On the limiting behavior of weighted partial sums forB valued martingale difference sequences |
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| Authors: | Gan Shi-xin Qiu De-hua |
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| Affiliation: | (1) School of Mathematics and Statistics, Wuhan University, 430072 Wuhan, Hubei, China;(2) Department of Mathematics, Hengyang Teacher's College, 421008 Hengyang, Hunan, China |
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| Abstract: | Let {Xn, n≥1} be a martingale difference sequence and {a
nk
, 1⩽k⩽n,n⩾1} an array of constant real numbers. The limiting behavior of weighted partial sums ∑
k=1
n
a
nk
X
k
is investigated and some new results are obtained.
Foundation item: Supported by the National Natural Sciene Foundation of China (No. 10071058 and No. 10071019)
Biography: Gan Shi-xin (1939-), male, Prof lessor, research direction: martingale theory, probability limiting theory and
Banach space geometry theory. |
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| Keywords: | p-smoothable Banach space weighted partial sum martingale difference sequence strong law of large numbers |
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