Bayesian selection of threshold autoregressive models
Edward P. Campbell
Journal of Time Series Analysis, 2004, vol. 25, issue 4, 467-482
Abstract:
Abstract. An approach to Bayesian model selection in self‐exciting threshold autoregressive (SETAR) models is developed within a reversible jump Markov chain Monte Carlo (RJMCMC) framework. Our approach is examined via a simulation study and analysis of the Zurich monthly sunspots series. We find that the method converges rapidly to the optimal model, whilst efficiently exploring suboptimal models to quantify model uncertainty. A key finding is that the parsimony of the model selected is influenced by the specification of prior information, which can be examined and subjected to criticism. This is a strength of the Bayesian approach, allowing physical understanding to constrain the model selection algorithm.
Date: 2004
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https://doi.org/10.1111/j.1467-9892.2004.01726.x
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Persistent link: https://EconPapers.repec.org/RePEc:bla:jtsera:v:25:y:2004:i:4:p:467-482
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