English

Stationary max-stable processes with the Markov property

Probability 2013-11-13 v2

Abstract

We prove that the class of discrete time stationary max-stable process satisfying the Markov property is equal, up to time reversal, to the class of stationary max-autoregressive processes of order 11. A similar statement is also proved for continuous time processes.

Keywords

Cite

@article{arxiv.1302.3041,
  title  = {Stationary max-stable processes with the Markov property},
  author = {Clément Dombry and Frédéric Eyi-Minko},
  journal= {arXiv preprint arXiv:1302.3041},
  year   = {2013}
}
R2 v1 2026-06-21T23:25:19.778Z