✦ LIBER ✦
Random vectors satisfying Khinchine–Kahane type inequalities for linear and quadratic forms
✍ Scribed by Jesús Bastero; Miguel Romance
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 142 KB
- Volume
- 278
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Abstract
We study the behaviour of moments of order p (1 < p < ∞) of affine and quadratic forms with respect to non log‐concave measures and we obtain an extension of Khinchine–Kahane inequality for new families of random vectors by using Pisier's inequalities for martingales. As a consequence, we get some estimates for the moments of affine and quadratic forms with respect to a tail volume of the unit ball of l^n^~q~ (0 < q < 1). (© 2005 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)