On strong limit theorems concerning delayed sums of a random sequence |
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| Authors: | Zhong-Zhi Wang |
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| Affiliation: | 1. School of Mathematics & Physics, AnHui University of Technology, Ma’anshan, 243002, P. R. China
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| Abstract: | Let (ξ n ) n∈N be a sequence of arbitrarily dependent random variables. In this paper, a generalized strong limit theorem of the delayed average of (ξ n ) n∈N is investigated, then some limit theorems for arbitrary information sources follow. As corollaries, some known results are generalized. |
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