Almost sure convergence of weighted sums of NA sequences |
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| Authors: | Cheng Riyan and Gan Shixin |
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| Affiliation: | (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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