English

On non-stationary threshold autoregressive models

Statistics Theory 2011-07-15 v1 Statistics Theory

Abstract

In this paper we study the limiting distributions of the least-squares estimators for the non-stationary first-order threshold autoregressive (TAR(1)) model. It is proved that the limiting behaviors of the TAR(1) process are very different from those of the classical unit root model and the explosive AR(1).

Cite

@article{arxiv.1107.2802,
  title  = {On non-stationary threshold autoregressive models},
  author = {Weidong Liu and Shiqing Ling and Qi-Man Shao},
  journal= {arXiv preprint arXiv:1107.2802},
  year   = {2011}
}

Comments

Published in at http://dx.doi.org/10.3150/10-BEJ306 the Bernoulli (http://isi.cbs.nl/bernoulli/) by the International Statistical Institute/Bernoulli Society (http://isi.cbs.nl/BS/bshome.htm)

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