On Weak Tail Domination of Random Vectors

Rafał Latała. "On Weak Tail Domination of Random Vectors." Bulletin of the Polish Academy of Sciences. Mathematics 57.1 (2009): 75-80. <http://eudml.org/doc/281200>.

@article{RafałLatała2009,
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 then weak tail domination implies strong tail domination. In particular, a positive answer to Oleszkiewicz's question would follow from the so-called Bernoulli conjecture. We also prove that any unconditional logarithmically concave distribution is strongly dominated by a product symmetric exponential measure.},
author = {Rafał Latała},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {sums of independent random variables; Bernoulli series; random vectors; log-concave distributions},
language = {eng},
number = {1},
pages = {75-80},
title = {On Weak Tail Domination of Random Vectors},
url = {http://eudml.org/doc/281200},
volume = {57},
year = {2009},
}

TY - JOUR
AU - Rafał Latała
TI - On Weak Tail Domination of Random Vectors
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2009
VL - 57
IS - 1
SP - 75
EP - 80
AB - 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 then weak tail domination implies strong tail domination. In particular, a positive answer to Oleszkiewicz's question would follow from the so-called Bernoulli conjecture. We also prove that any unconditional logarithmically concave distribution is strongly dominated by a product symmetric exponential measure.
LA - eng
KW - sums of independent random variables; Bernoulli series; random vectors; log-concave distributions
UR - http://eudml.org/doc/281200
ER -