苏州科技学院学报(自然科学版)
囌州科技學院學報(自然科學版)
소주과기학원학보(자연과학판)
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY OF SUZHOU(NATURAL SCIENCE EDITION)
2015年
2期
24-29,80
,共7页
二阶非齐次马氏信源%二根树%Shannon-McMillan定理%广义赌博系统%相对熵密度
二階非齊次馬氏信源%二根樹%Shannon-McMillan定理%廣義賭博繫統%相對熵密度
이계비제차마씨신원%이근수%Shannon-McMillan정리%엄의도박계통%상대적밀도
second-order nonhomogeneous Markov information source%double rooted tree%Shannon-McMillan theorem%generalized gambling system%relative entropy density
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Shannon-McMillan定理,并推广了已有的结果。
研究任意二根樹圖上二階非齊次馬氏信源的極限性質。通過構造相容分佈和非負上鞅的方法,得到瞭任意無限連通二根樹上二階非齊次馬氏信源關于廣義賭博繫統的一類廣義漸近均勻分割性定理,也稱廣義Shannon-McMillan定理,併推廣瞭已有的結果。
연구임의이근수도상이계비제차마씨신원적겁한성질。통과구조상용분포화비부상앙적방법,득도료임의무한련통이근수상이계비제차마씨신원관우엄의도박계통적일류엄의점근균균분할성정리,야칭엄의Shannon-McMillan정리,병추엄료이유적결과。
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.