregressions with regime switching. Statistica, 63(3), 517–536. https://doi.org/10.6092/issn.1973-2201/367

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Section

Articles