On Weak Tail Domination of Random Vectors

• Autorzy: Rafał Latała
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 60G50: Sums of independent random variables; random walks
• 52A40: Inequalities and extremum problems
• 60E15: Inequalities; stochastic orderings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2009
• Tom: 57
• Numer: 1
• Strony: 75-80

Daty

wydano

2009

Twórcy

autor

Rafał Latała

• Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, P.O. Box 21, 00-956 Warszawa 10, Poland

Identyfikatory

DOI

10.4064/ba57-1-8