Weak and strong moments of random vectors

Abstract

We discuss a conjecture about comparability of weak and strong moments of log-concave random vectors and show the conjectured inequality for unconditional vectors in normed spaces with a bounded cotype constant.

8 pages

Cited by in corpus (4)

• Moment estimates for convex measures
• Weak and strong moments of l_r-norms of log-concave vectors
• Moments of unconditional logarithmically concave vectors
• On ${\mathcal{Z}}_p$-norms of random vectors