Almost sure convergence of weighted sums of NA sequences |
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| Authors: | Cheng Riyan and Gan Shixin |
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| Institution: | (1) Department of Mathematics, Wuhan University, 430072 Wuhan, China |
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| Abstract: | For double arrays of constants {a
ni, 1≤i≤k
n, n≥1} and NA r.v. 's {X
n, n≥1}, conditions for almost sure convergence of
are given. Both casesk
n ↑ ∞ andk
n=∞ are treated. A Marcinkiewicz-type theorem for i. d. NA sequences is obtained as a special case.
Supported by the National Natural Science Foundation of China
Cheng Riyan: born in 1968, MS student |
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| Keywords: | a s convergence NA sequence weighted sum |
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