关于渐近循环马氏链泛函的强大数定律  

Strong Law of Large Numbers for Asymptotic Circular Markov Chains

作　　者：高小燕 

机构地区：[1]北京金隅科技学校基础部,北京102403

出　　处：《大学数学》2013年第1期38-42,共5页College Mathematics

摘　　要：研究了一类非齐次马氏链———渐近循环马氏链泛函的强大数定律,首先引出了渐近循环马氏链的概念,然后给出了若干引理.利用了渐近循环马氏链关于状态序偶出现频率的强大数定理给出并证明了关于渐近循环马氏链泛函的强大数定律,所得定理作为推论可得到已有的结果.The strong law of large numbers for asymptotic circular Markov chains in nonhomogenous Markov chains is studied. Firstly, the definition of asymptotic circular Markov chains is introduced. Then some lemmas are given. Using the strong law of large numbers for asymptotic circular Markov chains on the frequencies of occurrence of states. , the strong law of large numbers for asymptotic circular Markov chains in nonhomogenous Markov chains is given and proved, some known results are generalized.

关 键 词：渐近循环马氏链 遍历 状态频率 渐近均分割性 强大数定律 

分 类 号：O211.4[理学—概率论与数理统计]