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On Weak Tail Domination of Random Vectors

Probability 2014-09-19 v1

Abstract

Motivated by a question of Krzysztof Oleszkiewicz we study a notion of weak tail domination of random vectors. We show that if the dominating random variable is sufficiently regular weak tail domination implies strong tail domination. In particular positive answer to Oleszkiewicz question would follow from the so-called Bernoulli conjecture.

Keywords

Cite

@article{arxiv.0711.1477,
  title  = {On Weak Tail Domination of Random Vectors},
  author = {Rafał Latała},
  journal= {arXiv preprint arXiv:0711.1477},
  year   = {2014}
}

Comments

6 pages

R2 v1 2026-06-21T09:41:52.044Z