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] . A...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.展开更多
基金Supported by the National Natural Science Foundation of China (11071104, 11226210)the Foundation of Anhui Education Committee (KJ2012B117)+1 种基金Anhui University of Technolog Graduate Innovation Fund (D2011025)Research Foundation for Advanced Talents of Jiangsu University(11JDG116)
文摘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.