一类非齐次马氏信源关于随机选择系统的广义Shannon-McMillan定理

摘要

通过构造相容分布和非负上鞅的方法,研究非齐次马氏信源关于赌博系统的一类广义Shannon-Mcmillan定理.并由此得出已有的非齐次马氏信源的Shannon-Mcmillan定理,推广了前人的结果.%A class of generalized Shannon-McMillan theorems for nonhomogeneous Markov information source on the gambling system are discussed by constructing the consistent distribution and nonnegative supermartingale. As corollaries, some Shannon-Mcmillan theorems for the nonhomogeneous Markov information source are obtained.