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Khinchin and Marcinkiewicz-Zygmund-type inequalities for quadratic forms of independent random variables

✍ Scribed by Alexander Krantsberg

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 115 KB
Volume: 60
Category: Article
ISSN: 0167-7152
DOI: 10.1016/s0167-7152(02)00317-6

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✦ Synopsis

Let { k } n k=1 be uniformly bounded independent random variables with E k = 0. It is proved that there exist absolute constants C and ¿ 0 such that for any quadratic form = n i; k=1 a ik i k , where {a ik } n i; k=1 is a number sequence with a kk = 0, and ¿ 0,

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Random vectors satisfying Khinchine–Kaha

Random vectors satisfying Khinchine–Kahane type inequalities for linear and quadratic forms

✍ Jesús Bastero; Miguel Romance 📂 Article 📅 2005 🏛 John Wiley and Sons 🌐 English ⚖ 142 KB

## 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 conse