Some generalized limit theorems concerning delayed sums of random sequence  

作　　者：WANG Zhong-zhi YANG Wei-guo SHI Zhi-yan 

机构地区：[1]School of Mathematics & Physics, AnHui University of Technology [2]Faculty of Science, Jiangsu University

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2013年第1期40-48,共9页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (11071104, 11226210);the Foundation of Anhui Education Committee (KJ2012B117);Anhui University of Technolog Graduate Innovation Fund (D2011025);Research Foundation for Advanced Talents of Jiangsu University(11JDG116)

摘　　要：For a sequence of arbitrarily dependent m-valued random variables （Xn） n∈N , the generalized strong limit theorem of the delayed average is investigated. In our proof, we improved the method proposed by Liu [6] . As an application, we also studied some limit properties of delayed average for inhomogeneous Markov chains.For a sequence of arbitrarily dependent m-valued random variables （Xn） n∈N , the generalized strong limit theorem of the delayed average is investigated. In our proof, we improved the method proposed by Liu [6] . As an application, we also studied some limit properties of delayed average for inhomogeneous Markov chains.

关 键 词：Limit theorem delayed average Borel-Cantelli lemma inhomogeneous Markov chain. 

分 类 号：O211.6[理学—概率论与数理统计]