江苏大学学报（自然科学版）2012，Vol.33Issue(4)：486-490,5.DOI:10.3969/j.issn.1671-7775.2012.04.022
关于树指标二重非齐次马氏链的强极限定理
Strong limit theorems for second-order nonhomogeneous Markov chains indexed by a tree
摘要
Abstract
Some strong limit theorems relative to the geometric average of random transition probability for second-order nonhomogeneous Markov chains indexed by a tree were studied. The definition of the second-order nonhomogeneous Markov chains was introduced to propose a lemma. According to the lemma, some strong limit theorems relative to the geometric average of random transition probability with inequality for second-order nonhomogeneous Markov chains indexed by a tree were established. Some strong limit theorems relative to occasional occurred frequency of states with inequality for second-order nonhomogeneous Markov chains indexed by a tree were deduced. As corollaries, some strong limit theorems for finite nonhomogeneous Markov chains indexed by a tree were achieved.关键词
树/二重非齐次马氏链/随机转移概率/几何平均/状态出现频率Key words
tree/second-order nonhomogeneous Markov chains/random transition probability/geometric average/occurred frequency of states分类
数理科学引用本文复制引用
杨卫国,云广亮..关于树指标二重非齐次马氏链的强极限定理[J].江苏大学学报（自然科学版）,2012,33(4):486-490,5.基金项目
国家自然科学基金资助项目(11071104) （11071104）
