English

The intersection of past and future for multivariate stationary processes

Probability 2015-05-26 v2 Statistics Theory Statistics Theory

Abstract

We consider an intersection of past and future property of multivariate stationary processes which is the key to deriving various representation theorems for their linear predictor coefficient matrices. We extend useful spectral characterizations for this property from univariate processes to multivariate processes.

Keywords

Cite

@article{arxiv.1501.00625,
  title  = {The intersection of past and future for multivariate stationary processes},
  author = {Akihiko Inoue and Yukio Kasahara and Mohsen Pourahmadi},
  journal= {arXiv preprint arXiv:1501.00625},
  year   = {2015}
}

Comments

8 pages

R2 v1 2026-06-22T07:50:08.058Z