摘要
采用网微分法和分析运算方法来研究赌博系统中任意随机变量序列随机条件熵的一类强极限定理,并由此得出若干任意信源的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 arbitrary random variables on the gambling system are discussed by applying the differentiation on a net and analytical methods. As corollaries, some Shannon-Mcmillan theorems for arbitrary information source are obtained and some results for the discrete information source which has been obtained are extended.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2008年第2期353-357,共5页
Pure and Applied Mathematics
基金
江苏省高校自然科学基础研究项目(07KJD110048)