二根树指标马氏信源关于赌博系统的极限定理  

Limit theorems for Markov information source on gambling systems indexed by a double rooted tree

作　　者：顾小萍[1] 

机构地区：[1]无锡市广播电视大学五年制高职部,江苏无锡214011

出　　处：《苏州科技学院学报（自然科学版）》2015年第2期24-29,80,共7页Journal of Suzhou University of Science and Technology （Natural Science Edition）

基　　金：江苏城市职业学院"十二五"规划课题项目(12SEW-Y-039)

摘　　要：研究任意二根树图上二阶非齐次马氏信源的极限性质。通过构造相容分布和非负上鞅的方法,得到了任意无限连通二根树上二阶非齐次马氏信源关于广义赌博系统的一类广义渐近均匀分割性定理,也称广义ShannonMc Millan定理,并推广了已有的结果 。This paper aims to study some limit properties of second-order nonhomogeneous Markov information source indexed by a double rooted tree. By constructing the consistent distribution and nonnegative super-mar- tingale, the author obtained a class of generalized Shannon-McMillan theorems for the second-order nonhomoge- neous Markov information source indexed by a double rooted tree on the generalized gambling system. And the existed results were generalized.

关 键 词：二阶非齐次马氏信源 二根树 Shannon-Mc Millan定理 广义赌博系统 相对熵密度 

分 类 号：O211.6[理学—概率论与数理统计]