English

Estimation in threshold autoregressive models with correlated innovations

Statistics Theory 2015-03-19 v4 Probability Statistics Theory

Abstract

Large sample statistical analysis of threshold autoregressive (TAR) models is usually based on the assumption that the underlying driving noise is uncorrelated. In this paper, we consider a model, driven by Gaussian noise with geometric correlation tail and derive a complete characterization of the asymptotic distribution for the Bayes estimator of the threshold parameter.

Keywords

Cite

@article{arxiv.1108.1536,
  title  = {Estimation in threshold autoregressive models with correlated innovations},
  author = {P. Chigansky and Y. Kutoyants},
  journal= {arXiv preprint arXiv:1108.1536},
  year   = {2015}
}

Comments

to appear in Ann. Inst. Stat. Math

R2 v1 2026-06-21T18:47:26.588Z