Geodesic
On Weak Tail Domination of Random Vectors
Rafa/l Lata/la1
1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland and Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 P.O. Box 21 00-956 Warszawa 10, Poland
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 1, pp. 75-80

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ba57-1-8
Keywords: motivated question krzysztof oleszkiewicz study notion weak tail domination random vectors dominating random variable sufficiently regular weak tail domination implies strong tail domination particular positive answer oleszkiewiczs question would follow so called bernoulli conjecture prove unconditional logarithmically concave distribution strongly dominated product symmetric exponential measure

Rafa/l Lata/la 1

1 Institute of Mathematics Warsaw University Banacha 2 02-097 Warszawa, Poland and Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 P.O. Box 21 00-956 Warszawa 10, Poland 
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Rafa/l Lata/la. On Weak Tail Domination of Random Vectors. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 57 (2009) no. 1, pp. 75-80. doi: 10.4064/ba57-1-8

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