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Inequalities for moments of symmetric polynomial forms in random variables

โœ Scribed by L. S. Ponomarenko


Publisher
Springer US
Year
1996
Tongue
English
Weight
66 KB
Volume
81
Category
Article
ISSN
1573-8795

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โœ Alexander Krantsberg ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 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 ยฟ 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 ยฟ 0,