English

Non-asymptotical sharp exponential estimates for maximum distribution of discontinuous random fields

Probability 2015-11-02 v1

Abstract

We offer in this paper the non-asymptotical bilateral sharp exponential estimates for tail of maximum distribution of {\it discontinuous} random fields. Our consideration based on the theory of Prokhorov-Skorokhod spaces of random fields and on the theory of multivariate Banach spaces of random variables with exponential decreasing tails of distributions.

Keywords

Cite

@article{arxiv.1510.08945,
  title  = {Non-asymptotical sharp exponential estimates for maximum distribution of discontinuous random fields},
  author = {E. Ostrovsky and L. Sirota},
  journal= {arXiv preprint arXiv:1510.08945},
  year   = {2015}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1510.04182

R2 v1 2026-06-22T11:32:45.960Z