On Weak Tail Domination of Random Vectors

Details On Weak Tail Domination of Random Vectors On Weak Tail Domination of Random Vectors

2007-11-09

arxiv.org/abs/0711.1477v1

Mathematics

Probability

6 pages

Scientific paper

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.

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