江苏大学学报（自然科学版）2011，Vol.32Issue(1)：116-119,4.DOI:10.3969/j.issn.1671-7775.2011.01.025
渐近循环马氏链的强大数定律
Strong law of large numbers for asymptotic circular Markov chains
摘要
Abstract
The strong limit theorem of asymptotic circular Markov chains is studied. The definition of asymptotic circular Markov chains is introduced. By applying the limit property for dual functions of nonhomogeneous Markov chains, the strong limit theorem on the frequencies of occurrence of states for asymptotic circular Markov chains is established. Finally, the strong law of large numbers on the frequencies of occurrence of states for asymptotic circular Markov chains is obtained. As corollaries, the strong law of large numbers on the frequencies of occurrence of states for circular Markov chains is obtained.关键词
渐近循环马氏链/强极限定理/状态频率/强大数定律/遍历分类
数理科学引用本文复制引用
杨卫国,钟萍萍,梁佩佩..渐近循环马氏链的强大数定律[J].江苏大学学报（自然科学版）,2011,32(1):116-119,4.基金项目
国家自然科学基金资助项目(11071104). （11071104）
