Stability of cyclic threshold and threshold-like autoregressive time series models Academic Article uri icon


  • We investigate the stability, in terms of V-uniform ergodicity or transience, of cyclic threshold autoregressive time series models. These models cycle through one of a number of collections of subregions of the state space when the process is large. Our results can be applied in cases where the model has multiple cycles and/or affine thresholds. The bounds on the parameter space are sharper than those in previous results, and are easily verified. We extend these results to autoregressive nonlinear time series that can be approximated well by a threshold model (threshold-like).

author list (cited authors)

  • Boucher, T. R., & Cline, D

complete list of authors

  • Boucher, TR||Cline, DBH

publication date

  • January 2007