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On the strong law of large numbers and -convergence for double arrays of random elements in -uniformly smooth Banach spaces

✍ Scribed by Nguyen Van Quang; Nguyen Van Huan

Book ID
108267646
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
501 KB
Volume
79
Category
Article
ISSN
0167-7152

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For weighted sums of the form Sn = Ejknl anj (Vnj--Cnj) where {anj, 1 <<.j<~kn < oo, n~> 1} are constants, {V~j, 1 <~j<~k~, n>~l} are random elements in a real separable martingale type p Banach space, and {cnj, 1 <<.j<~kn, n>>-1} are suitable conditional expectations, a mean convergence theorem and