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Marcinkiewicz—Zygmund law for sequences of blockwise m-dependent random variables

✍ Scribed by Zhang Bo

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
189 KB
Volume
38
Category
Article
ISSN
0167-7152

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✍ Alexander Krantsberg 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 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 ¿ 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,