English

Exponential decay rate of partial autocorrelation coefficients of ARMA and short-memory processes

Statistics Theory 2016-02-09 v2 Statistics Theory

Abstract

We present a short proof of the fact that the exponential decay rate of partial autocorrelation coefficients of a short-memory process, in particular an ARMA process, is equal to the exponential decay rate of the coefficients of its infinite autoregressive representation.

Keywords

Cite

@article{arxiv.1511.07091,
  title  = {Exponential decay rate of partial autocorrelation coefficients of ARMA and short-memory processes},
  author = {Akimichi Takemura},
  journal= {arXiv preprint arXiv:1511.07091},
  year   = {2016}
}