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Stochastic recurrence equation with diagonal matrices

Probability 2022-06-28 v2

Abstract

Multivariate process satisfying affine stochastic recurrence equation with generic diagonal matrices is considered. We prove that the stationary solution is regularly varying. The results are applicable to diagonal autoregressive models.

Keywords

Cite

@article{arxiv.2106.11243,
  title  = {Stochastic recurrence equation with diagonal matrices},
  author = {Ewa Damek},
  journal= {arXiv preprint arXiv:2106.11243},
  year   = {2022}
}

Comments

29 pages

R2 v1 2026-06-24T03:26:05.839Z