English

A counterexample to a hypothesis of light tail of maximum distribution for continuous random processes with light finite-dimensional tails

Probability 2012-08-31 v1

Abstract

We construct an example of a continuous centered random process with light tails of finite-dimensional distribution but with heavy tail of maximum distribution.

Keywords

Cite

@article{arxiv.1208.6281,
  title  = {A counterexample to a hypothesis of light tail of maximum distribution for continuous random processes with light finite-dimensional tails},
  author = {E. Ostrovsky and L. Sirota},
  journal= {arXiv preprint arXiv:1208.6281},
  year   = {2012}
}