Ultra sub-Gaussian random vectors and Khinchine type inequalities

Series
Stochastics Seminar
Time
Thursday, February 12, 2015 - 3:05pm for 1 hour (actually 50 minutes)
Location
Skiles 006
Speaker
Piotr Nayar – IMA, Minneapolis – panayar@umn.edu
Organizer
Christian Houdré
We define the class of ultra sub-Gaussian random vectors and derive optimal comparison of even moments of linear combinations of such vectors in the case of the Euclidean norm. In particular, we get optimal constants in the classical Khinchine inequality. This is a joint work with Krzysztof Oleszkiewicz.