m阶非齐次马氏信源关于广义随机选择系统的一类Shannon-McMillan定理

摘要

文中采用网微分法和分析运算的方法研究广义赌博系统中m阶非齐次马氏信源随机条件熵的一类强极限定理,并由此得出m阶马氏信源,非齐次马氏信源的Shannon-McMillan定理.将已有的关于离散信源的结果加以推广.%A class of strong limit theorems for the random conditional entropy densities of the sequence of mth-or-der nonhomogeneous Markov chain on the gambling system are discussed by applying the differentiation on a net and analytical methods. As corollaries, some Shannon-Mcmillan theorems for m-order Markov information source are obtained and some results obtained by some authors for the discrete information source are extended.