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BAYESIAN THRESHOLD AUTOREGRESSIVE MODELS FOR NONLINEAR TIME SERIES
Authors:John  Geweke Nobuhiko  Terui
Affiliation:Federal Reserve Bank of Minneapolis and University of Minnesota, and University of Minnesota and Yamagata University
Abstract:Abstract. This paper provides a Bayesian approach to statistical inference in the threshold autoregressive model for time series. The exact posterior distribution of the delay and threshold parameters is derived, as is the multi-step-ahead predictive density. The proposed methods are applied to the Wolfe's sunspot and Canadian lynx data sets.
Keywords:Nonlinear time series  threshold model  Monte Carlo integration  regime change prediction  Wolfe's sunspot  Canadian lynx
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