【摘要】 本文通过概率空间上的任意测度与另一任意测度相比较,研究了任意随机多元函数序列普遍成立的一类强偏差定理.利用网微分法与分析运算法,获得了若干任意信源的Shannon-Mcmillan随机逼近定理,并将已有的关于随机多元函数序列及离散信源的结果加以推广.更多还原

【Abstract】 In this article,a class of small-deviation theorems for the multivariate function sequence of arbitrary random variables is discussed by comparison between the measure P and the measure Q.By using differentiation on a net and analytical methods,some Shannon-Mcmillan approximation theorems for arbitrary information source are obtained and some known results for the random multivariate function sequence and the discrete information source are extended.更多还原