English

Maxima of linear processes with heavy-tailed innovations and random coefficients

Probability 2021-10-05 v3

Abstract

We investigate maxima of linear processes with i.i.d. heavy-tailed innovations and random coefficients. Using the point process approach we derive functional convergence of the partial maxima stochastic process in the space of non-decreasing c\`{a}dl\`{a}g functions on [0,1][0,1] with the Skorohod M1M_{1} topology.

Keywords

Cite

@article{arxiv.2008.00771,
  title  = {Maxima of linear processes with heavy-tailed innovations and random coefficients},
  author = {Danijel Krizmanić},
  journal= {arXiv preprint arXiv:2008.00771},
  year   = {2021}
}

Comments

arXiv admin note: text overlap with arXiv:1710.07788

R2 v1 2026-06-23T17:35:50.879Z