浙江大学学报（理学版）2017，Vol.44Issue(4)：417-423,7.DOI:10.3785/j.issn.1008-9497.2017.04.005
多重随机环境中马氏链及其强大数定律
The multiple Markov chains in a random environment and the strong law of large numbers
摘要
Abstract
The model of multiple Markov chains in a random environment is introduced which is a promotion of Markov chains in a random environment with a more general application scope.Two application backgrounds of the multiple Markov chains in a random environment are given.Then, we discuss some relations and properties of the order m Markov chains and the order k Markov chains in a random environment,Markov chains, and 2m dimensional chains.At last, using the property of the multiple Markov chains in a random environment, we obtain the sufficient condition of the strong law of large numbers of the multiple Markov chains in a random environment, which are a promotion of the results from some literatures.关键词
随机环境/m重马氏链/强大数定律分类
数理科学引用本文复制引用
费时龙..多重随机环境中马氏链及其强大数定律[J].浙江大学学报（理学版）,2017,44(4):417-423,7.基金项目
浙江省自然科学基金资助项目(LY16F020031)；杭州师范大学科研启动经费项目(2017QDL008)；浙江省教育厅科研资助项目(Y201328875). （LY16F020031）
