Some generalized limit theorems concerning delayed sums of random sequence |
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| Authors: | Zhong-zhi Wang Wei-guo Yang Zhi-yan Shi |
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| Institution: | 12990. School of Mathematics & Physics, AnHui University of Technology, Ma’anshan, 243002, China
22990. Faculty of Science, Jiangsu University, Zhenjiang, 212013, China
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| Abstract: | For a sequence of arbitrarily dependent m-valued random variables (X n ) n∈N, the generalized strong limit theorem of the delayed average is investigated. In our proof, we improved the method proposed by Liu6]. As an application, we also studied some limit properties of delayed average for inhomogeneous Markov chains. |
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| Keywords: | Limit theorem delayed average Borel-Cantelli lemma inhomogeneous Markov chain |
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