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Analytic theory of linear forms of independent random variables

✍ Scribed by A. A. Zinger; A. M. Kagan


Publisher
Springer US
Year
1989
Tongue
English
Weight
393 KB
Volume
44
Category
Article
ISSN
1573-8795

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Khinchin and Marcinkiewicz-Zygmund-type
✍ Alexander Krantsberg πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 115 KB

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 ΒΏ 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 ΒΏ 0,